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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.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Hospital de Marina, 30203, Cartagena, Región de Murcia, Spain

    Juan Luis García Guirao

  2. Department of Applied Mathematics, VŠB - Technical University of Ostrava, 17. listopadu 15/2172, 708 33, Ostrava, Czech Republic

    Marek Lampart

Authors
  1. Juan Luis García Guirao
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  2. Marek Lampart
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Correspondence to Juan Luis García Guirao.

Additional information

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.

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Guirao, J.L.G., Lampart, M. Positive entropy of a coupled lattice system related with Belusov-Zhabotinskii reaction. J Math Chem 48, 66–71 (2010). https://doi.org/10.1007/s10910-009-9624-3

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  • DOI: https://doi.org/10.1007/s10910-009-9624-3

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