{"id":"W2022683687","doi":"10.1063/1.3579597","title":"Lagrangian coherent structures and the smallest finite-time Lyapunov exponent","year":2011,"lang":"en","type":"article","venue":"Chaos An Interdisciplinary Journal of Nonlinear Science","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":134,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Lyapunov exponent; Trajectory; Interval (graph theory); Lagrangian; Field (mathematics); Mathematics; Exponent; Vector field; Mathematical analysis; Point (geometry); Pure mathematics; Physics; Geometry; Combinatorics; Nonlinear system; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":false,"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":[0.000931485,0.0001792041,0.0003223614,0.0001216821,0.0005016002,0.0001403951,0.0007508344,0.000029887,0.0004744676],"category_scores_gemma":[0.0000135328,0.00009636472,0.0001519879,0.0002134338,0.001098086,0.0003516526,0.0004687914,0.0002628551,0.00001582841],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002304863,"about_ca_system_score_gemma":0.00009282621,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006020395,"about_ca_topic_score_gemma":0.000006566441,"domain_scores_codex":[0.9985151,0.00007961443,0.0005149964,0.0002322997,0.0003672002,0.0002907714],"domain_scores_gemma":[0.9987642,0.0000927105,0.0004020707,0.0002714611,0.0002041937,0.0002653419],"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":[0.009406029,0.005692902,0.1160027,0.0002603886,0.001335198,0.0004773022,0.2401763,0.002012171,0.05505932,0.3913561,0.001520438,0.1767011],"study_design_scores_gemma":[0.01498388,0.006242021,0.1539453,0.001178913,0.000421069,0.0009300288,0.04763116,0.5069662,0.007340897,0.2567859,0.001175773,0.002398763],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9938627,0.000102234,0.00288796,0.000306832,0.0004236335,0.00015866,0.00001903757,0.000007172579,0.002231778],"genre_scores_gemma":[0.9978482,0.000003427512,0.001499481,0.00002729024,0.0005140917,0.000003038547,0.000002384092,0.00001105695,0.0000910516],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.504954,"threshold_uncertainty_score":0.5195088,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01993159842496793,"score_gpt":0.2792093824228387,"score_spread":0.2592777839978707,"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."}}