{"id":"W2064534817","doi":"10.1007/s10884-004-6114-y","title":"Stability and Synchronization of a Ring of Identical Cells with Delayed Coupling","year":2004,"lang":"en","type":"article","venue":"Journal of Dynamics and Differential Equations","topic":"Nonlinear Dynamics and Pattern Formation","field":"Computer Science","cited_by":84,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo; Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Ordinary differential equation; Coupling (piping); Linear stability; Stability (learning theory); Mathematical analysis; Delay differential equation; Scalar (mathematics); Bifurcation; Ring (chemistry); Nonlinear system; Partial differential equation; Synchronization (alternating current); Parameter space; Center manifold; Control theory (sociology); Differential equation; Topology (electrical circuits); Physics; Hopf bifurcation; Geometry; Combinatorics; Quantum mechanics; Computer science; Chemistry","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":[0.0006062227,0.000312103,0.0006432388,0.0005048693,0.0005316488,0.000809467,0.001132064,0.0007993288,0.001415013],"category_scores_gemma":[0.002491551,0.0003331777,0.0003509379,0.0002548769,0.001017959,0.0007107239,0.001165934,0.0003551893,0.0002644523],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005175153,"about_ca_system_score_gemma":0.0004274395,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000968936,"about_ca_topic_score_gemma":0.0004107927,"domain_scores_codex":[0.999768,0.00005559792,0.00001170127,0.00007466387,0.00005308643,0.000037113],"domain_scores_gemma":[0.9988249,0.0004311831,0.0002677004,0.0001064585,0.0002040297,0.0001656496],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.001814414,0.0002142835,0.007938758,0.0001947205,0.0002838651,0.001170533,0.0008226235,0.5725326,0.2186427,0.1709511,0.001288897,0.02414551],"study_design_scores_gemma":[0.00007413121,0.0001797893,0.001360191,0.000005996762,0.00003259784,0.000130489,0.00005899032,0.9793687,0.007173377,0.01118979,0.0004008562,0.00002508074],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.863113,0.0003493204,0.1304949,0.0002536631,0.0001034521,0.00003839798,0.00008211192,0.0001018154,0.005463373],"genre_scores_gemma":[0.994439,0.00006521278,0.003707317,0.00001234229,0.00001823496,0.00001769488,0.00002395669,0.00001070244,0.001705578],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001415013,"threshold_uncertainty_score":0.004733682,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00962238302145654,"score_gpt":0.2247902708865287,"score_spread":0.2151678878650721,"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."}}