{"id":"W2022899676","doi":"10.1006/jsvi.1999.2895","title":"APPLICATION OF THE CENTRE MANIFOLD THEORY IN NON-LINEAR AEROELASTICITY","year":2000,"lang":"en","type":"article","venue":"Journal of Sound and Vibration","topic":"Aeroelasticity and Vibration Control","field":"Engineering","cited_by":122,"is_retracted":false,"has_abstract":false,"ca_institutions":"National Research Council Canada; University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Aeroelasticity; Mathematics; Limit cycle; Bifurcation theory; Hopf bifurcation; Ordinary differential equation; Mathematical analysis; Limit (mathematics); Center manifold; Bifurcation; Differential equation; Runge–Kutta methods; Applied mathematics; Nonlinear system; Physics; Aerodynamics; Mechanics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0006735903,0.0007988487,0.0009156535,0.001459564,0.0007155914,0.001098169,0.0008725043,0.0009201138,0.003011699],"category_scores_gemma":[0.002589441,0.0002714397,0.0009071032,0.0008234873,0.00192342,0.001653941,0.001779367,0.001820977,0.0004554401],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006555123,"about_ca_system_score_gemma":0.0005448766,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0010496,"about_ca_topic_score_gemma":0.0007924443,"domain_scores_codex":[0.9997227,0.0001178278,0.00001289902,0.00004417918,0.0000812385,0.00002122131],"domain_scores_gemma":[0.9993328,0.0003003835,0.00005583936,0.0000692438,0.0001768803,0.00006468046],"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":[0.00002402612,0.00002571676,0.0001839765,0.00009387024,0.00002549727,0.00008850999,0.0001450806,0.02505314,0.002303601,0.9521338,0.001214716,0.01870796],"study_design_scores_gemma":[0.000008189577,0.00003543636,0.0003457356,0.00001968613,0.000009736871,0.00006609887,0.00004725833,0.2275344,0.0006592319,0.7654424,0.005812056,0.00001983632],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02873686,0.003287563,0.9298192,0.001290805,0.0009042269,0.00003358405,0.00006415656,0.0001665803,0.03569688],"genre_scores_gemma":[0.8335637,0.004876422,0.1362863,0.0003172593,0.001948142,0.0001344327,0.0001060667,0.0002650333,0.02250264],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003011699,"threshold_uncertainty_score":0.01007515,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004745130168575975,"score_gpt":0.1963151526580065,"score_spread":0.1915700224894305,"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."}}