{"id":"W1990816663","doi":"10.1142/s0218127408022445","title":"INFINITE ORDER PARAMETRIC NORMAL FORM OF HOPF SINGULARITY","year":2008,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Graph theory and applications","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Parametric statistics; Singularity; Codimension; Pure mathematics; Mathematical analysis; Topology (electrical circuits); Combinatorics","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":[0.0003455789,0.0003295219,0.0003897411,0.001480672,0.0005982584,0.001058272,0.000521933,0.0004181893,0.002594814],"category_scores_gemma":[0.00120382,0.0001815053,0.0005259484,0.000373482,0.001155837,0.00277395,0.001207886,0.0007320121,0.0003454758],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005530764,"about_ca_system_score_gemma":0.0004290056,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006036372,"about_ca_topic_score_gemma":0.0004530576,"domain_scores_codex":[0.999746,0.00003176433,0.0000201036,0.0000592982,0.0001033588,0.00003938541],"domain_scores_gemma":[0.9997416,0.00003334698,0.00004423213,0.00003762971,0.00007663368,0.00006657669],"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":[0.00002565982,0.00002655841,0.001253748,0.00005154912,0.00001107167,0.0004111109,0.00042385,0.006462615,0.008653494,0.9663306,0.0003656313,0.01598395],"study_design_scores_gemma":[0.000009356644,0.00006986146,0.0007481415,0.00001482006,0.000008545881,0.000534473,0.0001563138,0.09721017,0.005846358,0.89188,0.00348803,0.00003394764],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4613211,0.0002400848,0.5245973,0.0001675762,0.00009391335,0.00006868313,0.00009636856,0.0002548327,0.01316013],"genre_scores_gemma":[0.9495351,0.0001701662,0.04482243,0.0000319613,0.00006408009,0.00002736951,0.00008723815,0.00005229277,0.005209407],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002594814,"threshold_uncertainty_score":0.008680582,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04563073653139292,"score_gpt":0.3181417546328762,"score_spread":0.2725110181014833,"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."}}