{"id":"W2031689646","doi":"10.1007/s10559-005-0088-6","title":"Stability Analysis of Stochastic Dynamic Systems under Poisson Perturbations. I. General Analysis of Stability of Solutions of Stochastic Differential Equations under Poisson Perturbations","year":2005,"lang":"en","type":"article","venue":"Cybernetics and Systems Analysis","topic":"Aquatic and Environmental Studies","field":"Earth and Planetary Sciences","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Athabasca University","funders":"","keywords":"Poisson distribution; Stability (learning theory); Mathematics; Nonlinear system; Stochastic differential equation; Exponential stability; Applied mathematics; Mean square; Lyapunov function; Differential equation; Mathematical analysis; Computer science; Statistics; Physics","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":[0.001223832,0.000719401,0.0007330788,0.001103576,0.0004551686,0.001046395,0.000964372,0.0008908079,0.001570859],"category_scores_gemma":[0.00483814,0.0002645103,0.0009300241,0.0007057092,0.001719212,0.00141516,0.001744653,0.0009324232,0.0002164776],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001172085,"about_ca_system_score_gemma":0.0007429552,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003219952,"about_ca_topic_score_gemma":0.0007970219,"domain_scores_codex":[0.9994023,0.0001715916,0.00002861048,0.0001113793,0.0002104467,0.00007580381],"domain_scores_gemma":[0.998675,0.0005951372,0.000309006,0.00005326642,0.0002878759,0.0000796387],"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":[0.00007888243,0.00002596874,0.0009884209,0.0001840537,0.00009345196,0.0003182933,0.0002092707,0.4641157,0.01882173,0.501046,0.001470804,0.01264729],"study_design_scores_gemma":[0.00000622782,0.00003611662,0.000506839,0.00001238972,0.00001214101,0.00009211045,0.00003266164,0.8967468,0.001159433,0.1006103,0.0007666131,0.00001823969],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1299807,0.002711661,0.8495374,0.00139246,0.0002404231,0.00009464339,0.0002562683,0.0001890913,0.01559733],"genre_scores_gemma":[0.9788775,0.002461177,0.01071939,0.0002206763,0.0002989163,0.00009977137,0.0001558961,0.00005953179,0.00710708],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003219952,"threshold_uncertainty_score":0.008504093,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03040674032789642,"score_gpt":0.2323477679909052,"score_spread":0.2019410276630088,"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."}}