Random Attractors on Lattice of Stochastic FitzHugh–Nagumo Systems Driven by α-Stable Lévy Noises-Reference-Cited by-同舟云学术

Random Attractors on Lattice of Stochastic FitzHugh–Nagumo Systems Driven by α-Stable Lévy Noises

Published:2014-10 Issue:10 Volume:24 Page:1450123
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Gu Anhui¹,Li Yangrong¹,Li Jia¹

Affiliation:

1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, P. R. China

Abstract

The present paper is devoted to studying the existence of a random attractor on a lattice of stochastic FitzHugh–Nagumo systems driven by α-stable Lévy noises under some dissipative conditions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127414501235

Reference23 articles.

1. Lévy Processes and Stochastic Calculus

2. Random Dynamical Systems

3. ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS

4. Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications

5. Attractors for stochastic lattice dynamical systems with a multiplicative noise

Cited by 32 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Wong-Zakai approximations and random attractors for stochastic p-Laplacian lattice systems;Journal of Differential Equations;2024-06

2. Bi-spatial random attractor for stochastic FitzHugh-Nagumo systems on unbounded thin domain;Topological Methods in Nonlinear Analysis;2024-03-03

3. Random uniform attractors for fractional stochastic FitzHugh-Nagumo lattice systems;AIMS Mathematics;2024

4. Invariant measures for stochastic FitzHugh-Nagumo delay lattice systems with long-range interactions in weighted space;AIMS Mathematics;2024

5. Well-posedness and dynamics of stochastic retarded FitzHugh-Nagumo lattice systems;Journal of Mathematical Physics;2023-12-01