{"id":"W2054848609","doi":"10.1016/s0022-0396(02)00179-1","title":"Restrictions and unfolding of double Hopf bifurcation in functional differential equations","year":2003,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Nonlinear Dynamics and Pattern Formation","field":"Computer Science","cited_by":51,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University; Université de Montréal","funders":"","keywords":"Mathematics; Hopf bifurcation; Delay differential equation; Mathematical analysis; Scalar (mathematics); Nonlinear system; Differential equation; Ordinary differential equation; Equilibrium point; Bifurcation; Physics; 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":[0.0006483222,0.0002485993,0.0004432611,0.0008339889,0.000903811,0.001197076,0.0004235647,0.0004688386,0.002770361],"category_scores_gemma":[0.003731089,0.0002814206,0.0004351784,0.0002758219,0.001353476,0.002013289,0.001598224,0.001086775,0.0002492442],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006165151,"about_ca_system_score_gemma":0.000399372,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008234156,"about_ca_topic_score_gemma":0.0005007703,"domain_scores_codex":[0.9997773,0.00005819014,0.00001464648,0.0000335581,0.00005107189,0.00006526535],"domain_scores_gemma":[0.9989267,0.0003830891,0.0001858848,0.0001551043,0.000140713,0.0002084554],"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":[0.0001142605,0.00007804964,0.001938201,0.00003233019,0.00001274779,0.0004203263,0.0005859472,0.01874102,0.01247416,0.9505254,0.000746887,0.01433067],"study_design_scores_gemma":[0.00001665624,0.00005362235,0.001623084,0.00001254081,0.000006693752,0.0001912729,0.0002359415,0.2121762,0.003237078,0.7811321,0.001293835,0.00002091385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8184109,0.0001343367,0.1583104,0.0005251168,0.0000659053,0.00003750304,0.00006655321,0.00023652,0.02221263],"genre_scores_gemma":[0.991102,0.00007049539,0.005969703,0.00003501025,0.00002848703,0.00001767628,0.0000382704,0.00004473056,0.002693682],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002770361,"threshold_uncertainty_score":0.009267807,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03407854930934148,"score_gpt":0.2588862852160441,"score_spread":0.2248077359067026,"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."}}