{"id":"W1996324887","doi":"10.1142/s0218127404010837","title":"DYNAMICS OF PIECEWISE LINEAR DISCONTINUOUS MAPS","year":2004,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Chaos control and synchronization","field":"Physics and Astronomy","cited_by":36,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Chicoutimi","funders":"Hungarian Science Foundation; National Science Foundation","keywords":"Quasiperiodic function; Attractor; Mathematics; Lyapunov exponent; Piecewise linear function; Piecewise; Chaotic; Orbit (dynamics); Bilinear interpolation; Zero (linguistics); Mathematical analysis; Statistical physics; Physics; Computer science","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":[0.0001555045,0.0002434581,0.0002448642,0.0004239163,0.0002808197,0.0007983236,0.0003352398,0.0002924485,0.001512874],"category_scores_gemma":[0.0008457321,0.0001300994,0.0002405449,0.0001943929,0.0006396747,0.0006582051,0.000468262,0.0003063292,0.0001224143],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003988403,"about_ca_system_score_gemma":0.0001994857,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00104568,"about_ca_topic_score_gemma":0.0003977098,"domain_scores_codex":[0.9999104,0.000018787,0.000004850118,0.00001608621,0.00003365606,0.00001629332],"domain_scores_gemma":[0.9996635,0.0001139479,0.00007852226,0.00004485915,0.00005733925,0.00004182138],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000587602,0.0001386929,0.009943844,0.0002575352,0.0001294637,0.001601207,0.00132684,0.6369361,0.135084,0.1707077,0.0007149192,0.04257208],"study_design_scores_gemma":[0.00001736498,0.0001444477,0.001746694,0.00001134057,0.00001598442,0.0002382927,0.0001618465,0.9683601,0.00714049,0.02086095,0.001283586,0.0000189053],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8725746,0.0002391004,0.1217773,0.0001091895,0.0000324857,0.0000323885,0.00006368257,0.0001855546,0.004985632],"genre_scores_gemma":[0.9954112,0.00007770507,0.003331193,0.000008182574,0.000005282624,0.00001273861,0.00002361847,0.000006685509,0.001123332],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001512874,"threshold_uncertainty_score":0.00506109,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004233520120988037,"score_gpt":0.2347735491603112,"score_spread":0.2305400290393231,"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."}}