{"id":"W2043227512","doi":"10.1115/imece2009-10619","title":"Periodicity and Nonlinearity of Nonlinear Dynamical Systems Under Periodic Excitation","year":2009,"lang":"en","type":"article","venue":"","topic":"Chaos control and synchronization","field":"Physics and Astronomy","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina","funders":"","keywords":"Quasiperiodic function; Lyapunov exponent; Nonlinear system; Chaotic; Nonlinear dynamical systems; Statistical physics; Excitation; Mathematics; Work (physics); Chaotic systems; Control theory (sociology); Physics; Mathematical analysis; Computer science; Quantum mechanics; Artificial intelligence","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":[0.00007324254,0.00008403463,0.0001653383,0.00003203457,0.00006649359,0.00004433325,0.00003998678,0.00003310181,0.00009522331],"category_scores_gemma":[0.000003738501,0.00007130575,0.00003784011,0.00007180544,0.00004565125,0.0000941058,0.00001022766,0.00006278988,0.000004167846],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001248387,"about_ca_system_score_gemma":0.00003409665,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002559026,"about_ca_topic_score_gemma":0.000007973033,"domain_scores_codex":[0.9994388,0.00002665111,0.0001938323,0.0001345405,0.0001045685,0.0001016579],"domain_scores_gemma":[0.9996946,0.00002176935,0.00006194302,0.00009463046,0.00008018496,0.00004682946],"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":[0.0001673747,0.00139164,0.2571622,0.0001356101,0.0001858831,0.000001972953,0.002005308,0.00517163,0.02799684,0.6191026,0.0001817555,0.08649719],"study_design_scores_gemma":[0.001235882,0.0001573716,0.2104747,0.00002488613,0.000034033,0.000001619316,0.0009722476,0.7829751,0.0001585931,0.003528019,0.0002377916,0.0001997463],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8937979,0.00006159045,0.1032164,0.0002504861,0.00004890614,0.0001288529,0.00002214434,0.00001868213,0.002454999],"genre_scores_gemma":[0.9988146,0.00000187407,0.0007553868,0.00003484436,0.00014973,0.000002065497,0.00006876333,0.000004026087,0.0001686713],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7778035,"threshold_uncertainty_score":0.2907764,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007087176135769643,"score_gpt":0.2338884274358384,"score_spread":0.2268012513000687,"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."}}