{"id":"W2759506811","doi":"10.1016/j.jde.2017.11.011","title":"Continuation of homoclinic orbits in the suspension bridge equation: A computer-assisted proof","year":2017,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University; Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; Nederlandse Organisatie voor Wetenschappelijk Onderzoek; Government of Canada","keywords":"Homoclinic orbit; Mathematics; Computer-assisted proof; Continuation; Mathematical analysis; Contraction (grammar); Suspension (topology); Pure mathematics; Homotopy; Mathematical proof; Geometry; Bifurcation; Nonlinear system; Physics","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":[],"consensus_categories":[],"category_scores_codex":[0.00185536,0.0002180109,0.0006867051,0.0003312649,0.0003871698,0.0002002036,0.0009196058,0.0001399817,0.0001202908],"category_scores_gemma":[0.006999814,0.0001536348,0.0003799131,0.000276398,0.0001946182,0.0004732876,0.0001193129,0.0004762296,0.000005829544],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008345438,"about_ca_system_score_gemma":0.0001869727,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005711956,"about_ca_topic_score_gemma":0.0002043927,"domain_scores_codex":[0.9960618,0.0007862144,0.001768989,0.000195848,0.0009306014,0.0002565158],"domain_scores_gemma":[0.9920151,0.003050982,0.003284344,0.0007619005,0.0007962724,0.00009135007],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0008865441,0.01256396,0.01373479,0.0006311369,0.001088858,0.00008399965,0.01451177,0.0004058187,0.05034021,0.3886251,0.001701921,0.5154259],"study_design_scores_gemma":[0.005093961,0.00112762,0.4788709,0.0007800743,0.0007758049,0.00006401428,0.0003064409,0.02172531,0.00363352,0.4871263,0.00007291776,0.0004232079],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4079314,0.0000210334,0.5899695,0.0009071135,0.0006140948,0.0003983664,0.00001047227,0.000008112329,0.0001398605],"genre_scores_gemma":[0.9657883,0.000009843658,0.03365487,0.00002642997,0.0004120861,0.00001751423,0.00001366311,0.00002338155,0.00005390783],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5578569,"threshold_uncertainty_score":0.8379937,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2236590475774243,"score_gpt":0.4195524922559788,"score_spread":0.1958934446785545,"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."}}