{"id":"W1969975546","doi":"10.1142/s0218127409025250","title":"HOPF BIFURCATIONS FOR NEAR-HAMILTONIAN SYSTEMS","year":2009,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":96,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Hamiltonian system; Mathematics; Quadratic equation; Bifurcation; Limit cycle; Limit (mathematics); Hamiltonian (control theory); Mathematical analysis; Hopf bifurcation; Applied mathematics; Control theory (sociology); Physics; Mathematical optimization; Computer science; Nonlinear system; Geometry; Quantum mechanics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002221364,0.0002171658,0.0003312139,0.0005983539,0.0005402595,0.0004065638,0.0003173538,0.000383901,0.001662837],"category_scores_gemma":[0.0009498721,0.0001343458,0.0002759481,0.0001925217,0.000567571,0.0006896154,0.0005930643,0.0003568997,0.0001713533],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003564559,"about_ca_system_score_gemma":0.0002128175,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009781244,"about_ca_topic_score_gemma":0.000740969,"domain_scores_codex":[0.9999094,0.00002542912,0.000004877592,0.0000157514,0.0000331277,0.00001135767],"domain_scores_gemma":[0.9998336,0.00006644712,0.00003734309,0.00001280522,0.00002937689,0.00002054214],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000967857,0.00006523739,0.004034602,0.0002177697,0.00008646846,0.001042751,0.0008504188,0.392457,0.05064504,0.5125737,0.0007399514,0.03719033],"study_design_scores_gemma":[0.00001032718,0.00002987264,0.0005953654,0.000009604143,0.00000758351,0.0001315963,0.00006492575,0.8775672,0.002211675,0.1184237,0.0009352015,0.00001291181],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6194929,0.0008842352,0.3691316,0.000207174,0.00005567839,0.00005873031,0.00003954682,0.0001223835,0.01000778],"genre_scores_gemma":[0.9729127,0.0002441905,0.0245044,0.00003041483,0.00002038964,0.00003055793,0.00003414394,0.0000187771,0.002204448],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001662837,"threshold_uncertainty_score":0.005562782,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03772972604244877,"score_gpt":0.3639002716211857,"score_spread":0.3261705455787369,"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."}}