TOPOLOGICAL EQUIVALENCE FOR DISCONTINUOUS RANDOM DYNAMICAL SYSTEMS AND APPLICATIONS

DOI10.1142/S021949371350007XzbMath1296.60157arXiv1210.0675OpenAlexW2963513105MaRDI QIDQ5414170

Huijie Qiao, Jin-qiao Duan

Publication date: 2 May 2014

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0675

zbMATH Keywords

random attractorsMarcus stochastic differential equationsconjugacy or topological equivalencediscontinuous cocyclesLevy processes for two-sided timestochastic Hartman-Grobman theorem

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability of topological dynamical systems (37B25) Normal forms for dynamical systems (37G05)

Related Items (6)

Measurability of random attractors for quasi strong-to-weak continuous random dynamical systems ⋮ Stationary solutions for stochastic differential equations driven by Lévy processes ⋮ Dynamics of the stochastic low concentration trimolecular oscillatory chemical system with jumps ⋮ LONG TIME BEHAVIOR OF STOCHASTIC MHD EQUATIONS PERTURBED BY MULTIPLICATIVE NOISES ⋮ Limiting dynamics for stochastic FitzHugh–Nagumo equations on large domains ⋮ Ergodicity and bifurcations for stochastic logistic equation with non-Gaussian Lévy noise

Cites Work

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• Lyapunov exponents for nonlinear systems with Poisson white noise
• THE COHOMOLOGY OF STOCHASTIC AND RANDOM DIFFERENTIAL EQUATIONS, AND LOCAL LINEARIZATION OF STOCHASTIC FLOWS
• Stationary Conjugation of Flows for Parabolic SPDEs with Multiplicative Noise and Some Applications
• Lévy Processes and Stochastic Calculus
• Modeling and approximation of stochastic differential equations driven by semimartingales^†
• Random attractors for the 3d stochastic navier-stokes equation with multiplicative white noise
• Almost Sure Stability of Linear Stochastic Systems with Poisson Process Coefficients
• Stochastic Partial Differential Equations with Levy Noise
• The conjugacy of stochastic and random differential equations and the existence of global attractors

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