Pattern Formation in Two-Component Reaction-Diffusion Systems in Fluctuate Environment

Pattern Formation in Two-Component Reaction-Diffusion Systems in Fluctuate Environment

The influence of multiplicative fluctuations of parameters on pattern formation was researched. It was received the system which described interaction of undamped modes when soft mode instability were developed. It was shown that the fluctuations of parameters lead to changing of eigenvalues of unst...

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Main Authors: V. V. Maximov, I. P. Zavershinskii, Yu. V. Zhelnov, S. E. Kurushina
Format: Article
Language:English
Published: Samara State Technical University 2010-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu777
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spelling doaj-3ca19cd0141e4d42bda190a7e90190412020-11-24T21:48:02ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812010-03-011(20)14315310.14498/vsgtu777 Pattern Formation in Two-Component Reaction-Diffusion Systems in Fluctuate EnvironmentV. V. MaximovI. P. ZavershinskiiYu. V. ZhelnovS. E. KurushinaThe influence of multiplicative fluctuations of parameters on pattern formation was researched. It was received the system which described interaction of undamped modes when soft mode instability were developed. It was shown that the fluctuations of parameters lead to changing of eigenvalues of unstable modes. The computational modeling of spatial structures evolution was conducted. Changing of fluctuating level of dynamic variables in process of dissipative pattern formation which conditioned by changing of external random field parameters were investigated.http://mi.mathnet.ru/eng/vsgtu777
collection DOAJ
language English
format Article
sources DOAJ
author V. V. Maximov
I. P. Zavershinskii
Yu. V. Zhelnov
S. E. Kurushina
spellingShingle V. V. Maximov
I. P. Zavershinskii
Yu. V. Zhelnov
S. E. Kurushina
Pattern Formation in Two-Component Reaction-Diffusion Systems in Fluctuate Environment
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
author_facet V. V. Maximov
I. P. Zavershinskii
Yu. V. Zhelnov
S. E. Kurushina
author_sort V. V. Maximov
title Pattern Formation in Two-Component Reaction-Diffusion Systems in Fluctuate Environment
title_short Pattern Formation in Two-Component Reaction-Diffusion Systems in Fluctuate Environment
title_full Pattern Formation in Two-Component Reaction-Diffusion Systems in Fluctuate Environment
title_fullStr Pattern Formation in Two-Component Reaction-Diffusion Systems in Fluctuate Environment
title_full_unstemmed Pattern Formation in Two-Component Reaction-Diffusion Systems in Fluctuate Environment
title_sort pattern formation in two-component reaction-diffusion systems in fluctuate environment
publisher Samara State Technical University
series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn 1991-8615
2310-7081
publishDate 2010-03-01
description The influence of multiplicative fluctuations of parameters on pattern formation was researched. It was received the system which described interaction of undamped modes when soft mode instability were developed. It was shown that the fluctuations of parameters lead to changing of eigenvalues of unstable modes. The computational modeling of spatial structures evolution was conducted. Changing of fluctuating level of dynamic variables in process of dissipative pattern formation which conditioned by changing of external random field parameters were investigated.
url http://mi.mathnet.ru/eng/vsgtu777
work_keys_str_mv AT vvmaximov patternformationintwocomponentreactiondiffusionsystemsinfluctuateenvironment
AT ipzavershinskii patternformationintwocomponentreactiondiffusionsystemsinfluctuateenvironment
AT yuvzhelnov patternformationintwocomponentreactiondiffusionsystemsinfluctuateenvironment
AT sekurushina patternformationintwocomponentreactiondiffusionsystemsinfluctuateenvironment
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