{"id":"W2942054735","doi":"","title":"Geometric and algebraic classification of quadratic differential systems with invariant hyperbolas","year":2017,"lang":"en","type":"article","venue":"Dipòsit Digital de Documents de la UAB (Universitat Autònoma de Barcelona)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"FP7 People: Marie-Curie Actions; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Natural Sciences and Engineering Research Council of Canada; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Hyperbola; Mathematics; Invariant (physics); Quadratic equation; Algebraic number; Differential algebraic geometry; Pure mathematics; Mathematical analysis; Differential equation; Differential algebraic equation; Geometry; Ordinary differential equation; Mathematical physics","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":[0.000272334,0.0003579956,0.0003773283,0.002077913,0.0006894479,0.00137769,0.0005236761,0.0003218036,0.005377988],"category_scores_gemma":[0.001296368,0.0001968482,0.000398255,0.0008369819,0.002058,0.001176155,0.00116224,0.0005677243,0.0003955407],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001087325,"about_ca_system_score_gemma":0.0004710336,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002080954,"about_ca_topic_score_gemma":0.0008269984,"domain_scores_codex":[0.9995189,0.00004761359,0.00003286383,0.00007594994,0.00021078,0.0001138509],"domain_scores_gemma":[0.9992392,0.0001097644,0.0002823849,0.00007014318,0.0001819861,0.0001164809],"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":[0.0001040903,0.00004169426,0.00604715,0.0001402854,0.00002574173,0.0002881495,0.000505067,0.03149126,0.008029582,0.9230213,0.001453523,0.02885213],"study_design_scores_gemma":[0.0001116086,0.0001860868,0.01258616,0.00004874137,0.00002389652,0.0008377068,0.0006867623,0.2150685,0.005280293,0.7514619,0.0136194,0.00008905754],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8785729,0.000525091,0.07456978,0.0004455085,0.00007001399,0.0001073597,0.0004484617,0.0001927874,0.04506807],"genre_scores_gemma":[0.9877548,0.0001696043,0.007760882,0.00003330718,0.00007697087,0.00003193189,0.0004545049,0.00001739156,0.003700623],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005377988,"threshold_uncertainty_score":0.01799113,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01687524184309897,"score_gpt":0.2708918813455591,"score_spread":0.2540166395024602,"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."}}