{"id":"W1966340509","doi":"10.1063/1.3404774","title":"Chaotic and stable perturbed maps: 2-cycles and spatial models","year":2010,"lang":"en","type":"article","venue":"Chaos An Interdisciplinary Journal of Nonlinear Science","topic":"Chaos control and synchronization","field":"Physics and Astronomy","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Logistic map; Chaotic; Mathematics; Perturbation (astronomy); Period-doubling bifurcation; Generalization; Constant (computer programming); Scalar (mathematics); Statistical physics; Applied mathematics; Nonlinear system; Computer science; Bifurcation; Mathematical analysis; Physics; Geometry; Artificial intelligence","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0004980685,0.0001324534,0.0002128109,0.0001606374,0.0004245104,0.0002053638,0.0002802153,0.00003066198,0.00008042985],"category_scores_gemma":[0.00001153114,0.0001005954,0.00004555386,0.0001374653,0.0004494541,0.001171292,0.0003157797,0.0002832594,0.000001763697],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000136566,"about_ca_system_score_gemma":0.0001494305,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003657672,"about_ca_topic_score_gemma":0.0000339285,"domain_scores_codex":[0.9989735,0.00001984553,0.0003036079,0.000224826,0.0002525409,0.0002256237],"domain_scores_gemma":[0.9991077,0.00003424925,0.0002076483,0.0001621069,0.0002465685,0.0002417815],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0005848286,0.001616183,0.0606479,0.0001148764,0.0001537756,0.00007329664,0.03098943,0.00257929,0.3326124,0.0207127,0.0001721252,0.5497432],"study_design_scores_gemma":[0.001591702,0.0007517104,0.0155351,0.0001211741,0.00004843326,0.0002206661,0.004125031,0.9382296,0.002810331,0.0360451,0.0001451579,0.000376066],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9765222,0.00007262159,0.02200529,0.0004566605,0.0003934322,0.00007784898,0.00001786761,0.000006376602,0.0004476809],"genre_scores_gemma":[0.9959632,0.000007699647,0.003144513,0.0000180509,0.0007929609,0.000001196209,0.000003725966,0.00001023003,0.00005849678],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9356502,"threshold_uncertainty_score":0.4102163,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01178745034069989,"score_gpt":0.2835688231532379,"score_spread":0.271781372812538,"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."}}