{"id":"W2012361288","doi":"10.1007/bf02969379","title":"On the geometry in the neighborhood of infinity of quadratic differential systems with a weak focus","year":2001,"lang":"en","type":"article","venue":"Qualitative Theory of Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":false,"ca_institutions":"The Scarborough Hospital; Université de Montréal","funders":"","keywords":"Mathematics; Quadratic differential; Quadratic equation; Focus (optics); Invariant (physics); Divisor (algebraic geometry); Affine transformation; Pure mathematics; Invariant theory; Differential (mechanical device); Infinity; Differential algebraic geometry; Algebraic geometry; Differential geometry; Quadratic field; Algebra over a field; Quadratic function; Mathematical analysis; Geometry; Differential equation; Ordinary differential equation; Differential algebraic equation","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":[0.001194261,0.0006076669,0.001072783,0.001976861,0.002241344,0.002395753,0.001279009,0.001154689,0.004129069],"category_scores_gemma":[0.00318744,0.0004749249,0.000742561,0.000687326,0.004448635,0.005969528,0.002656678,0.001651363,0.0002420315],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001862919,"about_ca_system_score_gemma":0.0006863094,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002648555,"about_ca_topic_score_gemma":0.001304984,"domain_scores_codex":[0.9994605,0.0001938606,0.00002425427,0.0001108308,0.0001361891,0.00007433679],"domain_scores_gemma":[0.9982621,0.0006466489,0.0002686338,0.00009420075,0.0003234844,0.0004050092],"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":[0.00001436572,0.000005823025,0.0001124014,0.000021765,0.000005104669,0.00004298158,0.0001480353,0.0012523,0.0004001053,0.9972641,0.0002343507,0.0004985899],"study_design_scores_gemma":[0.00001451244,0.00002855725,0.0003494631,0.00000957583,0.000006613744,0.00005759252,0.0001312256,0.009580613,0.000138842,0.988484,0.001188343,0.00001065211],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6709827,0.003977124,0.2076909,0.006822061,0.0003297045,0.0001246921,0.0005569451,0.000166338,0.1093496],"genre_scores_gemma":[0.976671,0.001108951,0.01086667,0.0003292673,0.0003557401,0.00006308477,0.0002089891,0.00005343229,0.01034279],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004129069,"threshold_uncertainty_score":0.01381314,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05774801298338204,"score_gpt":0.343818964092213,"score_spread":0.2860709511088309,"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."}}