{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":20,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":20,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12","author_layer_release":"2026-06-26"},"query_hash":"a0bee5d555ed","filters":{"venue":"Regular and Chaotic Dynamics"}},"results":[{"id":"W2037293879","doi":"10.1134/s1560354710040076","title":"Contact complete integrability","year":2010,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":20,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Dynamical billiards; Integrable system; Symplectic geometry; Foliation (geology); Invariant (physics); Equivalence (formal languages); Space (punctuation); Ellipsoid","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.005841713561093372,"gpt":0.2126556558009848,"spread":0.2068139422398915,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000395216,0.0002739269,0.0004310304,0.0005969873,0.0009061706,0.001425815,0.0004458655,0.0006720722,0.005979537],"category_scores_gemma":[0.001442446,0.0001601382,0.0005996919,0.0002669791,0.002352323,0.002543291,0.001737038,0.001089392,0.0002709265],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000619286,"about_ca_system_score_gemma":0.0003648211,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007165663,"about_ca_topic_score_gemma":0.0004204409,"domain_scores_codex":[0.9994548,0.00004913287,0.00002727532,0.00009878172,0.0002700685,0.00009991019],"domain_scores_gemma":[0.9994389,0.0001100599,0.00009235878,0.0001420933,0.0001054457,0.0001111606],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001022754,0.00002010526,0.0005094693,0.00002371257,0.000006919124,0.0002337249,0.0002107836,0.001875015,0.002185086,0.9908813,0.000381511,0.003662151],"study_design_scores_gemma":[0.00001696102,0.00004433331,0.001486733,0.00001348659,0.000006973841,0.0005673001,0.0001583494,0.02791598,0.001881671,0.9626423,0.005254911,0.00001102846],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6159515,0.0003781463,0.2505216,0.0009069018,0.00009810581,0.0001214917,0.0002994228,0.0002726876,0.1314502],"genre_scores_gemma":[0.986943,0.00009763315,0.005674681,0.00007235268,0.00006494045,0.0000343522,0.0001363594,0.00004303853,0.006933637],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005979537,"threshold_uncertainty_score":0.02000356,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2078434847","doi":"10.1134/s156035471105008x","title":"Optimal control on Lie groups and integrable Hamiltonian systems","year":2011,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":19,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Isospectral; Lambda; Mathematics; Lie group; Lie algebra; Differential operator; Integrable system; Algebra over a field; Hamiltonian (control theory); Differential geometry; Geodesic; Mathematical physics; Context (archaeology); Pure mathematics; Physics; Geometry; Quantum mechanics","authors":[{"name":"Velimir Jurdjevic","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.007695037487204657,"gpt":0.1944929126922573,"spread":0.1867978752050527,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006041609,0.0004116631,0.000434371,0.000737306,0.0005312349,0.0009072782,0.0005478564,0.0005232787,0.001641923],"category_scores_gemma":[0.001332517,0.0001519316,0.0002859846,0.0004211865,0.00268063,0.0009278251,0.001150729,0.0006635228,0.0001337367],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001453347,"about_ca_system_score_gemma":0.0008410965,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002544265,"about_ca_topic_score_gemma":0.001804258,"domain_scores_codex":[0.9996419,0.0001384083,0.0000098847,0.00005014023,0.0001006962,0.00005895294],"domain_scores_gemma":[0.9996877,0.0001078313,0.00008037006,0.00002311682,0.00003957128,0.0000614621],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001945454,0.0000226768,0.0001415956,0.00002266446,0.00001180161,0.00005367345,0.0001148114,0.03714332,0.001277013,0.9553048,0.0007031148,0.005185033],"study_design_scores_gemma":[0.00001541793,0.00002576982,0.0001812036,0.000008347243,0.000002565595,0.00001290304,0.00005690168,0.1477181,0.0001955373,0.8506414,0.001134644,0.000007216018],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4765303,0.004584289,0.4031819,0.005985362,0.0002926746,0.00005884772,0.0001096067,0.0003185917,0.1089385],"genre_scores_gemma":[0.9856526,0.0007031719,0.007480356,0.0001595552,0.000126923,0.00003498988,0.00003588823,0.00003110548,0.005775432],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002544265,"threshold_uncertainty_score":0.01054478,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1594329973","doi":"10.1134/s156035470706007x","title":"The 1:±2 resonance","year":2007,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":16,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Torus; Hamiltonian system; Twist; Monodromy; Hamiltonian (control theory); Periodic orbits; Resonance (particle physics); Kolmogorov–Arnold–Moser