{"id":"W4385262230","doi":"10.48550/arxiv.2307.12923","title":"Nonuniqueness phenomena in discontinuous dynamical systems and their regularizations","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada; Ministero dell'Università e della Ricerca; Gruppo Nazionale per il Calcolo Scientifico; Gran Sasso Science Institute; Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Codimension; Limit (mathematics); Limit cycle; Bifurcation; Mathematics; Dynamical systems theory; Statistical physics; Sensitivity (control systems); Ambiguity; Function (biology); Range (aeronautics); Ode; Applied mathematics; Mathematical analysis; Pure mathematics; Physics; Nonlinear system; Computer science; Quantum mechanics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001730353,0.0002599295,0.0004111054,0.0002395368,0.00007540372,0.00008485068,0.0002877518,0.000273608,0.00001019808],"category_scores_gemma":[0.00004657881,0.0002920203,0.00009671877,0.0003472273,0.0001226023,0.0001100504,0.0002777196,0.0004149631,0.00001083919],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002333317,"about_ca_system_score_gemma":0.00004804349,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000457289,"about_ca_topic_score_gemma":0.001748634,"domain_scores_codex":[0.9988269,0.0001144862,0.0002448694,0.0005174681,0.00004171323,0.0002545585],"domain_scores_gemma":[0.9990713,0.000194401,0.00004880092,0.0005346749,0.00005491051,0.00009588338],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001389598,0.00005023329,0.003531367,0.0002943185,0.00009208439,0.00001212796,0.0003954904,0.9677358,0.00007640429,0.02744004,0.000005324519,0.0003529619],"study_design_scores_gemma":[0.0003687981,0.00001032288,0.01028349,0.0001160233,0.00004131659,5.506845e-7,0.0006725935,0.9622379,0.000003882188,0.02594498,0.00003225339,0.0002878723],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7346085,0.0001139482,0.2632808,0.0000640566,0.0004359085,0.0005010286,0.0001546936,0.0003985795,0.0004424488],"genre_scores_gemma":[0.9992586,0.0001065533,0.00001721219,0.000003460266,0.00006075466,0.000009197594,0.00008904567,0.0000361143,0.000419016],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2646501,"threshold_uncertainty_score":0.9999532,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04738805034589055,"score_gpt":0.1672079986483427,"score_spread":0.1198199483024522,"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."}}