{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002459928,0.0003684902,0.0002598391,0.0002847049,0.0002073221,0.0003073874,0.0005691875,0.0003383894,0.002296795],"category_scores_gemma":[0.0005934827,0.0001961535,0.0002590723,0.0002508216,0.000293459,0.0003868931,0.0003839226,0.0004519948,0.0004269056],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002860012,"about_ca_system_score_gemma":0.0004031152,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002058156,"about_ca_topic_score_gemma":0.001326042,"domain_scores_codex":[0.9999245,0.00002444767,0.00000378238,0.00001098283,0.00002822639,0.00000794231],"domain_scores_gemma":[0.999861,0.00007136217,0.00001619844,0.00001367051,0.00003107321,0.000006618285],"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":[0.00006961068,0.00003853212,0.0008052756,0.000355743,0.00003088063,0.0002697849,0.000392064,0.6494739,0.07098261,0.08153568,0.002124035,0.1939219],"study_design_scores_gemma":[0.000003735106,0.00001401411,0.00005643056,0.000007286083,0.000002117364,0.0000260509,0.000009289264,0.9938048,0.002480886,0.001710968,0.001879032,0.000005393952],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01209709,0.0001193575,0.9838315,0.00005279627,0.00002313673,0.0000292355,0.00002097452,0.0002106912,0.003615163],"genre_scores_gemma":[0.4119058,0.000369881,0.5791003,0.00004472085,0.00002427874,0.0001712435,0.00009042385,0.000117754,0.008175657],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002296795,"threshold_uncertainty_score":0.007683575,"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."}}