theorem","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.003210037823658574,"gpt":0.2075876321439088,"spread":0.2043775943202502,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001714515,0.0003064536,0.0001805886,0.0004316836,0.000681188,0.0007851117,0.0003022409,0.0005467581,0.006600988],"category_scores_gemma":[0.0007445851,0.0001527793,0.000192915,0.0001200218,0.001266709,0.001044173,0.0005847929,0.0005538659,0.0006288065],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003361177,"about_ca_system_score_gemma":0.0001833627,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002615871,"about_ca_topic_score_gemma":0.000152969,"domain_scores_codex":[0.9998603,0.0000189039,0.000004298776,0.00004481547,0.00004369815,0.00002793803],"domain_scores_gemma":[0.9998507,0.00003526447,0.00003221731,0.00002996684,0.00002190262,0.00002993907],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001558506,0.00003743831,0.00145262,0.00008998369,0.000009043694,0.000653967,0.0009581323,0.003876426,0.1090971,0.8635528,0.001956772,0.01815977],"study_design_scores_gemma":[0.00005123638,0.0002330326,0.005237234,0.00005230166,0.00001560882,0.002440258,0.0007847951,0.07267009,0.04087382,0.8598601,0.01771088,0.00007074363],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8623455,0.0002828929,0.05340794,0.000857744,0.0001513011,0.0000324608,0.00008311636,0.0003345771,0.08250453],"genre_scores_gemma":[0.9903618,0.00005145941,0.004622745,0.00007758958,0.00003571683,0.0000107928,0.00002096914,0.00004063901,0.004778279],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006600988,"threshold_uncertainty_score":0.02208245,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2621066754","doi":"10.1134/s1560354717030030","title":"Adaptive estimation of nonlinear parameters of a nonholonomic spherical robot using a modified fuzzy-based speed gradient algorithm","year":2017,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Control and Dynamics of Mobile Robots","field":"Engineering","cited_by":11,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"","keywords":"Control theory (sociology); Nonlinear system; Chaotic; Robot; Fuzzy logic; Parametric statistics; Convergence (economics); Mathematics; Heuristic; Computer science; Nonholonomic system; Controller (irrigation); Algorithm; Artificial intelligence; Mobile robot","authors":[{"name":"M. Roozegar","is_ca":true},{"name":"M. J. Mahjoob","is_ca":false},{"name":"Moosa Ayati","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01500873305711041,"gpt":0.226011303059098,"spread":0.2110025700019875,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003692141,0.000484322,0.0004916147,0.0002982703,0.0002473592,0.0003264041,0.0005043636,0.0004868008,0.0003607506],"category_scores_gemma":[0.0009211851,0.0002476677,0.00034758,0.0001762605,0.0003531867,0.0003564119,0.0002864794,0.0002996035,0.00008617625],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000274613,"about_ca_system_score_gemma":0.0004928762,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004266053,"about_ca_topic_score_gemma":0.003162223,"domain_scores_codex":[0.999855,0.00003124844,0.0000116354,0.00003820382,0.00005024753,0.00001345184],"domain_scores_gemma":[0.9997877,0.00006647254,0.00005044922,0.0000167603,0.00006738958,0.00001124972],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.0001546187,0.00005243697,0.00167157,0.0001244471,0.00006643691,0.0001515422,0.0001996832,0.8404087,0.029288,0.004760015,0.0003598972,0.1227627],"study_design_scores_gemma":[0.000008138287,0.00003798886,0.0002339189,0.000003038864,0.00000541343,0.00001685667,0.000004437848,0.9982834,0.001015019,0.0002429513,0.0001443886,0.000004547068],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.061474,0.0001333726,0.9371025,0.00005408053,0.00001811213,0.00004293535,0.000009091004,0.0001784927,0.0009874541],"genre_scores_gemma":[0.901244,0.00008819354,0.09779999,0.00002754243,0.00001180436,0.00007723832,0.00002246426,0.00001097239,0.0007177832],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004266053,"threshold_uncertainty_score":0.008482456,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2096080444","doi":"10.1134/s1560354711060074","title":"Routh symmetry in the Chaplygin’s rolling ball","year":2011,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Control and Dynamics of Mobile Robots","field":"Engineering","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Institut National de la Recherche Scientifique","funders":"","keywords":"Noether's theorem; Mathematical physics; Symmetry (geometry); Ball (mathematics); Lagrangian; Conservation law; Classical mechanics; Physics; Mathematics; Law; Mathematical analysis; Geometry","authors":[{"name":"Byung‐Soo Kim","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.008266894296740972,"gpt":0.1626869368790877,"spread":0.1544200425823467,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003926284,0.000257324,0.0004183097,0.0005706105,0.0006094967,0.001102909,0.0004134798,0.0004475522,0.002979327],"category_scores_gemma":[0.0009441418,0.0001355916,0.0003241962,0.0002411882,0.002039255,0.001142996,0.0005675639,0.0006322225,0.0004877792],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005418677,"about_ca_system_score_gemma":0.0004721534,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008229284,"about_ca_topic_score_gemma":0.0003632247,"domain_scores_codex":[0.9997422,0.00006764128,0.00001059981,0.00005526104,0.00007904448,0.00004520765],"domain_scores_gemma":[0.9998218,0.00003188146,0.00003778406,0.00003335316,0.0000407445,0.00003445278],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000154004,0.000004712048,0.00007102916,0.000009143268,0.000002040746,0.00006919815,0.00008341121,0.001472359,0.001359816,0.9933586,0.0003288292,0.003225473],"study_design_scores_gemma":[0.00002476911,0.00006353415,0.0004972253,0.00001089039,0.000004298926,0.0002205841,0.000106124,0.0396761,0.002221384,0.9498468,0.007306958,0.00002140593],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5951146,0.001093178,0.2472028,0.001106055,0.0004278542,0.00009460061,0.0001575818,0.0003850971,0.1544182],"genre_scores_gemma":[0.9646923,0.0002558185,0.01726801,0.0001840156,0.0001451781,0.00004120319,0.00006672102,0.00009401028,0.01725295],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002979327,"threshold_uncertainty_score":0.00996685,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2016919634","doi":"10.1134/s1560354710040039","title":"Criteria