{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001036401,0.001257497,0.0008741311,0.001687305,0.001212337,0.001520889,0.001269658,0.001434299,0.009056278],"category_scores_gemma":[0.004363546,0.0003829797,0.001691335,0.0005810966,0.002659506,0.002006757,0.003008752,0.0029124,0.0007327792],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006997004,"about_ca_system_score_gemma":0.001446393,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002469637,"about_ca_topic_score_gemma":0.002280774,"domain_scores_codex":[0.9998342,0.00003836989,0.00001359775,0.00002934216,0.00006403711,0.00002054681],"domain_scores_gemma":[0.9988407,0.0006449562,0.00009561483,0.00008385003,0.0002383359,0.00009653233],"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":[0.00009068385,0.0001713152,0.001191491,0.0003709677,0.00005813744,0.001130713,0.0008092985,0.02353228,0.008146947,0.9317054,0.004367927,0.02842492],"study_design_scores_gemma":[0.00009843514,0.0001049274,0.001265467,0.0001093854,0.00004025721,0.0004681988,0.0003582627,0.3011636,0.002247557,0.6888877,0.005197584,0.00005868135],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2729065,0.00105297,0.6299546,0.002249419,0.0006163945,0.0003835059,0.0004670572,0.000632149,0.09173751],"genre_scores_gemma":[0.8510193,0.001784652,0.1156636,0.0005343867,0.0003404174,0.000332735,0.0004634628,0.0004162608,0.02944512],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009056278,"threshold_uncertainty_score":0.03029627,"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."}}