{"id":"W1993890568","doi":"10.1155/2012/264526","title":"New Bifurcation Critical Criterion of Flip‐Neimark‐Sacker Bifurcations for Two‐Parameterized Family of <i>n</i>‐Dimensional Discrete Systems","year":2012,"lang":"en","type":"article","venue":"Discrete Dynamics in Nature and Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Parameterized complexity; Mathematics; Bifurcation; Flip; Applied mathematics; Pure mathematics; Mathematical analysis; Control theory (sociology); Computer science; Combinatorics; Physics; Nonlinear system; Quantum mechanics; Artificial intelligence","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":[],"consensus_categories":[],"category_scores_codex":[0.0005108655,0.0002279452,0.0005524057,0.0000793317,0.0001054989,0.00002916703,0.0001357554,0.0003690541,0.000006112762],"category_scores_gemma":[0.0005563287,0.0001931773,0.0002704793,0.0002759036,0.0001609369,0.0002912544,0.00007273555,0.0003116535,3.559091e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001270967,"about_ca_system_score_gemma":0.0000672133,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001097027,"about_ca_topic_score_gemma":0.00002921355,"domain_scores_codex":[0.9982013,0.00009991249,0.0007680089,0.0002725875,0.0003217101,0.0003365367],"domain_scores_gemma":[0.9978474,0.001160796,0.0002807052,0.0003071593,0.0002349999,0.0001688983],"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":[0.0000927947,0.000179909,0.001595316,0.0007291608,0.00009249189,1.259897e-7,0.001031103,0.0001852053,0.007124446,0.9880758,0.0002928152,0.0006008509],"study_design_scores_gemma":[0.002844215,0.0001729326,0.004820984,0.0006795911,0.0003008084,0.000007347001,0.003366753,0.8666168,0.0002833631,0.1200752,0.0002103027,0.0006216161],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3912717,0.001362195,0.6044873,0.0002305543,0.0007713831,0.0009231848,0.00063739,0.00003434682,0.0002819966],"genre_scores_gemma":[0.9262945,0.00004484121,0.07295816,0.00004990846,0.0001215568,0.00006387262,0.0003423201,0.00003128329,0.00009355655],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8680005,"threshold_uncertainty_score":0.787754,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02120524688626613,"score_gpt":0.3506767898425385,"score_spread":0.3294715429562723,"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."}}