for existence of a Hamiltonian structure","year":2010,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Queen's University","funders":"","keywords":"Diagonalizable matrix; Hamiltonian (control theory); Mathematics; Hamiltonian system; Pure mathematics; Tensor (intrinsic definition); Mathematical physics; Physics; Eigenvalues and eigenvectors; Quantum mechanics; Mathematical optimization; Symmetric matrix","authors":[{"name":"Oleg I. Bogoyavlenskij","is_ca":true},{"name":"A. P. Reynolds","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.005689193416774989,"gpt":0.2445369322139472,"spread":0.2388477387971722,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001459182,0.0004258659,0.0005674742,0.001687518,0.001626341,0.001499519,0.0006955906,0.001586226,0.008451231],"category_scores_gemma":[0.01006863,0.0004846296,0.0004183761,0.0004662857,0.003245496,0.002256691,0.001908796,0.001314494,0.000948394],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007626165,"about_ca_system_score_gemma":0.001143319,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005045473,"about_ca_topic_score_gemma":0.0005135735,"domain_scores_codex":[0.9988441,0.0002499963,0.0001230355,0.0002274168,0.0003485924,0.0002067629],"domain_scores_gemma":[0.990168,0.004832124,0.001170833,0.0004573519,0.001977023,0.001394686],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001418538,0.00008627632,0.003406367,0.0001712022,0.00002062573,0.0006713974,0.0004441398,0.004898512,0.01219309,0.9700328,0.002382801,0.005550922],"study_design_scores_gemma":[0.0001315281,0.0002134287,0.004262294,0.0001093143,0.00002054287,0.0007919485,0.0007274262,0.05435733,0.01152835,0.9188592,0.008923635,0.00007515425],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6394809,0.0009578641,0.2726059,0.003097941,0.0003368164,0.0003937772,0.001671193,0.0004891372,0.08096652],"genre_scores_gemma":[0.9539236,0.0001955104,0.04091972,0.000196177,0.0001592313,0.0002554305,0.0007744674,0.00007950833,0.003496385],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008451231,"threshold_uncertainty_score":0.02827215,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2094326557","doi":"10.1134/s1560354707060020","title":"Skew critical problems","year":2007,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Skew; Uniqueness; Constraint (computer-aided design); Mathematics; Tangent; A priori and a posteriori; Applied mathematics; Mathematical optimization; Computer science; Mathematical analysis; Geometry","authors":[{"name":"Charles Cuell","is_ca":true},{"name":"George W. Patrick","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04303928197541994,"gpt":0.3602050698815202,"spread":0.3171657879061002,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009295563,0.001029678,0.0007435998,0.001232245,0.001402786,0.00236297,0.0007285779,0.001476765,0.01273524],"category_scores_gemma":[0.003994503,0.0003921965,0.000690655,0.0006110222,0.002485649,0.003709568,0.003691185,0.001760586,0.0009556372],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008469744,"about_ca_system_score_gemma":0.0009638288,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007248034,"about_ca_topic_score_gemma":0.0006655792,"domain_scores_codex":[0.9993716,0.0001387917,0.00004659811,0.0001499054,0.0001830793,0.000110048],"domain_scores_gemma":[0.998577,0.000463105,0.0003005911,0.0001709874,0.0002625696,0.0002256887],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002585141,0.00002585427,0.0007776821,0.00008992138,0.00001406985,0.0002588582,0.0001550768,0.01561513,0.001291758,0.9641566,0.002967366,0.0146218],"study_design_scores_gemma":[0.00002136796,0.00005115886,0.0004992864,0.00005905366,0.000009733958,0.0003881381,0.0002621516,0.08587594,0.001661381,0.892619,0.01853281,0.00001996258],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1338268,0.00195673,0.7504422,0.001929363,0.0005399268,0.0002948617,0.0006078103,0.00022814,0.1101742],"genre_scores_gemma":[0.867511,0.001769984,0.08459499,0.0006197024,0.0006162644,0.0003241011,0.0006488531,0.0003290245,0.04358621],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01273524,"threshold_uncertainty_score":0.04260367,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2053726377","doi":"10.1134/s1560354713010012","title":"On the dynamic Markov-Dubins problem: From path planning in robotics and biolocomotion to computational anatomy","year":2013,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro; Mitacs","keywords":"Geodesic; Bounded function; Mathematics; Robotics; Computer science; Mathematical optimization; Artificial intelligence; Mathematical analysis; Robot","authors":[{"name":"Alex L. Castro","is_ca":false},{"name":"Jair