{"id":"W1986588323","doi":"10.1016/j.jmaa.2015.02.026","title":"Periodic van der Pol equation with state dependent impulses","year":2015,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Van der Pol oscillator; Mathematics; Hill differential equation; State (computer science); Mathematical analysis; Differential equation; Physics; Exact differential equation; First-order partial differential equation; Quantum mechanics; Nonlinear system","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":[],"consensus_categories":[],"category_scores_codex":[0.001459103,0.0002034137,0.0006693978,0.0002775596,0.0001034782,0.0001124813,0.0002399016,0.00005867008,0.0001554912],"category_scores_gemma":[0.0003424308,0.0001294688,0.0002181101,0.0007828282,0.0001682286,0.0001880706,0.00004912094,0.0002335984,0.0000384354],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007306021,"about_ca_system_score_gemma":0.00006809279,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002315965,"about_ca_topic_score_gemma":0.000007900578,"domain_scores_codex":[0.9978582,0.0000789367,0.0009020225,0.0001818394,0.0007449855,0.0002340088],"domain_scores_gemma":[0.997256,0.0008888774,0.0006612732,0.0003544503,0.0004782256,0.0003611596],"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":[0.00008852094,0.001212304,0.0005595146,0.0002014974,0.002128876,0.00001394456,0.001674885,0.0003448038,0.0005804833,0.9878596,0.0001360644,0.005199506],"study_design_scores_gemma":[0.0004141184,0.0001416436,0.0001323805,0.00004055234,0.00220008,0.00008029173,0.0007585405,0.001986065,0.0009755024,0.9930031,0.00009597065,0.0001718096],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.161192,0.00006599251,0.8359215,0.0002806673,0.000006176041,0.0002403856,0.000005625759,0.00002370504,0.002263916],"genre_scores_gemma":[0.9049734,0.0000138525,0.09453782,0.00005884716,0.00012407,0.00003061481,0.000002411472,0.00002614633,0.0002327842],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7437814,"threshold_uncertainty_score":0.5279583,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04705198535114866,"score_gpt":0.3246900693693635,"score_spread":0.2776380840182148,"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."}}