{"id":"W4312217497","doi":"10.28924/2291-8639-20-2022-73","title":"Unusual Nonpolynomial Van der Pol Oscillator Equations With Exact Harmonic and Isochronous Solutions","year":2022,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Van der Pol oscillator; Mathematics; Limit (mathematics); Limit cycle; Harmonic oscillator; Type (biology); Duffing equation; Nonlinear system; Mathematical analysis; Exact solutions in general relativity; Polynomial; Harmonic; Quantum mechanics; Physics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001906708,0.0000978443,0.0002066466,0.0002662364,0.0003944268,0.0001023246,0.0001856981,0.00001451771,0.0004076333],"category_scores_gemma":[0.000002794661,0.00008120795,0.000143894,0.0003421649,0.00006874763,0.000117001,0.00009419413,0.0001643734,0.000002588448],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007286976,"about_ca_system_score_gemma":0.00009847809,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003167773,"about_ca_topic_score_gemma":0.00003515037,"domain_scores_codex":[0.9989999,0.00004323168,0.0003545872,0.0001559066,0.0003211594,0.0001252299],"domain_scores_gemma":[0.9991521,0.00009780763,0.0003422854,0.0001009579,0.0001943883,0.000112459],"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":[0.0002359111,0.002281292,0.2630625,0.00001544568,0.02206633,0.00001861483,0.001730255,0.04575229,0.006920713,0.5613809,0.00131057,0.09522514],"study_design_scores_gemma":[0.01309691,0.002034473,0.2131115,0.0001204601,0.01552241,0.0005661086,0.01621719,0.4436931,0.0007921236,0.07096466,0.2208829,0.002998127],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3710888,0.0003254173,0.6256377,0.001598542,0.00007408821,0.000163506,0.0002992737,0.000008799679,0.0008038569],"genre_scores_gemma":[0.9989353,0.00001404753,0.0003810153,0.00004892799,0.000369842,0.00005355983,0.00005512608,0.000007821063,0.0001343002],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6278465,"threshold_uncertainty_score":0.4463299,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007900172964310373,"score_gpt":0.2486276983895301,"score_spread":0.2407275254252197,"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."}}