{"id":"W2190740063","doi":"10.1007/s10884-004-4294-0","title":"Periodic Solutions of Delay Differential Equations with a Small Parameter: Existence, Stability and Asymptotic Expansion","year":2004,"lang":"en","type":"article","venue":"Journal of Dynamics and Differential Equations","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Lipschitz continuity; Ordinary differential equation; Mathematical analysis; Delay differential equation; Scalar (mathematics); Partial differential equation; Stability (learning theory); Asymptotic expansion; Method of matched asymptotic expansions; Differential equation; Constant (computer programming); Exponential stability; Applied mathematics; Nonlinear system; Geometry; Physics","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":[0.0003760556,0.0005319587,0.0004345967,0.0008730994,0.0004384017,0.0007338763,0.0004588217,0.0007472638,0.001685643],"category_scores_gemma":[0.002710113,0.000284048,0.0004130827,0.000435551,0.0009562243,0.0007950406,0.0006487318,0.000656341,0.00016084],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003471288,"about_ca_system_score_gemma":0.0003885601,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005185857,"about_ca_topic_score_gemma":0.0004179747,"domain_scores_codex":[0.9999356,0.00001725747,0.000004361882,0.0000147491,0.00001813366,0.000009863155],"domain_scores_gemma":[0.9992632,0.0003787008,0.0001270966,0.00003436586,0.0001506115,0.00004606991],"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":[0.0004430898,0.000172995,0.003722958,0.0004185886,0.0001274571,0.001224671,0.0008495976,0.1529433,0.08563375,0.7073054,0.002910153,0.04424796],"study_design_scores_gemma":[0.00005704412,0.0001164484,0.001151313,0.00004817084,0.00004014719,0.0004713172,0.0001600307,0.8431574,0.004471113,0.1485328,0.001761857,0.00003229845],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6480126,0.002417346,0.3245875,0.001006459,0.0002800047,0.00006857011,0.0001019638,0.0001566281,0.02336893],"genre_scores_gemma":[0.9792168,0.0008727129,0.01198805,0.00006009969,0.00009168051,0.00006839581,0.00006416563,0.00003734316,0.007600879],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001685643,"threshold_uncertainty_score":0.005639076,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03050921580208132,"score_gpt":0.2379264785047179,"score_spread":0.2074172627026366,"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."}}