CHAOS OF TRAVELING WAVES IN A DISCRETE CHAIN OF DIFFUSIVELY COUPLED MAPS-Reference-Cited by-同舟云学术

CHAOS OF TRAVELING WAVES IN A DISCRETE CHAIN OF DIFFUSIVELY COUPLED MAPS

Published:1994-06 Issue:03 Volume:04 Page:631-637
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

AFRAIMOVICH V.S.¹,NEKORKIN V.I.²

Affiliation:

1. Georgia Institute of Technology, Center for Dynamical Systems and Nonlinear Studies, Atlanta, Georgia 30332–0190, USA

2. Nizhny Novgorod State University, 23 Gagarin Avenue, 603600 Nizhny Novgorod, Russia

Abstract

An infinite set of stationary traveling waves are found in a discrete analog of the nonlinear diffusion Huxley equation. Their profiles are determined by the trajectories of Bernoulli scheme containing two symbols. It is proved that these waves are stable with respect to perturbations moving with the same speed. Thus it is shown that chaos of traveling waves is realized in this system.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127494000459

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