{"id":"W4386373872","doi":"10.1088/1361-6544/acecf5","title":"Convex computation of maximal Lyapunov exponents","year":2023,"lang":"en","type":"article","venue":"Nonlinearity","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Infimum and supremum; Lyapunov exponent; Upper and lower bounds; Ode; Polynomial; Applied mathematics; Discrete mathematics; Lyapunov function; Combinatorics; Mathematical analysis; Chaotic; Nonlinear system","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000172311,0.00007518999,0.0001980969,0.00005993843,0.00004699045,0.000008529714,0.00007125416,0.00006173069,0.00003178369],"category_scores_gemma":[0.0002110032,0.00006751392,0.0000606444,0.0002484616,0.00003480823,0.000054063,0.00004909224,0.0000728602,0.00006732236],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000178653,"about_ca_system_score_gemma":0.00001575144,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003940567,"about_ca_topic_score_gemma":0.00001805381,"domain_scores_codex":[0.9991854,0.00004160316,0.000300809,0.0001256091,0.0002154557,0.000131081],"domain_scores_gemma":[0.9994355,0.0001803942,0.0001162493,0.0001317309,0.00009296145,0.00004315861],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0005424813,0.005079117,0.07701658,0.003781755,0.0005221178,0.00006656624,0.004195351,0.006379086,0.06167446,0.6763582,0.004639671,0.1597446],"study_design_scores_gemma":[0.001083739,0.00008575787,0.02918205,0.00008534553,0.00003157056,0.000002629449,0.000202648,0.6256142,0.00104774,0.3421787,0.0002637703,0.0002218565],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7760894,0.00000490609,0.2229355,0.00004476176,0.0001588375,0.0001485676,0.00003776987,0.0001249195,0.0004553858],"genre_scores_gemma":[0.9845018,0.00000211719,0.01510499,0.000007623667,0.00006320563,0.000007274976,0.00007536146,0.00001154722,0.0002260106],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6192351,"threshold_uncertainty_score":0.2753138,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1122613433194183,"score_gpt":0.3869765996923422,"score_spread":0.2747152563729239,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}