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

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Springer

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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.

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coupled map lattice, positive topological entropy

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Journal of Mathematical Chemistry. 2010, vol. 48, no. 1, p. 66-71.