{"id":"W1990229409","doi":"10.1142/s0218127408021117","title":"STABILITY, SYMMETRY-BREAKING BIFURCATIONS AND CHAOS IN DISCRETE DELAYED MODELS","year":2008,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Chaos control and synchronization","field":"Physics and Astronomy","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Equivariant map; Pitchfork bifurcation; Mathematics; Saddle-node bifurcation; Bifurcation; Attractor; Heteroclinic bifurcation; Biological applications of bifurcation theory; Bogdanov–Takens bifurcation; Transcritical bifurcation; Invariant (physics); Period-doubling bifurcation; Bifurcation diagram; Chaotic; Homoclinic bifurcation; Symmetry breaking; Mathematical analysis; Pure mathematics; Physics; Nonlinear system; Mathematical physics; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002590498,0.0004357045,0.0004468701,0.000520386,0.0003782254,0.0008032064,0.0007713303,0.000568509,0.000782517],"category_scores_gemma":[0.000831194,0.0002131404,0.0005863975,0.0002612815,0.001013953,0.001019866,0.000958699,0.000481078,0.00008761922],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006706518,"about_ca_system_score_gemma":0.0003203199,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001684,"about_ca_topic_score_gemma":0.0008550122,"domain_scores_codex":[0.9998899,0.00002871137,0.000008719258,0.00002289948,0.00003121388,0.00001854778],"domain_scores_gemma":[0.9997786,0.00005689626,0.00006799131,0.00004019932,0.00002081241,0.00003550272],"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":[0.00008808497,0.00005644728,0.003204971,0.0001213691,0.00009435882,0.0006401282,0.000294622,0.4747241,0.0260119,0.4883913,0.0004643507,0.005908478],"study_design_scores_gemma":[0.00002076606,0.00003991682,0.00048467,0.00000706005,0.00001596189,0.00008835686,0.00003894543,0.9029508,0.001491923,0.09397209,0.0008756695,0.0000138494],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7022645,0.002018781,0.2790661,0.0007098215,0.0001701607,0.00005465309,0.0001724531,0.000130477,0.015413],"genre_scores_gemma":[0.9924136,0.0003661375,0.005461589,0.00001807281,0.00003088892,0.00002482167,0.00002835951,0.00001064962,0.001645967],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001684,"threshold_uncertainty_score":0.004866004,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01819605942930741,"score_gpt":0.2542312543276096,"score_spread":0.2360351948983022,"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."}}