SHADOWING PROPERTIES OF RANDOM HYPERBOLIC SETS

DOI10.1142/S0129167X12500255zbMath1253.37031OpenAlexW1964534246MaRDI QIDQ2888823

Abbas Fakhari, Ali Golmakani

Publication date: 4 June 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x12500255

zbMATH Keywords

random dynamical systemrandom shadowingrandom hyperbolic set

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Random dynamical systems (37H99)

Related Items (5)

Shadowing orbits of a class of random differential equations ⋮ 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

Cites Work

• A proof of the \(C^ 1\) stability conjecture
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Random perturbations of Axiom A basic sets
• A generalized shadowing lemma
• Shadowing in dynamical systems
• Uniform hyperbolicity for random maps with positive Lyapunov exponents
• A Shadowing Lemma Approach to Global Error Analysis for Initial Value ODEs

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