Koiller","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0132472608542924,"gpt":0.2620904329470417,"spread":0.2488431720927493,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001830721,0.001136124,0.001193297,0.001532482,0.001124174,0.001924725,0.001103463,0.001818453,0.002852335],"category_scores_gemma":[0.006773994,0.0006576568,0.001040713,0.001707207,0.004837697,0.003840358,0.00296906,0.002838232,0.000442477],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001996871,"about_ca_system_score_gemma":0.001464636,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005211076,"about_ca_topic_score_gemma":0.002547478,"domain_scores_codex":[0.9991215,0.000376347,0.00004058292,0.0002020283,0.0001914574,0.00006817835],"domain_scores_gemma":[0.9965103,0.002681388,0.0002613454,0.0001552969,0.0002032543,0.0001883467],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003365583,0.00001755586,0.000370918,0.0001169852,0.0000251417,0.00007216617,0.0001365734,0.1642129,0.0003042493,0.8083231,0.003779005,0.02260769],"study_design_scores_gemma":[0.00001194268,0.00002107029,0.0001651332,0.0000395922,0.000006061258,0.00004176293,0.00003870618,0.2282571,0.0001579882,0.7651492,0.00609018,0.00002125178],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01515419,0.007267691,0.9599605,0.005431823,0.0002727811,0.00004358322,0.0001873662,0.00009117943,0.01159092],"genre_scores_gemma":[0.5313123,0.02098623,0.4236048,0.00110496,0.001969182,0.0003968718,0.0008634357,0.0003166717,0.01944548],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005211076,"threshold_uncertainty_score":0.0144884,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2004481339","doi":"10.1134/s1560354712010042","title":"On the topology of the double spherical pendulum","year":2012,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Control and Stability of Dynamical Systems","field":"Engineering","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Double pendulum; Topology (electrical circuits); Pendulum; Constant (computer programming); Mathematics; Physics; Classical mechanics; Computer science; Inverted pendulum; Combinatorics","authors":[{"name":"Shengda Hu","is_ca":true},{"name":"Eduardo S. G. Leandro","is_ca":false},{"name":"Manuele Santoprete","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.006146741199759728,"gpt":0.1807694748409552,"spread":0.1746227336411955,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002612125,0.0003134598,0.0003252898,0.001348915,0.0007314333,0.001533105,0.0003853223,0.0004359124,0.003561067],"category_scores_gemma":[0.001093735,0.0001369554,0.0002588271,0.0004898006,0.001497959,0.001580857,0.0009926884,0.0005030986,0.0003123102],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003679996,"about_ca_system_score_gemma":0.0001874977,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000768182,"about_ca_topic_score_gemma":0.0002707687,"domain_scores_codex":[0.9998733,0.0000316421,0.000004783187,0.0000209511,0.0000424061,0.00002688177],"domain_scores_gemma":[0.9997476,0.000072899,0.00004150908,0.00002035617,0.00005515635,0.00006246297],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005359348,0.00001236272,0.0003400679,0.0000515406,0.000007192,0.0002631584,0.0002846349,0.0117442,0.004798747,0.9721034,0.0007709271,0.009570075],"study_design_scores_gemma":[0.00002359482,0.00009663752,0.001309034,0.00003717995,0.000008244891,0.0003995651,0.0005915046,0.08366494,0.001904907,0.9042511,0.007682681,0.00003064097],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8621449,0.001559048,0.05777049,0.001146782,0.0001888658,0.00002602023,0.000127612,0.0001026309,0.07693367],"genre_scores_gemma":[0.994366,0.0004497992,0.002163578,0.00004155349,0.00005449579,0.000008278148,0.00005410461,0.00001949444,0.002842606],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003561067,"threshold_uncertainty_score":0.011913,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2477796049","doi":"10.1134/s1560354716030047","title":"The dynamics of a meandering coastal jet in the lee of a cape","year":2016,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Oceanographic and Atmospheric Processes","field":"Earth and Planetary Sciences","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; Agence Nationale de la Recherche","keywords":"Barotropic fluid; Geology; Instability; Jet (fluid); Meander (mathematics); Rossby wave; Vorticity; Potential vorticity; Cape; Physics; Vortex; Climatology; Mechanics; Meteorology; Geometry; Geography","authors":[{"name":"Rui Policarpo Duarte","is_ca":false},{"name":"Xavier Carton","is_ca":false},{"name":"Francis Poulin","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.005053585362980576,"gpt":0.173328235939933,"spread":0.1682746505769525,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002083846,0.0004274491,0.0004258018,0.0003733524,0.0007083272,0.001367112,0.0007018596,0.0009465466,0.001702809],"category_scores_gemma":[0.001209779,0.0003397948,0.0004944109,0.0002555906,0.001100748,0.00084266,0.0005844485,0.0007286449,0.00008883847],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00119731,"about_ca_system_score_gemma":0.0008847307,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.05052738,"about_ca_topic_score_gemma":0.02062324,"domain_scores_codex":[0.9999423,0.00001685665,0.000002623782,0.000009668291,0.000009025555,0.00001943193],"domain_scores_gemma":[0.9996526,0.0001163881,0.00007592852,0.00001504077,0.00004232343,0.00009770544],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"observational","study_design_scores_codex":[0.0001412458,0.00005243729,0.008640845,0.00002871883,0.00003780098,0.0008567128,0.000128905,0.9705381,0.005157443,0.01281194,0.0003795845,0.001226216],"study_design_scores_gemma":[0.00003574638,0.00004175077,0.001414577,0.000004687487,0.000008366965,0.00002625752,0.00005800783,0.9972096,0.0001703908,0.0008725119,0.0001490726,0.000008975261],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9849252,0.0001032181,0.007625514,0.0003138086,0.00003515953,0.00002086056,0.00009197967,0.00005045567,0.006833883],"genre_scores_gemma":[0.9965262,0.00006653892,0.001451963,0.00002488812,0.00001042475,0.00001034216,0.00003612346,0.00001274046,0.001860784],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05052738,"threshold_uncertainty_score":0.1004666,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2046219024","doi":"10.1134/s1560354707060093","title":"An