Fractal Dimension for the Nonautonomous Stochastic Fifth-Order Swift–Hohenberg Equation. (16th September 2020)

• Record Type: Journal Article
• Authors: Guo, Yanfeng; Guo, Chunxiao; Xi, Yongping
• Other Names: Rajagopal Karthikeyan Academic Editor.
• Is Part Of: Complexity. Volume 2020(2020)
• Publication Date: 2020-09-16
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2020/8864585
• Languages: English
• ISSNs: 1076-2787

Abstract

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.