{"id":"W2940633252","doi":"10.1051/fopen/2019003","title":"Periodic solutions for a class of conservative Liénard-type equations","year":2019,"lang":"en","type":"article","venue":"4open","topic":"Nonlinear Differential Equations Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University; University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Coincidence; Mathematics; Class (philosophy); Degree (music); Operator (biology); Periodic boundary conditions; Type (biology); Mathematical analysis; Differential equation; Liénard equation; Order (exchange); Pure mathematics; Boundary value problem; Linear differential equation; Physics; Exact differential equation; Computer science","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":[0.0002189801,0.0003110793,0.0003963558,0.0004827266,0.0006392276,0.0006568412,0.0002847179,0.0007382907,0.00102291],"category_scores_gemma":[0.0007197515,0.0001483689,0.000422497,0.0002022214,0.0009352521,0.0006121849,0.0006570441,0.0004193624,0.00006833458],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002081536,"about_ca_system_score_gemma":0.0003588358,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006927546,"about_ca_topic_score_gemma":0.0004795399,"domain_scores_codex":[0.9999256,0.0000162534,0.000004958369,0.00001408381,0.00002314694,0.00001586567],"domain_scores_gemma":[0.9998201,0.00005558884,0.00005970869,0.00001136708,0.00002166043,0.00003165665],"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":[0.0001674984,0.0001183798,0.007228396,0.0002774842,0.0001297645,0.004440102,0.001014868,0.1457815,0.0533499,0.7730203,0.00125157,0.01322017],"study_design_scores_gemma":[0.00009254347,0.0001703895,0.002920419,0.00003077435,0.00002691887,0.001350222,0.0003454449,0.7300169,0.007598368,0.2551008,0.002308249,0.00003897108],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9270535,0.0003343086,0.06574842,0.0003208807,0.00004516615,0.00002629282,0.00002857357,0.00003885924,0.006403907],"genre_scores_gemma":[0.9931202,0.0001617855,0.004214248,0.00003372749,0.00004273352,0.00002362514,0.00003892743,0.000007431513,0.002357351],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00102291,"threshold_uncertainty_score":0.003421962,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.133451253156894,"score_gpt":0.3636228326074492,"score_spread":0.2301715794505552,"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."}}