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Limiting dynamical behavior of random fractional FitzHugh-Nagumo systems driven by a Wong-Zakai approximation process.
- Source :
- Communications on Pure & Applied Analysis; May2020, Vol. 19 Issue 5, p2751-2776, 26p
- Publication Year :
- 2020
-
Abstract
- In this paper, we study the long term behavior of non-autonomous fractional FitzHugh-Nagumo systems with random forcing given by an approximation of white noise, called Wong-Zakai approximation. We first prove the existence and uniqueness of tempered pullback attractors for the Wong-Zakai approximation fractional FitzHugh-Nagumo systems, and then establish the upper semicontinuity of attractors of system driven by a linear multiplicative Wong-Zakai approximations as random forcing approaches white noise in some sense. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15340392
- Volume :
- 19
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Communications on Pure & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 142146201
- Full Text :
- https://doi.org/10.3934/cpaa.2020120