{"id":"W4298067774","doi":"10.48550/arxiv.1402.5866","title":"Zero-Hopf bifurcation in the Van der Pol oscillator with delayed\\n position and velocity feedback","year":2014,"lang":"","type":"preprint","venue":"arXiv (Cornell University)","topic":"stochastic dynamics and bifurcation","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"","keywords":"Van der Pol oscillator; Center manifold; Hopf bifurcation; Mathematics; Position (finance); Phase portrait; Zero (linguistics); Bifurcation; Saddle-node bifurcation; Nonlinear system; Control theory (sociology); Mathematical analysis; Physics; Quantum mechanics; Computer science","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00045525,0.0005455104,0.0004366889,0.0002543027,0.0004340606,0.0002180384,0.0005382365,0.0002915265,0.00004265073],"category_scores_gemma":[0.000008748508,0.0004786289,0.0001503204,0.0006268701,0.0002708567,0.000270323,0.0002831567,0.0007071135,0.00006253181],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002646144,"about_ca_system_score_gemma":0.0002378912,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001141758,"about_ca_topic_score_gemma":0.0001301753,"domain_scores_codex":[0.9975872,0.0002657773,0.0003586166,0.001144361,0.0001704929,0.000473559],"domain_scores_gemma":[0.9980834,0.0001836474,0.000528488,0.0007836053,0.0002571084,0.0001638257],"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":[0.001253543,0.001155626,0.09008427,0.0002538013,0.0008375981,0.00003751742,0.003910038,0.3833338,0.0003736016,0.5072396,0.0002739238,0.01124663],"study_design_scores_gemma":[0.0031073,0.0005099787,0.09345444,0.0004897215,0.0008921357,0.00001491337,0.001564411,0.8023354,0.0000407374,0.09570939,0.000563496,0.001318031],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6162144,0.00002116153,0.3812818,0.0002025662,0.0001324523,0.0006736775,0.0000544241,0.00001687107,0.001402607],"genre_scores_gemma":[0.9987242,0.00005738285,0.000253294,0.0001557451,0.0002508264,0.000006475794,0.0002818655,0.00003639618,0.0002338034],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4190016,"threshold_uncertainty_score":0.9997665,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01976423838608639,"score_gpt":0.1688459386544835,"score_spread":0.1490817002683971,"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."}}