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Limiting behavior of FitzHugh–Nagumo equations driven by colored noise on unbounded thin domains.
- Source :
- Stochastics & Dynamics; May2022, Vol. 22 Issue 3, p1-33, 33p
- Publication Year :
- 2022
-
Abstract
- We investigate the limiting behavior of dynamics of non-autonomous stochastic FitzHugh–Nagumo equations driven by a nonlinear multiplicative colored noise on unbounded thin domains. We first establish the existence and uniqueness of random attractors for the equations on the thin domains and their limit equations. Then, we establish the upper semicontinuity of these attractors when the thin domains collapse into a lower-dimensional unbounded domain. [ABSTRACT FROM AUTHOR]
- Subjects :
- ATTRACTORS (Mathematics)
EQUATIONS
NOISE
NONLINEAR equations
STOCHASTIC systems
Subjects
Details
- Language :
- English
- ISSN :
- 02194937
- Volume :
- 22
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Stochastics & Dynamics
- Publication Type :
- Academic Journal
- Accession number :
- 157447192
- Full Text :
- https://doi.org/10.1142/S0219493722400093