{"id":"W7123235901","doi":"","title":"Topological formulation of beam dynamics : a study of quasiperiodic motion in Hamiltonian systems","year":2025,"lang":"en","type":"dissertation","venue":"Open MIND","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Quasiperiodic function; Hamiltonian (control theory); Observable; Floquet theory; Kolmogorov–Arnold–Moser theorem; Formalism (music); Hamiltonian system; Beam (structure)","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":[0.0002648575,0.0001927139,0.0006833896,0.0001531711,0.00004352188,0.0000614358,0.0003131387,0.0001661071,0.0001456438],"category_scores_gemma":[0.000008826135,0.0001710988,0.00008743673,0.0002463862,0.00001124484,0.00009709071,0.00005528846,0.0001757017,0.000004890647],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007126041,"about_ca_system_score_gemma":0.00009888262,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01276156,"about_ca_topic_score_gemma":0.007008537,"domain_scores_codex":[0.9983961,0.0000965147,0.000841826,0.0003153256,0.0002024483,0.0001478102],"domain_scores_gemma":[0.9989972,0.00005301776,0.0005535136,0.0002577377,0.0001060847,0.00003248188],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"observational","study_design_scores_codex":[0.001197914,0.01181717,0.64665,0.001513448,0.0007814284,0.00001066883,0.02306262,0.01194336,0.001543715,0.04548132,0.00002303981,0.2559754],"study_design_scores_gemma":[0.008886505,0.002815628,0.4041887,0.004443902,0.0006266912,0.000001033093,0.2550891,0.3180909,0.0009479999,0.003016046,0.000297083,0.001596391],"study_design_candidate":"observational","study_design_consensus":"observational","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9821039,0.00003115007,0.0002713349,0.000003150664,0.0003392808,0.001637318,0.0001410266,8.322638e-7,0.01547194],"genre_scores_gemma":[0.9959313,6.873473e-7,0.0000361473,2.494775e-7,0.00003321455,0.00008096734,0.001446771,0.000009948189,0.002460754],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3061476,"threshold_uncertainty_score":0.9938126,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02420515268960362,"score_gpt":0.3168482446281077,"score_spread":0.2926430919385041,"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."}}