{"id":"W1971602778","doi":"10.1063/1.2912226","title":"Lotka–Volterra systems integrable in quadratures","year":2008,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Integrable system; Mathematics; Hamiltonian system; Volterra integral equation; Hamiltonian (control theory); Conserved quantity; Mathematical physics; Mathematical analysis; Applied mathematics; Integral equation; Mathematical optimization","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":[0.001234166,0.0003791575,0.0008831443,0.0007927242,0.0008954185,0.002060192,0.0008691882,0.001220384,0.002698576],"category_scores_gemma":[0.00212523,0.0003866236,0.0008692539,0.0005700326,0.002276046,0.001907939,0.001248333,0.001330087,0.0003483393],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008457288,"about_ca_system_score_gemma":0.0005347563,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006007668,"about_ca_topic_score_gemma":0.0006635661,"domain_scores_codex":[0.9995325,0.0001457632,0.00003101259,0.00005291553,0.0001575281,0.00008039835],"domain_scores_gemma":[0.9992836,0.0002154664,0.0001141773,0.0001105247,0.000147375,0.0001289798],"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":[0.00003484761,0.0000411257,0.00030992,0.00002627202,0.00001882654,0.0001184718,0.0001062296,0.01414189,0.003851769,0.9785307,0.000427512,0.002392398],"study_design_scores_gemma":[0.0000515633,0.00006488634,0.0004281759,0.00002064505,0.00001652415,0.0001621213,0.000062315,0.3579881,0.001232659,0.6387118,0.001227324,0.00003395266],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5421504,0.00100197,0.4181893,0.00106745,0.0004955922,0.00007676178,0.0001328486,0.0002871513,0.0365985],"genre_scores_gemma":[0.965851,0.0002389009,0.02786844,0.0001616735,0.0001151618,0.00006058942,0.0001033143,0.00004740871,0.005553589],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002698576,"threshold_uncertainty_score":0.0090276,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02498882630073474,"score_gpt":0.269479586433121,"score_spread":0.2444907601323862,"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."}}