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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2012, Volume 14, Number 4, Pages 57–61 (Mi svmo351)

In Middle Volga Mathematical Society

Applying the method of one-dimensional perturbations chaotic maps in cellular networks

M. I. Malkin

N. I. Lobachevski State University of Nizhni Novgorod

Abstract: In the paper, the presence of chaotic behavior has been shown for some classes of cellular networks which are discrete models of diffusion type equations. To this aim, the author's method for proving the existence and stability of topological horseshoes near degenerate chaotic low dimensional map has been applied.

Keywords: difference equations, chaotic behavior of trajectories, cell network, discrete models of diffusion.

UDC: 512.917+513.9



© Steklov Math. Inst. of RAS, 2024