{"id":"W3092253702","doi":"10.20944/preprints202010.0175.v1","title":"A Note on the Local Stability Theory for Caputo Fractional Planar System","year":2020,"lang":"en","type":"preprint","venue":"Preprints.org","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Focus (optics); Hopf bifurcation; Planar; Mathematics; Stability (learning theory); Bifurcation; Bifurcation theory; Applied mathematics; Equilibrium point; Mathematical analysis; Computer science; Nonlinear system; Physics; Differential equation","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001404559,0.0004235457,0.0006545057,0.00005112623,0.0002741183,0.00003573861,0.0006450377,0.0003941035,0.0003619434],"category_scores_gemma":[0.002209388,0.0003012833,0.0004495409,0.00008733061,0.0001433746,0.00004655404,0.0005658607,0.00100333,0.0004742678],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005773765,"about_ca_system_score_gemma":0.0001785148,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000803501,"about_ca_topic_score_gemma":0.00003371534,"domain_scores_codex":[0.9968026,0.0005175333,0.0008099744,0.0009836952,0.0005501178,0.0003361111],"domain_scores_gemma":[0.9938912,0.003779736,0.0005389947,0.001412392,0.0002124313,0.0001651966],"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":[0.0004600408,0.0002531759,0.001372109,0.001591044,0.0002353622,0.000003655342,0.0007662921,0.00133387,0.0007552077,0.9927513,0.00008797411,0.000389974],"study_design_scores_gemma":[0.0005111707,0.00004887034,0.003042661,0.0005507173,0.0001947769,0.000004876071,0.001014241,0.04560961,0.002430331,0.9444636,0.001595556,0.0005336319],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1475787,0.00001369754,0.843784,0.001082973,0.0008058922,0.00250377,0.0004153522,0.0003132464,0.003502401],"genre_scores_gemma":[0.9963253,0.00000233276,0.001514441,0.0001264257,0.0004229487,0.001209134,0.00009854242,0.0000652068,0.0002357301],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8487466,"threshold_uncertainty_score":0.9999439,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2144797666766312,"score_gpt":0.3820531733326648,"score_spread":0.1675734066560336,"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."}}