affine model for the actions in an integrable system with monodromy","year":2007,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Monodromy; Affine transformation; Integrable system; Mathematics; Pure mathematics; Affine representation; Action (physics); Monodromy matrix; Algebra over a field; Physics; Affine Lie algebra; Quantum mechanics; Current algebra","authors":[{"name":"L. Bates","is_ca":true},{"name":"Francesco Fassò","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02806763819488683,"gpt":0.3057730493572554,"spread":0.2777054111623686,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002435308,0.0005411792,0.0004870546,0.0008533453,0.0009304938,0.001358556,0.0007751162,0.0007790843,0.00408759],"category_scores_gemma":[0.0003422328,0.000206074,0.0005240801,0.0003588953,0.001668759,0.001303205,0.001006724,0.0007674788,0.000579308],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001000147,"about_ca_system_score_gemma":0.0005057993,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001853292,"about_ca_topic_score_gemma":0.001415312,"domain_scores_codex":[0.9998145,0.00003685147,0.000009312786,0.00003270644,0.00006427262,0.00004250325],"domain_scores_gemma":[0.9998399,0.00001440101,0.00003154048,0.00002407351,0.0000272624,0.00006268286],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001439586,0.00001528426,0.0002009591,0.00001340322,0.000003821746,0.000260716,0.0001011532,0.00428198,0.002970776,0.9909196,0.0003388033,0.0008791799],"study_design_scores_gemma":[0.00005472502,0.0001192452,0.0009202547,0.0000170995,0.00001202151,0.0004352555,0.0002027772,0.07830168,0.00154802,0.9145048,0.003854269,0.00002974789],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7846449,0.0006331828,0.1217516,0.001883959,0.0002044232,0.0001358826,0.000350826,0.0003512562,0.09004402],"genre_scores_gemma":[0.9831019,0.0002023849,0.007179823,0.0001205477,0.0001158365,0.00004131943,0.0001101181,0.00003498717,0.009092976],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00408759,"threshold_uncertainty_score":0.01367438,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2081832744","doi":"10.1134/s1560354707060044","title":"Non-holonomic reduction of symmetries, constraints, and integrability","year":2007,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Control and Dynamics of Mobile Robots","field":"Engineering","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Holonomic; Homogeneous space; Reduction (mathematics); Holonomic constraints; Mathematics; Hamiltonian (control theory); Hamiltonian system; Algebra over a field; Pure mathematics; Computer science; Physics; Mathematical physics; Classical mechanics; Mathematical optimization; Geometry; Artificial intelligence","authors":[{"name":"Jędrzej Śniatycki","is_ca":true},{"name":"Richard Cushman","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.003132533881162552,"gpt":0.1849262589469896,"spread":0.181793725065827,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002366276,0.0002619554,0.0003453467,0.0003856393,0.00048905,0.0006939744,0.0005070966,0.0002893627,0.002985858],"category_scores_gemma":[0.0005005724,0.0001378632,0.000520298,0.0002017713,0.001878687,0.000938918,0.0009979944,0.0008590987,0.0001849931],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000353626,"about_ca_system_score_gemma":0.0003021332,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006458086,"about_ca_topic_score_gemma":0.0005992734,"domain_scores_codex":[0.9997854,0.00004612511,0.00001605764,0.00003014666,0.00009473118,0.00002748888],"domain_scores_gemma":[0.9998761,0.00003514161,0.0000236952,0.0000286304,0.00001811686,0.00001823373],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000005907778,0.00001398999,0.00007511263,0.00004471274,0.000005150733,0.0001315412,0.0001383848,0.00388163,0.001944413,0.9883696,0.0003695291,0.005020108],"study_design_scores_gemma":[0.000006815979,0.0000309775,0.0002299666,0.00001217928,0.000003543111,0.0001794066,0.0001044262,0.01876445,0.001172956,0.9740058,0.005477379,0.00001213409],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.2847601,0.003479733,0.5458115,0.001880953,0.0005385059,0.000157459,0.0002718938,0.0003327744,0.1627671],"genre_scores_gemma":[0.9480101,0.001210717,0.03423086,0.0002008576,0.0002365142,0.00006956854,0.000139346,0.00009565721,0.01580622],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.002985858,"threshold_uncertainty_score":0.009988725,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4413210671","doi":"10.1134/s1560354725040057","title":"Singular KAM Theory for Convex Hamiltonian Systems","year":2025,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Kolmogorov–Arnold–Moser theorem; Hamiltonian system; Regular polygon; Mathematics; Hamiltonian (control theory); Mathematical analysis; Geometry; Mathematical optimization","authors":[{"name":"Santiago Barbieri","is_ca":false},{"name":"Luca Biasco","is_ca":false},{"name":"Luigi