{"id":"W3012097193","doi":"10.1017/s0956792520000066","title":"Hopf bifurcation from spike solutions for the weak coupling Gierer–Meinhardt system","year":2020,"lang":"en","type":"article","venue":"European Journal of Applied Mathematics","topic":"Nonlinear Dynamics and Pattern Formation","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Hopf bifurcation; Mathematics; Limit (mathematics); Limit cycle; Transcritical bifurcation; Mathematical analysis; Biological applications of bifurcation theory; Pitchfork bifurcation; Bifurcation diagram; Saddle-node bifurcation; Period-doubling bifurcation; Infinite-period bifurcation; Bifurcation; Bifurcation theory; Physics; Nonlinear system; 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":[0.0004130835,0.0004480928,0.0005086741,0.0008273172,0.0007507996,0.0009587283,0.0005783461,0.001205065,0.001567091],"category_scores_gemma":[0.001435254,0.0001834183,0.0004292375,0.0004492429,0.001113095,0.0007370741,0.00102024,0.0006404988,0.0001835856],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007990553,"about_ca_system_score_gemma":0.0004734369,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001286832,"about_ca_topic_score_gemma":0.0005762837,"domain_scores_codex":[0.9998796,0.00003145558,0.000008477361,0.00002135426,0.00003906815,0.00002004347],"domain_scores_gemma":[0.999745,0.00008524213,0.0000682981,0.0000140028,0.00004335424,0.00004414306],"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":[0.0001186962,0.00003701595,0.00219898,0.0001711784,0.00007692965,0.001094514,0.0006603754,0.1024606,0.05348298,0.8255096,0.001141599,0.01304758],"study_design_scores_gemma":[0.00005413638,0.0000850993,0.001863409,0.00002905413,0.00002322821,0.0005375284,0.0001868378,0.6605338,0.005927619,0.3293707,0.00131932,0.00006926731],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8574106,0.001340658,0.1195997,0.0008053807,0.00009449395,0.00004640453,0.00008034218,0.00009099917,0.02053155],"genre_scores_gemma":[0.9886007,0.0003750167,0.007127498,0.00005604289,0.0000235285,0.00003501931,0.00003627969,0.00001128755,0.003734577],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001567091,"threshold_uncertainty_score":0.005797625,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04013912125722308,"score_gpt":0.2202199178467856,"score_spread":0.1800807965895625,"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."}}