Geodesic
Pattern Formation in Two-Component Reaction-Diffusion Systems in Fluctuate Environment
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2010), pp. 143-153

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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, Ginzburg–Landau equation, numerical modeling.
Mots-clés : unstable modes 
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     author = {S. E. Kurushina and Yu. V. Zhelnov and I. P. Zavershinskii and V. V. Maximov},
     title = {Pattern {Formation} in {Two-Component} {Reaction-Diffusion} {Systems} in {Fluctuate} {Environment}},
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S. E. Kurushina; Yu. V. Zhelnov; I. P. Zavershinskii; V. V. Maximov. Pattern Formation in Two-Component Reaction-Diffusion Systems in Fluctuate Environment. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2010), pp. 143-153. http://geodesic.mathdoc.fr/item/VSGTU_2010_1_a15/