Chierchia","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.003735699675933222,"gpt":0.222030137535497,"spread":0.2182944378595637,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000368822,0.000390758,0.0004524627,0.0008488517,0.0006140074,0.0008551201,0.0005705957,0.0004278353,0.003888274],"category_scores_gemma":[0.0006937347,0.0001785263,0.0004927234,0.0003153043,0.001837277,0.001477119,0.001174918,0.0009883821,0.0004080338],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006309433,"about_ca_system_score_gemma":0.000318584,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005827759,"about_ca_topic_score_gemma":0.0003804731,"domain_scores_codex":[0.9998021,0.0000508145,0.00000906905,0.00002629277,0.00007749617,0.00003432754],"domain_scores_gemma":[0.9997849,0.00007064994,0.00002654064,0.00003272513,0.00004172336,0.0000434826],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000004053219,0.000003256996,0.00003324119,0.00001230411,0.000002900924,0.00004874582,0.00005131923,0.00386591,0.000731247,0.9941229,0.000229023,0.0008951628],"study_design_scores_gemma":[0.000004067111,0.0000149151,0.0001186559,0.00001062143,0.000003290849,0.00007078432,0.00006220199,0.07422931,0.0003747227,0.923377,0.001725289,0.000009181814],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3699066,0.001845336,0.4614417,0.00190015,0.0002787447,0.00005061718,0.0001861116,0.0002868889,0.1641038],"genre_scores_gemma":[0.9675634,0.0006782912,0.01808077,0.0002572353,0.0001870283,0.0000320305,0.00009037019,0.00006059148,0.01305025],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003888274,"threshold_uncertainty_score":0.01300758,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2079039028","doi":"10.1134/s1560354710520011","title":"Applications of the odd symplectic group in Hamiltonian systems","year":2010,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Symplectic geometry; Symplectomorphism; Symplectic group; Geodesic; Mathematics; Moment map; Symplectic matrix; Symplectic vector space; Geodesic flow; Conjugacy class; Symplectic representation; Pure mathematics; Hamiltonian system; Unipotent; Hamiltonian (control theory); Mathematical analysis","authors":[{"name":"Richard Cushman","is_ca":true},{"name":"Larry Bates","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.00216245706805019,"gpt":0.1904002009368249,"spread":0.1882377438687748,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003771867,0.0004210837,0.0003400691,0.0006907873,0.000782054,0.0007559424,0.0003451055,0.0005170514,0.002767693],"category_scores_gemma":[0.001029046,0.0001631688,0.0004349384,0.0003133863,0.002201272,0.001268013,0.001907579,0.0005924637,0.0001865608],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004302849,"about_ca_system_score_gemma":0.0003501122,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004001783,"about_ca_topic_score_gemma":0.0003561424,"domain_scores_codex":[0.999786,0.00009782123,0.00000974123,0.00002559535,0.00005661723,0.00002422425],"domain_scores_gemma":[0.9996582,0.0001708898,0.0000365655,0.00005097502,0.00003717601,0.00004617091],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001649379,0.00001213092,0.0003562653,0.0000814978,0.000007109093,0.0002560316,0.0003644416,0.004494539,0.002013255,0.9823081,0.0004628093,0.009627307],"study_design_scores_gemma":[0.00001120371,0.00003433435,0.0001895485,0.00002109486,0.00000506607,0.0002069081,0.0001294657,0.01765857,0.0006378832,0.9704064,0.01069009,0.000009451243],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3865067,0.01234242,0.4164035,0.007390934,0.001739968,0.00009444416,0.00008296903,0.0002485256,0.1751905],"genre_scores_gemma":[0.9399368,0.003677094,0.04787714,0.0003427234,0.0007137195,0.00004351068,0.00002884057,0.00005090598,0.007329241],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002767693,"threshold_uncertainty_score":0.009258807,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4417489918","doi":"10.1134/s1560354725540044","title":"On the Analytic Properties of the Perturbing Function in the PCR3Body Problem","year":2025,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Eccentricity (behavior); Fourier series; Measure (data warehouse); Function (biology); Fourier transform; Space (punctuation); Coprime integers; Phase space","authors":[{"name":"Corrado Falcolini","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02470393552645485,"gpt":0.2407045403254796,"spread":0.2160006047990247,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001008897,0.0008672671,0.0005599681,0.001304764,0.0006557951,0.001049584,0.0008513603,0.0009088036,0.006961016],"category_scores_gemma":[0.005221716,0.0002297594,0.000674364,0.0005142838,0.00222323,0.001850385,0.00142717,0.001621214,0.001046994],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006694946,"about_ca_system_score_gemma":0.0004762091,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001007131,"about_ca_topic_score_gemma":0.0004585272,"domain_scores_codex":[0.9997005,0.0001168028,0.000007725288,0.00003218781,0.00009101446,0.00005172048],"domain_scores_gemma":[0.9987873,0.0006322751,0.0001490941,0.00009365733,0.0001703137,0.0001673526],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000801719,0.00003064156,0.0005488932,0.0001375136,0.00001552144,0.0003107502,0.0002728863,0.04189568,0.007014847,0.9393629,0.00189881,0.008431418],"study_design_scores_gemma":[0.00002558591,0.00005835275,0.0009587508,0.00006500303,0.00001486416,0.0003507953,0.0002061494,0.5774844,0.00295512,0.413378,0.004458754,0.000044271],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3116594,0.001049937,0.5710234,0.002058116,0.0002669143,0.0001130553,0.0002073701,0.0004296776,0.1131922],"genre_scores_gemma":[0.9142473,0.001022783,0.05761096,0.0004675919,0.0002261148,0.0001582055,0.0002353084,0.0005235545,0.02550812],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006961016,"threshold_uncertainty_score":0.02328694,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2565883893","doi":"10.1134/s1560354716060046","title":"A