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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2010, Issue 1(20), Pages 143–153
DOI: https://doi.org/10.14498/vsgtu777 (Mi vsgtu777) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Modeling

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

S. E. Kurushina, Yu. V. Zhelnov, I. P. Zavershinskii, V. V. Maximov

Dept. of Physic, S. P. Korolyov Samara State Aerospace University, Samara
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DOI: https://doi.org/10.14498/vsgtu777
Abstract: 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.
Keywords: multiplicative fluctuations of parameters, pattern formation, unstable modes, Ginzburg–Landau equation, numerical modeling.
Original article submitted 08/II/2010
revision submitted – 11/III/2010
Bibliographic databases:
Document Type: Article
UDC: 517.957:519.21:519.62
MSC: 37H10, 60H15
Language: Russian
Citation: S. E. Kurushina, Yu. V. Zhelnov, I. P. Zavershinskii, V. V. Maximov, “Pattern Formation in Two-Component Reaction-Diffusion Systems in Fluctuate Environment”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(20) (2010), 143–153
Citation in format AMSBIB
\Bibitem{KurZheZav10}
\by S.~E.~Kurushina, Yu.~V.~Zhelnov, I.~P.~Zavershinskii, V.~V.~Maximov
\paper Pattern Formation in Two-Component Reaction-Diffusion Systems in Fluctuate Environment
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2010
\vol 1(20)
\pages 143--153
\mathnet{http://mi.mathnet.ru/vsgtu777}
\crossref{https://doi.org/10.14498/vsgtu777}
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  • https://www.mathnet.ru/eng/vsgtu/v120/p143
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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