{"id":"W2128796982","doi":"10.1016/j.cnsns.2015.04.005","title":"Center and isochronous center conditions for switching systems associated with elementary singular points","year":2015,"lang":"en","type":"article","venue":"Communications in Nonlinear Science and Numerical Simulation","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":46,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Center (category theory); Quadratic equation; Mathematics; Limit (mathematics); Limit cycle; Control theory (sociology); Mathematical analysis; Applied mathematics; Computer science; Geometry; Control (management)","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":[0.001061976,0.0006388014,0.001041375,0.002019277,0.001254654,0.001997795,0.001023622,0.001037926,0.009696976],"category_scores_gemma":[0.004869813,0.000303796,0.000798806,0.0006528532,0.00187736,0.002339297,0.002153714,0.001669334,0.0006119341],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001181567,"about_ca_system_score_gemma":0.001500605,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001976948,"about_ca_topic_score_gemma":0.002043987,"domain_scores_codex":[0.9996068,0.00006448186,0.00002698473,0.00007124217,0.0001072076,0.0001233637],"domain_scores_gemma":[0.9977853,0.0007897467,0.0003183881,0.000139834,0.0006058705,0.0003607821],"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":[0.0002368324,0.00005756451,0.0005036564,0.00007677013,0.00002387139,0.0002628536,0.0003577607,0.0139741,0.004948875,0.9711803,0.001491895,0.006885526],"study_design_scores_gemma":[0.00009087527,0.0001158656,0.0007738735,0.00004190278,0.00002891304,0.0001616855,0.0004473747,0.2697822,0.004141873,0.7222636,0.002095275,0.00005648355],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4507145,0.0007642917,0.4760057,0.0007850413,0.0003677787,0.0001885999,0.0003853523,0.0003595703,0.07042916],"genre_scores_gemma":[0.9805782,0.0002675419,0.01213322,0.000109512,0.0001279615,0.00007246191,0.0001788457,0.000110584,0.006421531],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009696976,"threshold_uncertainty_score":0.03243965,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08445773183614705,"score_gpt":0.385075440801642,"score_spread":0.3006177089654949,"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."}}