{"id":"W3007332391","doi":"","title":"Limit cycles for fourth-order autonomous differential equations","year":2012,"lang":"en","type":"article","venue":"DOAJ (DOAJ: Directory of Open Access Journals)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Limit (mathematics); Order (exchange); Limit cycle; Differential equation; Mathematical analysis; Applied mathematics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000709361,0.0003687901,0.0008691691,0.0004495815,0.0004432107,0.0007286923,0.001377865,0.0001700932,0.004872734],"category_scores_gemma":[0.001583395,0.0003131982,0.0003367624,0.0005201814,0.00009612388,0.002010031,0.0005410682,0.0002682723,0.00002407038],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001336719,"about_ca_system_score_gemma":0.00008690497,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001790311,"about_ca_topic_score_gemma":0.0000737006,"domain_scores_codex":[0.9970805,0.0001986922,0.001187268,0.0003446242,0.0005639358,0.0006249542],"domain_scores_gemma":[0.9957328,0.001893033,0.001022417,0.0005402219,0.0004319123,0.0003795608],"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":[0.001073745,0.009927816,0.2281939,0.001831664,0.002983015,0.00001249472,0.00325237,0.003228547,0.1999438,0.3178211,0.04777991,0.1839517],"study_design_scores_gemma":[0.003835468,0.00006229036,0.1704656,0.0009249009,0.001114764,0.00002252837,0.0003995707,0.03475429,0.01088873,0.7640904,0.01121769,0.002223727],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2948332,0.001813913,0.6998459,0.00008571791,0.0009862505,0.001033359,0.0001185348,0.00007295259,0.001210136],"genre_scores_gemma":[0.9859483,0.0003173462,0.0118321,0.0000453173,0.0006219976,0.0002649488,0.00005036641,0.0000898867,0.0008297187],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6911151,"threshold_uncertainty_score":0.999932,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.3756999486594418,"score_gpt":0.5718867962668991,"score_spread":0.1961868476074573,"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."}}