{"id":"W2015212159","doi":"10.1007/s11071-009-9535-7","title":"On stability analysis via Lyapunov exponents calculated from a time series using nonlinear mapping—a case study","year":2009,"lang":"en","type":"article","venue":"Nonlinear Dynamics","topic":"Chaos control and synchronization","field":"Physics and Astronomy","cited_by":42,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Lyapunov exponent; Mathematics; Nonlinear system; Series (stratigraphy); Lyapunov function; Control theory (sociology); Lyapunov equation; Spurious relationship; Stability (learning theory); Applied mathematics; Mathematical analysis; Computer science; Physics; Statistics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008724869,0.0006297271,0.0004846125,0.001298493,0.0005859916,0.0009353836,0.0006343034,0.0007815593,0.001284712],"category_scores_gemma":[0.003838548,0.0001705035,0.0005565754,0.0006407028,0.0008568942,0.001400161,0.0006498695,0.0005630726,0.0002025687],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004017734,"about_ca_system_score_gemma":0.0001666625,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005657176,"about_ca_topic_score_gemma":0.0004030548,"domain_scores_codex":[0.9997688,0.0000894991,0.00001497694,0.00003381046,0.00007219423,0.00002071382],"domain_scores_gemma":[0.9982096,0.001407378,0.0001029555,0.00008979178,0.0001679119,0.00002239833],"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":[0.0002552705,0.0001938464,0.003416965,0.0002991512,0.0001070008,0.002388485,0.0009071332,0.578434,0.05290767,0.27805,0.001195455,0.08184515],"study_design_scores_gemma":[0.000004031514,0.00007437906,0.0006189805,0.00001430611,0.00001827433,0.0002353516,0.00008146551,0.9661372,0.004805294,0.02714675,0.0008427802,0.00002121322],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3435049,0.0009099853,0.6421874,0.000258085,0.0000654012,0.00006838539,0.00004987338,0.0001442744,0.01281161],"genre_scores_gemma":[0.9664437,0.0004344111,0.03008722,0.00001271725,0.00004497994,0.00002720868,0.00002730064,0.0000576355,0.002864864],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.001298493,"threshold_uncertainty_score":0.004614234,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01224008008464209,"score_gpt":0.2497017360311202,"score_spread":0.2374616559464781,"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."}}