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Dynamics of stochastic FitzHugh–Nagumo systems with additive noise on unbounded thin domains.
- Source :
- Stochastics & Dynamics; Jun2020, Vol. 20 Issue 03, pN.PAG-N.PAG, 33p
- Publication Year :
- 2020
-
Abstract
- We investigate the asymptotic behavior of a class of non-autonomous stochastic FitzHugh–Nagumo systems driven by additive white noise on unbounded thin domains. For this aim, we first show the existence and uniqueness of random attractors for the considered equations 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 :
- STOCHASTIC systems
WHITE noise
ATTRACTORS (Mathematics)
NOISE
Subjects
Details
- Language :
- English
- ISSN :
- 02194937
- Volume :
- 20
- Issue :
- 03
- Database :
- Complementary Index
- Journal :
- Stochastics & Dynamics
- Publication Type :
- Academic Journal
- Accession number :
- 143346023
- Full Text :
- https://doi.org/10.1142/S0219493720500185