Fractal Dimension for the Nonautonomous Stochastic Fifth-Order Swift–Hohenberg Equation-Reference-Cited by-同舟云学术

Fractal Dimension for the Nonautonomous Stochastic Fifth-Order Swift–Hohenberg Equation

Published:2020-09-16 Issue: Volume:2020 Page:1-11
ISSN:1076-2787
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Guo Yanfeng¹²^ORCID,Guo Chunxiao³^ORCID,Xi Yongping³

Affiliation:

1. School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, Hubei, China

2. School of Science, Guangxi University of Science and Technology, Liuzhou 545006, Guangxi, China

3. School of Science, China University of Mining and Technology, Beijing 100083, China

Abstract

Some dynamics behaviors for the nonautonomous stochastic fifth-order Swift–Hohenberg equation with additive white noise are considered. The existence of pullback random attractors for the nonautonomous stochastic fifth-order Swift–Hohenberg equation with some properties is mainly investigated on the bounded domain and unbounded domain, through the Ornstein–Uhlenbeck transformation and tail-term estimates. Furthermore, on the basis of some conditions, the finiteness of fractal dimension of random attractor is proved.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2020/8864585.pdf

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