{"id":"W2883726361","doi":"10.1063/1.5026551","title":"The variation of invariant graphs in forced systems","year":2018,"lang":"en","type":"article","venue":"Chaos An Interdisciplinary Journal of Nonlinear Science","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Topological entropy; Lipschitz continuity; Lyapunov exponent; sync; Skew; Markov chain; Ergodic theory; Bounded variation; Invariant (physics); Bounded function; Differentiable function; Topology (electrical circuits); Discrete mathematics; Pure mathematics; Mathematical analysis; Computer science; Chaotic; Combinatorics","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":[0.004318514,0.0001073363,0.0002919413,0.0002680055,0.0003101389,0.0001097147,0.0008678028,0.00004793579,0.00001684422],"category_scores_gemma":[0.0006154376,0.00006243176,0.00008705044,0.0005797367,0.000689853,0.0004827899,0.0003143302,0.0001890823,0.000003452922],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005961804,"about_ca_system_score_gemma":0.0001623103,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000578625,"about_ca_topic_score_gemma":0.00002918333,"domain_scores_codex":[0.9980395,0.00007765041,0.0009499074,0.0001473603,0.0005468388,0.0002387442],"domain_scores_gemma":[0.9976928,0.0004063177,0.000792428,0.0003498378,0.0006430295,0.0001155731],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0003735294,0.001123491,0.0004171932,0.0002651241,0.00006325606,0.00005325075,0.02252008,0.0001459017,0.04307078,0.9286225,0.0001341741,0.003210755],"study_design_scores_gemma":[0.0004844727,0.001353701,0.003057475,0.0005967073,0.0000233173,0.000239402,0.00307896,0.5148376,0.0007985571,0.475346,0.00002918924,0.0001546528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9725766,0.00003462105,0.02499924,0.0003009394,0.000643006,0.0001847671,0.000005758492,0.000005675173,0.001249363],"genre_scores_gemma":[0.9894769,0.00001153643,0.01026952,0.000008079855,0.0001698775,0.000002089067,2.657825e-7,0.000009790152,0.00005198878],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5146917,"threshold_uncertainty_score":0.2545893,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03951446026963157,"score_gpt":0.3688397017994362,"score_spread":0.3293252415298046,"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."}}