ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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Turing instability of dynamical systems which are described by equations with fractional derivatives

I. V. Boikov1, V. A. Ryazantsev2

AnnotationReaction-diffusion models, that are decribed by systems of partial differential equations, are under consideration. Turnig stability and instability of solutions of these systems are investigated in the paper.
Keywordspartial differential equations, reaction-diffusion models, Turing stability, logarithmic norm, fractional derivatives

1Head of Higher and Applied Mathematics Chair, Penza State University, Penza; boikov@pnzgu.ru

2V. A. Ryazantsev(Post-graduate student of Higher and Applied Mathematics Chair, Penza State University, Penza; ryazantsevv@mail.ru)

Citation: I. V. Boikov, V. A. Ryazantsev, "[Turing instability of dynamical systems which are described by equations with fractional derivatives]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,15:4 (2013) 15–24 (In Russian)