Dissipative structures of the Kuramoto–Sivashinsky equation

Autor:	Nikolai A. Kudryashov, B. A. Petrov, Pavel N. Ryabov
Rok vydání:	2015
Předmět:	Amplitude Exact solutions in general relativity Computer simulation Control and Systems Engineering Numerical analysis Signal Processing Mathematical analysis Dissipative system Boundary value problem Pseudo-spectral method Software Circular convolution Mathematics
Zdroj:	Automatic Control and Computer Sciences. 49:508-513
ISSN:	1558-108X 0146-4116
Popis:	The features of dissipative structure formation, which is described by the periodic boundary value problem for the Kuramoto–Sivashinsky equation, are investigated. A numerical algorithm based on the pseudospectral method is presented. The efficiency and accuracy of the proposed numerical method are proved using the exact solution of the equation under study. Using the proposed method, the process of dissipative structure formation, which is described by the Kuramoto–Sivashinsky equation, is studied. The quantitative and qualitative characteristics of this process are described. It is shown that there is a value of the control parameter for which the dissipative structure formation processes occur. Via cyclic convolution, the average value of the control parameter is found. In addition, the dependence of the amplitude of the formed structures on the value of the control parameter is analyzed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::45b89513dcfc5bf7b9999b38f79931f7 https://doi.org/10.3103/s0146411615070147 Zobrazit plný text záznamu Full text from SpringerLink