{"id":"W174142161","doi":"10.4310/maa.2000.v7.n1.a10","title":"A topological approach to stability of pulses bifurcating from an inclination-flip homoclinic orbit","year":2000,"lang":"en","type":"article","venue":"Methods and Applications of Analysis","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"Brown University","keywords":"Homoclinic orbit; Mathematics; Flip; Orbit (dynamics); Heteroclinic orbit; Stability (learning theory); Topology (electrical circuits); Homoclinic bifurcation; Mathematical analysis; Pure mathematics; Bifurcation; Combinatorics; Physics; Computer science; Nonlinear system; Quantum mechanics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007772188,0.0001037756,0.0004733057,0.0000942484,0.00009318193,0.00001966967,0.0001862113,0.00004765403,0.0007094779],"category_scores_gemma":[0.00001959557,0.00008367565,0.0001782471,0.0009719023,0.00009513985,0.00005337017,0.00004061691,0.00007230297,0.000002053238],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000006826147,"about_ca_system_score_gemma":0.00001391858,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003031418,"about_ca_topic_score_gemma":0.0000162762,"domain_scores_codex":[0.998635,0.000240698,0.0005478226,0.0003509383,0.0001117998,0.0001137411],"domain_scores_gemma":[0.9988021,0.0003703106,0.0001737103,0.0004459247,0.0001008369,0.0001071093],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00002393213,0.001383253,0.225699,0.00002676122,0.0006815309,1.912582e-8,0.0007202898,0.001229908,0.003790516,0.04843137,0.000003643302,0.7180098],"study_design_scores_gemma":[0.001085057,0.0004072033,0.34136,0.00003566867,0.003737256,3.461954e-7,0.008154115,0.4315106,0.01433925,0.1948005,0.003455923,0.001114137],"study_design_candidate":"design_other","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5513323,0.00003482031,0.4460117,0.00004108393,0.000002227039,0.0001460674,0.00009829986,0.000006980997,0.002326559],"genre_scores_gemma":[0.8171475,0.000003725174,0.1825237,0.00001114047,0.00005738076,0.0001107481,0.0001071427,0.000004268627,0.00003435973],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7168956,"threshold_uncertainty_score":0.7768286,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03048291893734341,"score_gpt":0.3900603631893214,"score_spread":0.359577444251978,"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."}}