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- Title
STOCHASTIC ATTRACTOR BIFURCATION FOR THE TWO-DIMENSIONAL SWIFT-HOHENBERG EQUATION WITH MULTIPLICATIVE NOISE.
- Authors
XIAO, QINGKUN; GAO, HONGJUN
- Abstract
This article concerns the dynamical transitions of the stochastic Swift-Hohenberg equation with multiplicative noise on a two-dimensional domain (-L, L) × (-L, L). With α and L regarded as parameters, we show that the approximate reduced system corresponding to the invariant manifold undergoes a stochastic pitchfork bifurcation near the critical points, and the impact of noise on stochastic bifurcation of the Swift-Hohenberg equation. We find the approximation representation of the manifold and the corresponding reduced systems for stochastic Swift-Hohenberg equation when L2 and √ 2L1 are close together.
- Publication
Electronic Journal of Differential Equations, 2023, Issue 74, p1
- ISSN
1550-6150
- Publication type
Article