{"id":"W2592753095","doi":"10.48550/arxiv.1702.08524","title":"Local Synchronization of Sampled-Data Systems on Lie Groups","year":2017,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Nonlinear Dynamics and Pattern Formation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Lie group; Cartesian product; Mathematics; Nonlinear system; Pure mathematics; Graph; Synchronization (alternating current); Kinematics; Commutative property; Cartesian coordinate system; Lie algebra; Topology (electrical circuits); Discrete mathematics; Combinatorics; Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004163849,0.0003938578,0.0004436012,0.0003192918,0.0002545951,0.0005367527,0.0006607409,0.0003698977,0.0008679041],"category_scores_gemma":[0.00167403,0.0001487438,0.0002666166,0.0002601299,0.001048369,0.0007587752,0.001165496,0.0004375477,0.0001505838],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004216207,"about_ca_system_score_gemma":0.0003280125,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001422046,"about_ca_topic_score_gemma":0.0008733136,"domain_scores_codex":[0.9996945,0.00007946425,0.0000152814,0.00008507646,0.00009623863,0.0000294453],"domain_scores_gemma":[0.9993967,0.0002140094,0.0001522895,0.00007181871,0.0001149052,0.00005036326],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001594495,0.00004494899,0.001166756,0.00009235009,0.00005919855,0.0003430998,0.0005002985,0.7869109,0.02811731,0.1555315,0.0005877207,0.02648643],"study_design_scores_gemma":[0.00001057635,0.00006497998,0.0001061757,0.000002769819,0.000004441757,0.00001725943,0.00002338186,0.9800015,0.001705379,0.01759511,0.0004632305,0.000005233893],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1664104,0.00009648729,0.8306343,0.0001389885,0.00004251179,0.00002838391,0.00002429416,0.0001851455,0.002439556],"genre_scores_gemma":[0.9799771,0.00006019599,0.01842717,0.0000244637,0.00001875434,0.00003779633,0.00002256926,0.00001664672,0.001415183],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.001422046,"threshold_uncertainty_score":0.00305903,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1059725148379442,"score_gpt":0.2093090318031758,"score_spread":0.1033365169652316,"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."}}