{"id":"W2059027118","doi":"10.1016/j.camwa.2012.01.057","title":"On difference equations with asymptotically stable 2-cycles perturbed by a decaying noise","year":2012,"lang":"en","type":"article","venue":"Computers & Mathematics with Applications","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Hopf bifurcation; Period-doubling bifurcation; Perturbation (astronomy); Bifurcation; Infinite-period bifurcation; Saddle-node bifurcation; Biological applications of bifurcation theory; Stability (learning theory); Mathematical analysis; Applied mathematics; Noise (video); Nonlinear system; Physics","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":[0.0003020347,0.0002412417,0.0004812671,0.00006353886,0.0002559016,0.00002051099,0.000160063,0.000128992,0.0001278984],"category_scores_gemma":[0.000161019,0.0001460102,0.00005867312,0.0001962702,0.0003713517,0.00006173466,0.00004627521,0.0002779466,0.0001584395],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000402785,"about_ca_system_score_gemma":0.00005347582,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001763921,"about_ca_topic_score_gemma":9.069198e-7,"domain_scores_codex":[0.9986379,0.00004283115,0.0003545644,0.0002801485,0.0002048957,0.0004796796],"domain_scores_gemma":[0.9963993,0.002479689,0.0001258368,0.0005009071,0.00009671073,0.0003975428],"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":[0.00006597455,0.001519293,0.0005967793,0.0001763234,0.0001159253,0.000001118214,0.0003457595,0.00009584162,0.0001904165,0.9956882,0.0003651073,0.0008392823],"study_design_scores_gemma":[0.004208195,0.001907594,0.003909059,0.001315081,0.00133819,0.0003664829,0.0004421144,0.4730105,0.0009140952,0.5097722,0.001520474,0.001296036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04235882,0.00006717256,0.9476708,0.00180351,0.00001595794,0.0008617951,0.00000979381,0.0001316853,0.007080423],"genre_scores_gemma":[0.8403215,0.000009425564,0.1572522,0.001335841,0.00005069917,0.0005750371,0.00004103061,0.00002915495,0.0003851179],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7979627,"threshold_uncertainty_score":0.5954124,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02229253839221608,"score_gpt":0.2723270001685866,"score_spread":0.2500344617763706,"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."}}