{"id":"W3003109023","doi":"10.3390/app10030846","title":"Stability of Traveling Waves Based upon the Evans Function and Legendre Polynomials","year":2020,"lang":"en","type":"article","venue":"Applied Sciences","topic":"Nonlinear Photonic Systems","field":"Physics and Astronomy","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Legendre polynomials; Eigenvalues and eigenvectors; Associated Legendre polynomials; Eigenfunction; Mathematics; Mathematical analysis; Nonlinear system; Stability (learning theory); Applied mathematics; Physics; Classical orthogonal polynomials; Orthogonal polynomials; Computer science; 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":[0.0006889682,0.0005559037,0.00036452,0.001491164,0.0004680275,0.0009468726,0.0004956796,0.0006487255,0.0008627701],"category_scores_gemma":[0.001772594,0.0001997019,0.0005613059,0.0005022345,0.001466663,0.001576525,0.0006869825,0.0008865049,0.00020435],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005450849,"about_ca_system_score_gemma":0.0004624711,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000721436,"about_ca_topic_score_gemma":0.000292398,"domain_scores_codex":[0.9997112,0.00009999236,0.00001248405,0.00003573013,0.00009457982,0.00004584996],"domain_scores_gemma":[0.9994068,0.0002767562,0.0000991441,0.00003903586,0.0001424205,0.0000359109],"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":[0.00007771287,0.00003060256,0.0006460987,0.00006892633,0.00002518194,0.000167078,0.000287458,0.07555492,0.04972249,0.8579094,0.000520932,0.01498918],"study_design_scores_gemma":[0.000009461671,0.00005951525,0.0004881886,0.00001981536,0.00001017118,0.000128536,0.00007475841,0.7419462,0.007294784,0.2487458,0.001177347,0.00004527867],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1662465,0.001716835,0.8170179,0.0004969498,0.0001074345,0.00005235655,0.00006891576,0.0001134296,0.01417959],"genre_scores_gemma":[0.9378663,0.001643561,0.05223911,0.00009402913,0.0001530479,0.00009184008,0.00006768944,0.00006833416,0.007776043],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.001491164,"threshold_uncertainty_score":0.003954887,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03577826771536341,"score_gpt":0.2472257884353004,"score_spread":0.2114475207199369,"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."}}