{"id":"W1918819982","doi":"10.1007/s00332-011-9111-4","title":"Dynamics of Simple Balancing Models with Time-Delayed Switching Feedback Control","year":2011,"lang":"en","type":"article","venue":"Journal of Nonlinear Science","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Aperiodic graph; Control theory (sociology); Inverted pendulum; Periodic orbits; Simple (philosophy); Pendulum; Dynamics (music); Coincidence; Function (biology)","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":[0.0008477414,0.0001075977,0.0003593934,0.0001439308,0.0001029842,0.00002692424,0.0003793722,0.00003639626,0.00002369991],"category_scores_gemma":[0.0002335228,0.00007010951,0.00007874555,0.0003597098,0.0001366918,0.0005696347,0.00003846174,0.0001646932,0.000002467647],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008823677,"about_ca_system_score_gemma":0.0001910212,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000312917,"about_ca_topic_score_gemma":0.0000300696,"domain_scores_codex":[0.9984263,0.00003177062,0.0006120394,0.0001236909,0.0005898078,0.0002163735],"domain_scores_gemma":[0.9981397,0.0001700424,0.0007961913,0.0001981406,0.0005628107,0.0001331303],"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":[0.003952274,0.005200408,0.01359905,0.0007175335,0.0009139299,0.0002251168,0.01400824,0.1363473,0.2643511,0.5174509,0.0001088586,0.04312537],"study_design_scores_gemma":[0.0007181586,0.0003167278,0.0001964334,0.00009688985,0.00004319371,0.00005665349,0.0001968531,0.9210841,0.0004429958,0.07675109,0.000001664712,0.00009523939],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4053321,0.000007470283,0.5940375,0.00002231734,0.00004456616,0.00006852182,0.000007586842,0.000006774692,0.0004731688],"genre_scores_gemma":[0.8262557,0.000001779968,0.1736496,0.00001173683,0.00004395953,4.766773e-7,4.259785e-7,0.00001017721,0.00002612912],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7847368,"threshold_uncertainty_score":0.2858983,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02851472567765807,"score_gpt":0.2794866600597936,"score_spread":0.2509719343821356,"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."}}