{"id":"W1984567683","doi":"10.1016/j.cnsns.2006.11.003","title":"On the study of globally exponentially attractive set of a general chaotic system","year":2006,"lang":"en","type":"article","venue":"Communications in Nonlinear Science and Numerical Simulation","topic":"Chaos control and synchronization","field":"Physics and Astronomy","cited_by":19,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Lorenz system; Chaotic; Bounded function; Exponential growth; Mathematics; Applied mathematics; Chaotic systems; Exponential function; Invariant (physics); Chen; Set (abstract data type); Mathematical analysis; Computer science; Attractor; Mathematical physics; Artificial intelligence","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":[0.0006194273,0.0006254594,0.0008004382,0.001162032,0.0009093977,0.001177904,0.0009556518,0.001040456,0.001799399],"category_scores_gemma":[0.002621017,0.0002775627,0.0007432307,0.0005389667,0.001753148,0.001641451,0.001589855,0.001139425,0.0001014173],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005551378,"about_ca_system_score_gemma":0.0004873819,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001351587,"about_ca_topic_score_gemma":0.0006530119,"domain_scores_codex":[0.9997388,0.0001039729,0.00000943692,0.00004250198,0.00007541286,0.000029944],"domain_scores_gemma":[0.9990374,0.0005583316,0.0001309873,0.00003346451,0.0001290278,0.0001108198],"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":[0.00006747697,0.00004899443,0.001312068,0.0002308653,0.0000842042,0.0005708473,0.0006218971,0.1249014,0.006372065,0.8584961,0.001553191,0.005741013],"study_design_scores_gemma":[0.00002399194,0.00008526519,0.001005805,0.00002902648,0.00002474224,0.0001988705,0.0001556575,0.6628104,0.0004482274,0.3334912,0.001692307,0.0000344677],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5395314,0.003878886,0.398008,0.003033275,0.0004134247,0.0001034062,0.0002267458,0.0001168651,0.05468801],"genre_scores_gemma":[0.9765539,0.001450909,0.01255562,0.000163216,0.0003075409,0.00007583159,0.0001149045,0.00005142741,0.008726536],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001799399,"threshold_uncertainty_score":0.006019592,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02705529220366899,"score_gpt":0.3117051062409218,"score_spread":0.2846498140372528,"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."}}