, Volume 48, Issue 1, pp 66-71
Date: 12 Nov 2009

Positive entropy of a coupled lattice system related with Belusov-Zhabotinskii reaction

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Abstract

In this paper we present a lattice dynamical system stated by Kaneko in (Phys Rev Lett, 65: 1391–1394, 1990) which is related to the Belusov-Zhabotinskii reaction. We prove that this CML (Coupled Map Lattice) system has positive topological entropy for zero coupling constant.

This research was supported in part by MEC (Ministerio de Educación y Ciencia, Spain) grants MTM2005-03860 and MTM2005-06098-C02-01; Fundación Séneca (Comunidad Autónoma de la Región de Murcia), grant 00684-FI-04, by Grant Agency of the Czech Republic grant 201/07/P032 and the Ministry of Education of the Czech Republic No. MSM6198910027.