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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2010 Issue 1(20), Pages 143–153 (Mi vsgtu777)

This article is cited 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

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.

UDC: 517.957:519.21:519.62

MSC: 37H10, 60H15

Original article submitted 08/II/2010
revision submitted – 11/III/2010

DOI: 10.14498/vsgtu777



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