{"id":"W2012615876","doi":"10.1155/2008/745242","title":"On Using Curvature to Demonstrate Stability","year":2008,"lang":"en","type":"article","venue":"International Journal of Differential Equations","topic":"Control and Stability of Dynamical Systems","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Curvature; Bounded function; Periodic orbits; Mathematics; Ordinary differential equation; Stability (learning theory); Mathematical analysis; Set (abstract data type); Amplitude; Differential (mechanical device); Differential equation; Physics; Geometry; Computer science","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":[0.002609955,0.001193471,0.0006938051,0.002288711,0.001545416,0.00186113,0.00127915,0.001013066,0.002908299],"category_scores_gemma":[0.005580703,0.0005008739,0.00133939,0.000537801,0.005994398,0.003863874,0.006157303,0.003284423,0.0007942292],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00149165,"about_ca_system_score_gemma":0.0006911561,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001497373,"about_ca_topic_score_gemma":0.0007321157,"domain_scores_codex":[0.9979393,0.0008146457,0.00008268742,0.0002130206,0.000769374,0.000181054],"domain_scores_gemma":[0.9969547,0.001142252,0.0003388588,0.0006642792,0.0006806823,0.0002192724],"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":[0.00004312822,0.00001909874,0.0005625182,0.00007637281,0.00003053854,0.0002943773,0.0005690464,0.01108632,0.02382653,0.9493501,0.001214948,0.01292708],"study_design_scores_gemma":[0.0000307526,0.0002380808,0.001127535,0.00009915301,0.00003303353,0.0008326822,0.0002314373,0.1038204,0.02843141,0.8320414,0.03298756,0.0001265606],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06289025,0.002408872,0.8525869,0.003189377,0.0004414167,0.0001102928,0.00007572086,0.0007171798,0.07757992],"genre_scores_gemma":[0.7855106,0.001926883,0.1938824,0.0008492826,0.0002706546,0.0002424559,0.000107073,0.0005077727,0.01670296],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002908299,"threshold_uncertainty_score":0.01380295,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03246270843285506,"score_gpt":0.2571294605189027,"score_spread":0.2246667520860477,"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."}}