{"id":"W4386135829","doi":"10.56415/basm.y2023.i1.p42","title":"The bifurcation diagram of the configurations of invariant lines of total multiplicity exactly three in quadratic vector fields","year":2023,"lang":"en","type":"article","venue":"Buletinul Academiei de Ştiinţe a Republicii Moldova Matematica","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Multiplicity (mathematics); Invariant (physics); Bifurcation diagram; Quadratic equation; Mathematics; Bifurcation; Diagram; Physics; Combinatorics; Pure mathematics; Mathematical analysis; Geometry; Mathematical physics; Quantum mechanics; Statistics; Nonlinear system","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0001868843,0.0002856936,0.0002277641,0.001472278,0.000614428,0.0008492946,0.0003518253,0.0004811621,0.008083137],"category_scores_gemma":[0.0004828007,0.0001541926,0.0003184877,0.0003792021,0.0011165,0.0008300949,0.0005645351,0.0005082752,0.0007992598],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008056628,"about_ca_system_score_gemma":0.000286934,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007985495,"about_ca_topic_score_gemma":0.000575605,"domain_scores_codex":[0.999845,0.00003215481,0.000008757936,0.0000298479,0.00003749246,0.00004668011],"domain_scores_gemma":[0.9998252,0.00004423624,0.00004803883,0.00001328917,0.00003141753,0.00003788399],"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":[0.0001534303,0.00004379751,0.002544793,0.0001131376,0.00001873083,0.000594939,0.0005097698,0.01570417,0.02132718,0.9337084,0.002625865,0.02265586],"study_design_scores_gemma":[0.00008704993,0.0001483375,0.004980884,0.0001051011,0.00001969157,0.0006985935,0.0004811903,0.1162584,0.01179894,0.8573943,0.007940387,0.00008713647],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8517123,0.0004912069,0.06925183,0.0005139823,0.00009531702,0.00006869416,0.0004588845,0.0004931111,0.07691464],"genre_scores_gemma":[0.9861156,0.0001371812,0.009705299,0.000052893,0.00001928529,0.00005367054,0.0002040716,0.00005446303,0.003657595],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008083137,"threshold_uncertainty_score":0.02704078,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04090629609386009,"score_gpt":0.313712656935473,"score_spread":0.2728063608416129,"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."}}