Stochastic stability of FitzHugh-Nagumo systems perturbed by Gaussian white noise

DOI10.1007/s10483-011-1389-7zbMath1233.37051OpenAlexW2400019258MaRDI QIDQ623285

Yan Zheng, Jian Hua Huang

Publication date: 14 February 2011

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-011-1389-7

zbMATH Keywords

ergodicityinvariant measureGaussian white noisestochastic stabilityFitzHugh-Nagumo systemdissipativity method

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40)

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Cites Work

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• Attractors for partly dissipative reaction diffusion systems in \(\mathbb{R}^n\)
• Convergence to equilibrium for classical and quantum spin systems
• Attractors for lattice fitzHugh--Nagumo systems
• Finite-Dimensional Attractors Associated with Partly Dissipative Reaction-Diffusion Systems
• Weak Solutions for Stochastic FitzHugh–Nagumo Equations
• Ergodicity for Infinite Dimensional Systems
• Stochastic Partial Differential Equations with Levy Noise

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