{"id":"W2076273493","doi":"10.1016/s0167-2789(03)00097-6","title":"Continuation of periodic orbits in conservative and Hamiltonian systems","year":2003,"lang":"en","type":"article","venue":"Physica D Nonlinear Phenomena","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":132,"is_retracted":false,"has_abstract":false,"ca_institutions":"Concordia University","funders":"","keywords":"Continuation; Integrable system; Hamiltonian system; Homogeneous space; Hamiltonian (control theory); Mathematics; Nonlinear system; Periodic orbits; Mathematical analysis; Classical mechanics; Physics; Computer science; Geometry; Quantum mechanics; Mathematical optimization","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":[0.0007129782,0.0004924379,0.0004325507,0.001446465,0.00124147,0.001657622,0.0006135935,0.0006365008,0.003120573],"category_scores_gemma":[0.00364713,0.0002653719,0.0003991779,0.0005899056,0.001946833,0.001870954,0.001188215,0.0009236319,0.0001826313],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009671214,"about_ca_system_score_gemma":0.0007049429,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00138111,"about_ca_topic_score_gemma":0.001118177,"domain_scores_codex":[0.9998677,0.00003830313,0.000007576801,0.00001365958,0.00004783907,0.0000249458],"domain_scores_gemma":[0.999239,0.0003483443,0.000119787,0.0000570274,0.00008571103,0.0001500192],"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":[0.00008715158,0.00004562953,0.0004942208,0.00003961036,0.000008140671,0.0002236278,0.0005833763,0.007245437,0.001545906,0.984759,0.0006309134,0.004336932],"study_design_scores_gemma":[0.00003900281,0.00002925943,0.0004132659,0.00001573015,0.000004478622,0.00008561136,0.0001472883,0.0353579,0.0001901631,0.962696,0.001012037,0.000009351091],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8687805,0.0009983054,0.07553514,0.0009983458,0.0001623103,0.00006611028,0.0001243255,0.0001369399,0.05319809],"genre_scores_gemma":[0.9777852,0.0005234712,0.01111998,0.0000745621,0.0001411603,0.00004910408,0.0001039486,0.0000350755,0.01016754],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003120573,"threshold_uncertainty_score":0.01043934,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01031490622951438,"score_gpt":0.2316049323785637,"score_spread":0.2212900261490493,"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."}}