Existence and Approximation of Manifolds for the Swift-Hohenberg Equation with a Parameter. (12th July 2018)

• Record Type: Journal Article
• Authors: Guo, Yanfeng; Guo, Chunxiao; Li, Donglong
• Other Names: Villatoro Francisco R. Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2018(2018)
• Publication Date: 2018-07-12
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2018/1423170
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : The existence and approximation of manifolds for the Swift-Hohenberg equation with a proper parameter have mainly been studied. Using the backward-forward systems from Swift-Hohenberg equation, the existence and specific representation forms of manifolds for Swift-Hohenberg equation with a parameter have been obtained. Meanwhile, we make use of technique of deposition of lower and higher frequency spaces of solutions and assume the reduced system to obtain the main numeration approximation system of approximation solution for the original system Swift-Hohenberg equation with a proper parameter.