{"id":"W2790595169","doi":"10.5539/jmr.v10n2p55","title":"Stability and Oscillation for a Coupled Hamiltonian Duffing Oscillator Model with Delays","year":2018,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Nonlinear Dynamics and Pattern Formation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Duffing equation; Mathematics; Control theory (sociology); Oscillation (cell signaling); Hamiltonian system; Hamiltonian (control theory); Stability (learning theory); Synchronization (alternating current); Applied mathematics; Mathematical analysis; Topology (electrical circuits); Mathematical optimization; Computer science; Physics; Quantum mechanics; Nonlinear system; Combinatorics","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":[0.0002188674,0.0003681089,0.0003663109,0.0002860773,0.0003893174,0.0005158375,0.000553883,0.000554814,0.001076513],"category_scores_gemma":[0.0005860983,0.0001847129,0.000359376,0.0002237016,0.000581177,0.0005503438,0.0005712446,0.0003386332,0.00008591065],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004973526,"about_ca_system_score_gemma":0.0004755025,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.006318871,"about_ca_topic_score_gemma":0.00293631,"domain_scores_codex":[0.9998984,0.00002098637,0.000005487856,0.00003117533,0.00002312281,0.00002074313],"domain_scores_gemma":[0.9998448,0.00005716033,0.00004380705,0.000008970206,0.00002698565,0.00001830805],"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":[0.000203574,0.00006176577,0.004158754,0.0001952578,0.0001332824,0.001100377,0.0004370326,0.768695,0.06196361,0.1510866,0.0005919457,0.01137276],"study_design_scores_gemma":[0.00002045505,0.00004447311,0.0004645874,0.000004622384,0.00001847996,0.00005551394,0.00003163451,0.9882907,0.0007129225,0.009971672,0.0003725984,0.00001241275],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6817496,0.00115063,0.3035975,0.0005781263,0.0000973369,0.00003892397,0.0001336287,0.0001065002,0.01254779],"genre_scores_gemma":[0.9938487,0.0002528447,0.00334446,0.0000206148,0.00001677254,0.0000263782,0.00002441242,0.000006889136,0.002458897],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006318871,"threshold_uncertainty_score":0.01256418,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1093653862148271,"score_gpt":0.3633371640930169,"score_spread":0.2539717778781898,"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."}}