{"id":"W2606222433","doi":"10.1016/j.jmaa.2017.04.019","title":"Bifurcation of limit cycles in a cubic-order planar system around a nilpotent critical point","year":2017,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Nilpotent; Mathematics; Critical point (mathematics); Limit (mathematics); Bifurcation; Planar; Infinite-period bifurcation; Mathematical analysis; Bifurcation theory; Limit cycle; Pure mathematics; Physics; Quantum mechanics; Nonlinear system","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0001547252,0.0002541969,0.0004544279,0.001282798,0.001296415,0.001334611,0.0005595149,0.0008771661,0.003508095],"category_scores_gemma":[0.0009521295,0.0002162968,0.0003620773,0.0003670155,0.001260421,0.0007339473,0.00112056,0.0004904054,0.0003159477],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001044102,"about_ca_system_score_gemma":0.0006952653,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002568363,"about_ca_topic_score_gemma":0.001732494,"domain_scores_codex":[0.9999305,0.00001345713,0.000003555126,0.0000120058,0.00001837445,0.0000221099],"domain_scores_gemma":[0.9997697,0.00003883115,0.00005332908,0.00001808129,0.00004323537,0.00007680178],"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":[0.0006187705,0.0002258605,0.007486003,0.0002611285,0.0001314257,0.003151247,0.002101531,0.13179,0.05695811,0.7714595,0.004299136,0.0215172],"study_design_scores_gemma":[0.00011611,0.000208167,0.004795185,0.00005485692,0.00005312136,0.0008536475,0.0008437075,0.664183,0.005553911,0.3195309,0.003730043,0.00007738146],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9563659,0.0002240773,0.01556561,0.000518306,0.00007247544,0.00005266062,0.00006784798,0.0001799209,0.02695314],"genre_scores_gemma":[0.9968714,0.00004705604,0.001409946,0.00002858773,0.00001276283,0.00001509032,0.00002623456,0.00001409569,0.001574959],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003508095,"threshold_uncertainty_score":0.01173574,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0356909088662101,"score_gpt":0.342563038452162,"score_spread":0.3068721295859518,"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."}}