{"id":"W2045301394","doi":"10.1016/j.difgeo.2012.09.003","title":"Geometric affine symplectic curve flows in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">R</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:math>","year":2012,"lang":"lv","type":"article","venue":"Differential Geometry and its Applications","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Symplectic geometry; Mathematics; Affine transformation; Equivariant map; Invariant (physics); Ordinary differential equation; Hamiltonian (control theory); Affine geometry of curves; Mathematical analysis; Pure mathematics; Differential equation; Mathematical physics; Affine combination","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":[0.0003280565,0.0005340501,0.0003499081,0.001389095,0.001015628,0.002498919,0.0004108027,0.0004652783,0.04191488],"category_scores_gemma":[0.001057098,0.0002988857,0.0004224744,0.001167358,0.0009113251,0.003107447,0.001001073,0.001232836,0.006678544],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001064991,"about_ca_system_score_gemma":0.0005607014,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001381184,"about_ca_topic_score_gemma":0.001090162,"domain_scores_codex":[0.9997885,0.00004170835,0.00001363437,0.0000537258,0.00006888036,0.00003367395],"domain_scores_gemma":[0.9997702,0.00004620208,0.00003853817,0.00003473419,0.00006716332,0.00004310747],"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":[0.00001791633,0.00001140089,0.0001285534,0.00003488774,0.000004040926,0.0000623835,0.0001835162,0.001206229,0.0007774959,0.9669541,0.01625524,0.0143642],"study_design_scores_gemma":[0.00002265149,0.00002868851,0.0008090396,0.0000377935,0.000008119818,0.0002638624,0.0002273882,0.01186159,0.002320717,0.8717026,0.1126911,0.0000265237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1119376,0.002536915,0.3210019,0.00589082,0.001573827,0.0001494313,0.003685924,0.002219805,0.5510038],"genre_scores_gemma":[0.6189607,0.00224181,0.06205217,0.0007268389,0.000922553,0.0001159988,0.004455558,0.001969006,0.3085554],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.04191488,"threshold_uncertainty_score":0.1402193,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01747645983924156,"score_gpt":0.2482047654179096,"score_spread":0.2307283055786681,"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."}}