{"id":"W2121324809","doi":"10.4208/cicp.240912.180613a","title":"Numerical Bifurcation Methods and Their Application to Fluid Dynamics: Analysis Beyond Simulation","year":2013,"lang":"en","type":"article","venue":"Communications in Computational Physics","topic":"Nonlinear Dynamics and Pattern Formation","field":"Computer Science","cited_by":187,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University","funders":"","keywords":"Jacobian matrix and determinant; Dynamical systems theory; Bifurcation; Numerical analysis; Current (fluid); Computation; Computer science; Bifurcation theory; Applied mathematics; Mathematics; Statistical physics; Nonlinear system; Physics; Mathematical analysis; Algorithm","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":[0.002039048,0.0007697505,0.0008765541,0.001879193,0.0006699156,0.001964911,0.0008212685,0.001414842,0.00300426],"category_scores_gemma":[0.005882025,0.0004647738,0.0008149869,0.001365264,0.002849992,0.001613172,0.002204633,0.002044658,0.0009076206],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006623343,"about_ca_system_score_gemma":0.0007489403,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008627389,"about_ca_topic_score_gemma":0.0005198578,"domain_scores_codex":[0.9990289,0.0004191572,0.0000680533,0.0000714475,0.0003772913,0.00003518988],"domain_scores_gemma":[0.9972432,0.002013037,0.000170724,0.0002483412,0.000259071,0.00006574862],"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":[0.00002042134,0.00004213795,0.0006095545,0.0005869538,0.00005111437,0.0001042898,0.0002477478,0.1407419,0.005603905,0.7844527,0.002046905,0.06549234],"study_design_scores_gemma":[0.00001248938,0.00002355933,0.000221484,0.0002088659,0.000009859351,0.00008909021,0.00003569814,0.554269,0.001702185,0.4223039,0.02109619,0.00002765788],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.004148515,0.01441542,0.9703761,0.001122349,0.0003221177,0.00006267692,0.00003103946,0.0001866888,0.009335201],"genre_scores_gemma":[0.2077956,0.03600819,0.7455572,0.000432594,0.001374178,0.0005472993,0.00009773815,0.0002792342,0.007907927],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.00300426,"threshold_uncertainty_score":0.01078361,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02377112296580966,"score_gpt":0.3561731105974928,"score_spread":0.3324019876316831,"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."}}