{"id":"W2238758634","doi":"10.1007/978-1-4614-6992-6_1","title":"Introduction to Dynamic Bifurcation Theory","year":2013,"lang":"en","type":"book-chapter","venue":"Applied mathematical sciences","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"","keywords":"Bifurcation; Mathematics; Lambda; Saddle-node bifurcation; Linearization; Bifurcation theory; Zero (linguistics); Transcritical bifurcation; Vector field; Pure mathematics; Mathematical analysis; Control theory (sociology); Mathematical physics; Physics; Geometry; Nonlinear system; Control (management); Computer science; 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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0008147888,0.0003949355,0.0005872204,0.0002091476,0.0002801938,0.0001482932,0.000456283,0.0002740178,0.006404439],"category_scores_gemma":[0.0003439958,0.0002884748,0.0001273726,0.0001463243,0.0003632374,0.0001140855,0.0001544728,0.0002446677,0.005726763],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001479156,"about_ca_system_score_gemma":0.00004546871,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001241679,"about_ca_topic_score_gemma":0.000004668007,"domain_scores_codex":[0.9974109,0.00002470001,0.0007162218,0.0007271308,0.0007484879,0.0003725486],"domain_scores_gemma":[0.9980465,0.000786402,0.0003287887,0.0005374765,0.00009254075,0.0002083089],"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":[0.000005168632,0.00004200834,2.138235e-8,0.0001191306,0.00002057,2.464297e-7,0.0000910059,0.00002113995,0.000284461,0.9815804,0.002110418,0.0157254],"study_design_scores_gemma":[0.00007391653,0.00005838602,0.000001207823,0.0001063653,0.00006335224,0.000004715307,0.00005953011,0.001034091,0.00003154309,0.9884111,0.009787827,0.0003679674],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0001901006,0.00001973327,0.4371746,0.0007484546,0.0001818278,0.001068624,0.000008045421,0.0001650795,0.5604436],"genre_scores_gemma":[0.03001424,0.00002046001,0.1618838,0.0002213994,0.001267359,0.0005074783,0.00004553779,0.000142888,0.8058969],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.2752908,"threshold_uncertainty_score":0.9999567,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02895400334400913,"score_gpt":0.296102312544363,"score_spread":0.2671483092003538,"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."}}