generalization of Nekhoroshev’s theorem","year":2016,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Generalization; Noncommutative geometry; Hamiltonian system; Integrable system; Pure mathematics; Abelian group; Hamiltonian (control theory); Mathematical analysis","authors":[{"name":"Larry Bates","is_ca":true},{"name":"Richard Cushman","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.003713483012173801,"gpt":0.1955020492556512,"spread":0.1917885662434774,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009454492,0.0003173962,0.0004706947,0.0008635325,0.001225294,0.0008703873,0.0009967592,0.000754726,0.00422883],"category_scores_gemma":[0.001869802,0.0001556417,0.0007024354,0.0004569534,0.002710949,0.002923827,0.001471145,0.001662015,0.0006031276],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001165835,"about_ca_system_score_gemma":0.0008050438,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001407137,"about_ca_topic_score_gemma":0.0008021046,"domain_scores_codex":[0.9994887,0.00008724014,0.0000295742,0.0001696197,0.0001504455,0.00007440315],"domain_scores_gemma":[0.999481,0.0001592187,0.0000509312,0.0001304993,0.0001292938,0.00004915572],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000005200397,0.000008305552,0.00009194297,0.00001861666,0.000003666047,0.00005001408,0.00009964243,0.0007429589,0.000511901,0.9925919,0.001318107,0.004557745],"study_design_scores_gemma":[0.000006684329,0.00001251043,0.0002764495,0.000009940037,0.000002283909,0.0001445989,0.00002176969,0.003995785,0.0002770241,0.9821092,0.01313381,0.00001003341],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1433932,0.004185351,0.4712432,0.009241079,0.002740621,0.0001273137,0.000508698,0.0003236761,0.3682369],"genre_scores_gemma":[0.9110494,0.002120801,0.04219959,0.002209134,0.00172961,0.0001078817,0.0002150105,0.00008720419,0.04028137],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00422883,"threshold_uncertainty_score":0.01414686,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4230372370","doi":"10.1134/s1560354710510015","title":"Criteria for existence of a Hamiltonian structure","year":2010,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Queen's University","funders":"","keywords":"Diagonalizable matrix; Hamiltonian (control theory); Mathematics; Pure mathematics; Hamiltonian system; Tensor (intrinsic definition); Mathematical physics; Physics; Eigenvalues and eigenvectors; Quantum mechanics; Mathematical optimization; Symmetric matrix","authors":[{"name":"Oleg I. Bogoyavlenskij","is_ca":true},{"name":"A. P. Reynolds","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03286120194394611,"gpt":0.3347642041475158,"spread":0.3019030022035697,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001270634,0.0004272625,0.0005668649,0.001522416,0.001533521,0.001358765,0.0006567987,0.001435318,0.008038163],"category_scores_gemma":[0.008687025,0.0004450035,0.0004086075,0.0004107125,0.002987742,0.002023294,0.001877279,0.001229747,0.0008454089],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000651975,"about_ca_system_score_gemma":0.001036125,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004559572,"about_ca_topic_score_gemma":0.0004475108,"domain_scores_codex":[0.9990284,0.0001997739,0.00009948354,0.0001913974,0.0002997892,0.0001812182],"domain_scores_gemma":[0.9920881,0.003587051,0.001068977,0.0003625978,0.001597095,0.001296147],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001668996,0.0001078154,0.003872654,0.0001939392,0.00002378227,0.0008262867,0.0004859356,0.006346371,0.01625148,0.9626166,0.002541025,0.006567107],"study_design_scores_gemma":[0.0001455314,0.0002868012,0.005059057,0.0001261609,0.0000243625,0.0009249106,0.0008827747,0.07941426,0.01486774,0.8890476,0.009130887,0.00008995838],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6612777,0.0008167163,0.2651491,0.002423292,0.0003241264,0.0003516112,0.001360881,0.0004519811,0.06784458],"genre_scores_gemma":[0.9600596,0.000186908,0.03512043,0.0001515455,0.0001433423,0.0002223549,0.0006103556,0.00007592711,0.003429527],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008038163,"threshold_uncertainty_score":0.02689034,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4415062443","doi":"10.1134/s1560354725050028","title":"Sonya Kowalewski’s Legacy to Mechanics and Complex Lie Algebras","year":2025,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Orthonormal basis; Quadratic equation; Invariant (physics); Polytope; Lie algebra; Hamiltonian (control theory); Type (biology); Hyperboloid; Embedding; Unit sphere","authors":[{"name":"Velimir