{"id":"W2335515601","doi":"10.1115/imece2003-55486","title":"Numerical Determination of the Moment Lyapunov Exponents","year":2003,"lang":"en","type":"article","venue":"","topic":"Chaos control and synchronization","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Lyapunov exponent; Mathematics; Mathematical analysis; Eigenvalues and eigenvectors; Eigenfunction; Moment (physics); Numerical analysis; Noise (video); Second moment of area; Applied mathematics; Numerical integration; Stochastic differential equation; Bounded function; Nonlinear system; Physics; Classical mechanics; Geometry; Computer science","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00125816,0.0003887046,0.0005772078,0.00108336,0.0005984805,0.0006160637,0.0008532534,0.0007139504,0.002688388],"category_scores_gemma":[0.00769425,0.0002516746,0.0002964734,0.0005316376,0.0007009483,0.0009259573,0.0008270816,0.0009027506,0.0005664933],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004677695,"about_ca_system_score_gemma":0.0007396667,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000663611,"about_ca_topic_score_gemma":0.0007065338,"domain_scores_codex":[0.9995934,0.0001070284,0.00003366346,0.00004240641,0.0001926529,0.00003072465],"domain_scores_gemma":[0.9977885,0.00108811,0.0002211297,0.0003934691,0.0004149589,0.00009372192],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002283833,0.0001025845,0.001789617,0.0003907115,0.00005956726,0.0002355574,0.0003999621,0.5982729,0.05580927,0.2232349,0.001600285,0.1178763],"study_design_scores_gemma":[0.00001532932,0.00001496238,0.0001514604,0.00001172676,0.000002919846,0.00003981807,0.00001299125,0.9845582,0.005016148,0.009098868,0.001064559,0.00001299643],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03400141,0.0001640823,0.9596979,0.000136536,0.00006769067,0.0000902214,0.0000824946,0.0005730352,0.005186684],"genre_scores_gemma":[0.4239487,0.0001639269,0.5729681,0.00003117919,0.00003358,0.0004147043,0.0001194343,0.0001493863,0.002171039],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002688388,"threshold_uncertainty_score":0.008993506,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006208407891589653,"score_gpt":0.2112733376243454,"score_spread":0.2050649297327557,"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."}}