{"id":"W3177323227","doi":"10.3934/jcd.2021013","title":"On polynomial forms of nonlinear functional differential equations","year":2021,"lang":"en","type":"article","venue":"Journal of Computational Dynamics","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Nonlinear system; Differential equation; Polynomial; Embedding; Eigenvalues and eigenvectors; Functional equation; Mathematical analysis; Invariant (physics); Pure mathematics; Physics; Computer science","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":[0.002294802,0.001639817,0.001419681,0.002607336,0.001277598,0.002547061,0.001312497,0.001709696,0.008194814],"category_scores_gemma":[0.01015012,0.0006200369,0.001143749,0.002068057,0.004012886,0.004418716,0.002356341,0.003157218,0.0007812313],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002343005,"about_ca_system_score_gemma":0.001121477,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003714477,"about_ca_topic_score_gemma":0.002224348,"domain_scores_codex":[0.9992341,0.0003530517,0.00003671681,0.0001219305,0.0001627451,0.0000915052],"domain_scores_gemma":[0.9961273,0.002478878,0.000246644,0.0001418785,0.0006589378,0.0003464478],"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":[0.0000133741,0.00001744338,0.0001147738,0.00004422025,0.00000641451,0.00004042363,0.0001917476,0.003731913,0.0002582661,0.9908435,0.001417876,0.003320018],"study_design_scores_gemma":[0.00001029238,0.00001018172,0.0001354033,0.00001644967,0.000003758949,0.00002976057,0.00002983622,0.02796379,0.00005647048,0.9701933,0.001539577,0.00001115959],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2681321,0.01033926,0.4973564,0.01757494,0.004021699,0.0001540318,0.0007080135,0.0003465716,0.2013671],"genre_scores_gemma":[0.8628742,0.008038618,0.03837716,0.001357324,0.004549076,0.0001509032,0.0005993721,0.0003378678,0.08371556],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008194814,"threshold_uncertainty_score":0.02741432,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009751925352380767,"score_gpt":0.2407724361282194,"score_spread":0.2310205107758387,"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."}}