Stochastic stability of FitzHugh-Nagumo systems perturbed by Gaussian white noise
type: Item
instance of: scholarly article
title: Stochastic stability of FitzHugh-Nagumo systems perturbed by Gaussian white noise
zbMATH Open document ID: 1233.37051
author: Yan Zheng
author: Jian Hua Huang
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2011-02-14T00:00:00Z
review text: The authors study the stochastic stability of FitzHugh-Nagumo systems with Gaussian white noise perturbation. First, the dynamics of stochastic FitzHugh-Nagumo systems are studied. Then the authors prove the existence and uniqueness of exponentially mixing invariant measures. Finally, the asymptotic behavior of the invariant measure when the size of the noise tends to zero is investigated.
reviewed by: Norbert Koksch
Mathematics Subject Classification ID: 37L15
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 37L40
Mathematics Subject Classification ID: 37L55
zbMATH DE Number: 5851373
zbMATH Keywords: stochastic stability
zbMATH Keywords: FitzHugh-Nagumo system
zbMATH Keywords: invariant measure
zbMATH Keywords: Gaussian white noise
zbMATH Keywords: ergodicity
zbMATH Keywords: dissipativity method
MaRDI profile type: Publication
full work available at URL: s10483-011-1389-7
OpenAlex ID: W2400019258
cites work: Q4039910
cites work: Q4509266
cites work: Q4337938
cites work: Q4003101
cites work: Finite-Dimensional Attractors Associated with Partly Dissipative Reaction-Diffusion Systems
cites work: Attractors for partly dissipative reaction diffusion systems in \(\mathbb{R}^n\)
cites work: Infinite-dimensional dynamical systems. An introduction to dissipative parabolic PDEs and the theory of global attractors
cites work: Q5293489
cites work: Weak Solutions for Stochastic FitzHugh–Nagumo Equations
cites work: Ergodicity for Infinite Dimensional Systems
cites work: Convergence to equilibrium for classical and quantum spin systems
cites work: Stochastic Partial Differential Equations with Levy Noise
cites work: Attractors for lattice fitzHugh--Nagumo systems
DOI: 10.1007/S10483-011-1389-7
description: scientific article; zbMATH DE number 5851373