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Synchronization and suppression of chaos in non-locally coupled map lattices

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Abstract

We considered coupled map lattices with long-range interactions to study the spatiotemporal behaviour of spatially extended dynamical systems. Coupled map lattices have been intensively investigated as models to understand many spatiotemporal phenomena observed in extended system, and consequently spatiotemporal chaos. We used the complex order parameter to quantify chaos synchronization for a one-dimensional chain of coupled logistic maps with a coupling strength which varies with the lattice in a power-law fashion. Depending on the range of the interactions, complete chaos synchronization and chaos suppression may be attained. Furthermore, we also calculated the Lyapunov dimension and the transversal distance to the synchronization manifold.

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Authors and Affiliations

  1. Departamento de Física, Universidade Estadual de Ponta Grossa, 84030-900, Ponta Grossa, PR, Brazil

    R. M. Szmoski & S. E. De S. Pinto

  2. Departamento de Matemática e Estatística, Universidade Estadual de Ponta Grossa, 84030-900, Ponta Grossa, PR, Brazil

    M. T. Van Kan & A. M. Batista

  3. Departamento de Física, Universidade Federal do Paraná, 81531-990, Curitiba, PR, Brazil

    R. L. Viana & S. R. Lopes

Authors
  1. R. M. Szmoski
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  2. S. E. De S. Pinto
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  3. M. T. Van Kan
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  4. A. M. Batista
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  5. R. L. Viana
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  6. S. R. Lopes
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Corresponding author

Correspondence to A. M. Batista.

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Szmoski, R.M., Pinto, S.E.D.S., Van Kan, M.T. et al. Synchronization and suppression of chaos in non-locally coupled map lattices. Pramana - J Phys 73, 999–1009 (2009). https://doi.org/10.1007/s12043-009-0175-8

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  • DOI: https://doi.org/10.1007/s12043-009-0175-8

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