{"id":"W2804910555","doi":"10.5539/mer.v8n1p41","title":"Periodic Solutions of Duffing-Type Oscillators Using Continuous Piecewise Linearization Method","year":2018,"lang":"en","type":"article","venue":"Mechanical Engineering Research","topic":"Acoustic Wave Phenomena Research","field":"Engineering","cited_by":24,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Duffing equation; Mathematics; Linearization; Nonlinear system; Piecewise linear function; Trigonometric functions; Piecewise; Mathematical analysis; Oscillation (cell signaling); Quintic function; Sine; Type (biology); Control theory (sociology); Harmonic balance; Applied mathematics; Physics; Computer science; Geometry","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":[0.00258372,0.0002178339,0.0003710378,0.0006312008,0.000214841,0.00007235877,0.0004486594,0.0002173819,0.0002450985],"category_scores_gemma":[0.001906188,0.0002298511,0.00007702735,0.001922996,0.0001547096,0.0001324874,0.0002944705,0.0007809023,0.00008642432],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003461861,"about_ca_system_score_gemma":0.0001469621,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006761953,"about_ca_topic_score_gemma":0.000004044376,"domain_scores_codex":[0.9970356,0.0001326894,0.0004614655,0.0003485365,0.0009691142,0.001052568],"domain_scores_gemma":[0.9977891,0.0005092516,0.00002879815,0.0005179573,0.0008674517,0.0002873899],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00002914692,0.00005291041,0.00002633715,0.0002208971,0.00008321513,0.000008468869,0.0002327531,0.1961148,0.7960693,0.004907572,0.000268786,0.001985915],"study_design_scores_gemma":[0.0002608016,0.0002233548,0.00006182503,0.00007993854,0.00001443706,0.00001141235,0.00006716693,0.9579827,0.0398824,0.0003058977,0.0009041163,0.000205933],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.16427,0.0002759114,0.8337944,0.00004760244,0.0004787882,0.0003831501,0.00001220434,0.0003517075,0.0003862441],"genre_scores_gemma":[0.9513958,0.0000304843,0.04793461,0.000004681335,0.0004191241,0.00001622889,0.000007117329,0.0001037908,0.0000881747],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7871258,"threshold_uncertainty_score":0.9373055,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08494714629573467,"score_gpt":0.357657417139339,"score_spread":0.2727102708436043,"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."}}