Jurdjevic","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01859652625541978,"gpt":0.2875326486206076,"spread":0.2689361223651878,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009167683,0.0006253982,0.0005428567,0.0011672,0.001710744,0.002260258,0.0006235223,0.001199602,0.005548728],"category_scores_gemma":[0.001842064,0.0002852464,0.0004175308,0.001079617,0.006443479,0.006440146,0.00256565,0.004445648,0.002142726],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00163271,"about_ca_system_score_gemma":0.001387704,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001321725,"about_ca_topic_score_gemma":0.001011456,"domain_scores_codex":[0.9995185,0.0001300978,0.00002869469,0.0001159742,0.0001626977,0.00004406136],"domain_scores_gemma":[0.9994887,0.0002203225,0.00004393107,0.00009084577,0.00008803698,0.00006806008],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000004435545,0.00000857572,0.00006766181,0.00002863651,0.000003651657,0.00003385636,0.0002116672,0.0001353983,0.0001714815,0.9822971,0.01199711,0.005040447],"study_design_scores_gemma":[0.000003597123,0.000007675158,0.0001212461,0.00005467873,0.000002410151,0.00009644178,0.00006992368,0.0004640576,0.0001071256,0.8307447,0.1683178,0.00001024854],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.03969459,0.1548136,0.157956,0.1590519,0.01934127,0.0000464288,0.0009312988,0.0006166411,0.4675482],"genre_scores_gemma":[0.5981674,0.1176626,0.05102424,0.03194585,0.02678973,0.0001967527,0.0005587171,0.0007655807,0.1728892],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005548728,"threshold_uncertainty_score":0.01856232,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3111773119","doi":"10.1134/s1560354720060040","title":"Autotransforms for Some Differential Equations and Their Physical Applications","year":2020,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Queen's University","funders":"","keywords":"Differential equation; Mathematics; Helmholtz equation; Mathematical analysis; Exact differential equation; Rotational symmetry; First-order partial differential equation; Linear differential equation; Integrating factor; Differential algebraic equation; Ordinary differential equation; Geometry; Boundary value problem","authors":[{"name":"Oleg I. Bogoyavlenskij","is_ca":true},{"name":"Yuyang Peng","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04146198342065424,"gpt":0.3088568733984277,"spread":0.2673948899777734,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009742592,0.0005161222,0.0003808204,0.001294218,0.0005298331,0.0009505008,0.0004487451,0.0006824541,0.003897286],"category_scores_gemma":[0.002021778,0.0002345637,0.000791188,0.0009986146,0.001586662,0.001765918,0.001041472,0.001624176,0.0006212128],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005861416,"about_ca_system_score_gemma":0.0002815934,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003557023,"about_ca_topic_score_gemma":0.0002963572,"domain_scores_codex":[0.9996279,0.0001336992,0.00002959832,0.00005734535,0.0001185596,0.00003288873],"domain_scores_gemma":[0.9993285,0.0003089235,0.0001079835,0.00008717543,0.0001178795,0.00004959949],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00000573705,0.000009433051,0.000117434,0.00003897928,0.000005473893,0.00008429447,0.0001331891,0.001981733,0.001708608,0.9867147,0.0004915447,0.008708822],"study_design_scores_gemma":[0.000007318547,0.00003364066,0.0003059043,0.00003070604,0.000007459241,0.0005121775,0.00008553689,0.06909946,0.001409327,0.9184862,0.01000488,0.0000173537],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09578513,0.00772981,0.8456004,0.001366536,0.0005988666,0.0000623936,0.0001964511,0.0003223461,0.04833809],"genre_scores_gemma":[0.7837694,0.008297397,0.1788318,0.0005272541,0.001058871,0.0001762869,0.0002641355,0.0002474916,0.02682751],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003897286,"threshold_uncertainty_score":0.01303768,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2753713242","doi":"10.1134/s1560354718020053","title":"Suslov Problem with the Clebsch–Tisserand Potential","year":2018,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Control and Dynamics of Mobile Robots","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Flow (mathematics); Topology (electrical circuits); Nonholonomic system; Calculus (dental); Domain (mathematical analysis)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.001294495073373561,"gpt":0.1488705466459375,"spread":0.1475760515725639,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006553665,0.0003764934,0.000705578,0.0009251082,0.001675095,0.001326339,0.0007869836,0.001670767,0.002722634],"category_scores_gemma":[0.001345751,0.000223355,0.0004830486,0.0003572985,0.002626607,0.002763786,0.00154551,0.0008486608,0.0002052467],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001092199,"about_ca_system_score_gemma":0.0008767901,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001351983,"about_ca_topic_score_gemma":0.0007738589,"domain_scores_codex":[0.9997118,0.00007254298,0.00001570365,0.00004475082,0.00008638205,0.00006876168],"domain_scores_gemma":[0.9996673,0.00008850725,0.000081315,0.00003332003,0.00004116562,0.00008854161],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001898984,0.00001094254,0.0002111811,0.00002260716,0.000007097529,0.0001445071,0.00007602235,0.009249185,0.0009467065,0.9876869,0.0002718581,0.001354062],"study_design_scores_gemma":[0.00003506387,0.00004312781,0.0005162986,0.00001907426,0.000005411046,0.0002309281,0.0001874445,0.101691,0.0006636943,0.8950356,0.001551034,0.00002140955],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7589095,0.001375726,0.1672195,0.003210565,0.0001966303,0.00006554522,0.0001155039,0.0001197449,0.06878737],"genre_scores_gemma":[0.9861233,0.0002228177,0.008835522,0.00009999295,0.00006175227,0.00003157287,0.00003340594,0.00001639825,0.004575255],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002722634,"threshold_uncertainty_score":0.009108067,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}