{"id":"W4409888880","doi":"10.1007/978-3-031-84977-0_6","title":"Hamiltonian Systems","year":2025,"lang":"en","type":"book-chapter","venue":"Sureys and tutorials in the applied mathematical sciences","topic":"Control and Stability of Dynamical Systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Hamiltonian system; Computer science; Physics; Philosophy; Mathematical physics","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":[0.0001912733,0.0005516814,0.0004288013,0.0005934691,0.000630093,0.001691677,0.0004212431,0.0006092936,0.02477791],"category_scores_gemma":[0.0005109125,0.0002140246,0.0002463632,0.0005627354,0.00117736,0.001414053,0.0009432107,0.001272968,0.00478606],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006706841,"about_ca_system_score_gemma":0.0004686154,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001142778,"about_ca_topic_score_gemma":0.001431088,"domain_scores_codex":[0.9998451,0.00003799329,0.000005140645,0.00003248489,0.00006104014,0.00001820717],"domain_scores_gemma":[0.999907,0.00002650445,0.000006416052,0.00001766274,0.00002978557,0.00001259831],"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":[0.00000492129,0.000009871444,0.00005590788,0.00004515278,0.000006815867,0.00002516404,0.0001036808,0.0009209542,0.0004430293,0.9570749,0.02117065,0.02013876],"study_design_scores_gemma":[0.000005864772,0.00001316229,0.0002291729,0.00003821482,0.00000423872,0.00007205951,0.00005890869,0.002344653,0.0002343862,0.8139043,0.1830869,0.0000081171],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.007863425,0.02130892,0.08598752,0.00299965,0.001972883,0.00006776352,0.0007405226,0.0003592884,0.8787001],"genre_scores_gemma":[0.2641072,0.0223893,0.04242316,0.002330741,0.002575074,0.000261742,0.00161176,0.0003028585,0.6639982],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.02477791,"threshold_uncertainty_score":0.08289039,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0128550917126618,"score_gpt":0.2114513451171885,"score_spread":0.1985962534045267,"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."}}