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Wong–Zakai approximations and random attractors of non-autonomous stochastic discrete complex Ginzburg–Landau equations.
- Source :
- Journal of Mathematical Physics; Jun2021, Vol. 62 Issue 6, p1-29, 29p
- Publication Year :
- 2021
-
Abstract
- In this paper, we consider the Wong–Zakai approximations and random attractors for stochastic discrete complex Ginzburg–Landau equations driven by nonlinear multiplicative noise. We establish the existence of the random attractor for the approximate system. For linear multiplicative noise or additive noise, we study the convergence of the solutions and the upper semicontinuity of random attractors for the approximate equation when the perturbation parameters tend to zero. [ABSTRACT FROM AUTHOR]
- Subjects :
- ATTRACTORS (Mathematics)
EQUATIONS
NONLINEAR equations
NOISE
Subjects
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 62
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 151175676
- Full Text :
- https://doi.org/10.1063/5.0016914