Shadowing orbits of stochastic differential equations

DOI10.22436/JNSA.009.05.07zbMath1332.65014OpenAlexW2789919652MaRDI QIDQ2792638

Qingyi Zhan

Publication date: 14 March 2016

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: http://www.tjnsa.com/includes/files/articles/Vol9_Iss5_2006--2018_Shadowing_orbits_of_stochastic_diff.pdf

zbMATH Keywords

stochastic differential equationsstochastic Lorenz systemshadowingrandom dynamical systemmultiplicative ergodic theorem

Mathematics Subject Classification ID

Generation, random and stochastic difference and differential equations (37H10) Numerical solutions to stochastic differential and integral equations (65C30) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Numerical chaos (65P20)

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Numerical study on \((\omega,L\delta)\)-Lipschitz shadowing of stochastic differential equations ⋮ Dynamical analysis in explicit continuous iteration algorithm and its applications ⋮ Numerical study of random periodic Lipschitz shadowing of stochastic differential equations ⋮ Numerical implementation of finite-time shadowing of stochastic differential equations ⋮ Numerical implementation of finite-time shadowing of stochastic differential equations ⋮ Stochastic shadowing analysis of a class of stochastic differential equations ⋮ Numerical study on Zika epidemic early warning algorithms driven by dynamical network biomarker

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