{"id":"W4408444160","doi":"10.1063/5.0239017","title":"Bifurcations and collective states of Kuramoto oscillators with higher-order interactions and rotational symmetry breaking","year":2025,"lang":"en","type":"article","venue":"Chaos An Interdisciplinary Journal of Nonlinear Science","topic":"Nonlinear Dynamics and Pattern Formation","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; Western University","funders":"Conselho Nacional de Desenvolvimento Científico e Tecnológico; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Ansatz; Bifurcation; Kuramoto model; Symmetry breaking; Physics; Statistical physics; Curse of dimensionality; Population; Oscillation (cell signaling); Collective behavior; Instability; Classical mechanics; Symmetry (geometry); Codimension; Mathematics; Mathematical analysis; Nonlinear system; Topology (electrical circuits); Synchronization (alternating current); Geometry; Mechanics; Quantum mechanics","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":[0.0002685671,0.0002993043,0.0004173852,0.000389852,0.00044452,0.0006267202,0.0004043128,0.0005360756,0.0008324751],"category_scores_gemma":[0.0009796947,0.0001967823,0.0005284283,0.0001996975,0.0008259471,0.0006159545,0.0007518188,0.0004702209,0.0001104269],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003299146,"about_ca_system_score_gemma":0.0002510872,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001336258,"about_ca_topic_score_gemma":0.0007671641,"domain_scores_codex":[0.9998626,0.00004563468,0.000008406851,0.00002258998,0.00002854694,0.00003210139],"domain_scores_gemma":[0.999655,0.0000873629,0.0001471728,0.00004011363,0.00002524926,0.00004506089],"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":[0.0001533195,0.000117882,0.007424045,0.00009751866,0.0001785209,0.001300927,0.0006719877,0.6737294,0.08724143,0.2223204,0.0005635385,0.006201144],"study_design_scores_gemma":[0.00003778366,0.00005302007,0.001725431,0.00000781314,0.00002323539,0.0001139492,0.00008408164,0.9718935,0.00224521,0.02334809,0.0004518782,0.00001606178],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9578013,0.000154089,0.03765026,0.0001614366,0.00001707282,0.00001502154,0.00002109982,0.00004572581,0.004133924],"genre_scores_gemma":[0.9961994,0.00005582594,0.003051277,0.00001267006,0.000007233179,0.00002095117,0.0000150729,0.000005714461,0.0006317899],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001336258,"threshold_uncertainty_score":0.002784908,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009872757261646992,"score_gpt":0.3092333115873818,"score_spread":0.2993605543257348,"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."}}