RANDOM ATTRACTORS OF STOCHASTIC LATTICE DYNAMICAL SYSTEMS DRIVEN BY FRACTIONAL BROWNIAN MOTIONS

DOI10.1142/S0218127413500417zbMath1270.37040arXiv1408.6128OpenAlexW3124926583MaRDI QIDQ2845165

Anhui Gu

Publication date: 22 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.6128

zbMATH Keywords

fractional Brownian motionrandom dynamical systemsrandom attractorstochastic lattice dynamical system

Mathematics Subject Classification ID

Ordinary differential equations and systems with randomness (34F05) Generation, random and stochastic difference and differential equations (37H10) Attractors of solutions to ordinary differential equations (34D45) Ordinary lattice differential equations (34A33)

Related Items (9)

Existence of random attractors for a class of second-order lattice dynamical systems with Brownian motions ⋮ Uniform attractors for a class of stochastic evolution equations with multiplicative fractional noise ⋮ A Combined Criterion for Existence and Continuity of Random Attractors for Stochastic Lattice Dynamical Systems ⋮ Pathwise solution to rough stochastic lattice dynamical system driven by fractional noise ⋮ Synchronization of systems with fractional environmental noises on finite lattice ⋮ Random attractor for stochastic lattice dynamical systems with \(\alpha\)-stable Lévy noises ⋮ Singleton sets random attractor for stochastic FitzHugh-Nagumo lattice equations driven by fractional Brownian motions ⋮ Dynamic behavior of stochastic p-Laplacian-type lattice equations ⋮ Setvalued dynamical systems for stochastic evolution equations driven by fractional noise

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