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Self-organized memories in coupled map lattices

Author

Listed:
  • de Pontes, José C.A.
  • Batista, Antônio M.
  • Viana, Ricardo L.
  • Lopes, Sérgio R.

Abstract

Spatially extended dynamical systems subjected to a periodic external input are able to store short-term memories as a result of self-organization. This phenomenon has been used to interpret sliding charge density wave experiments, and has been found in lattices of coupled maps and oscillators. In this paper, we aim to describe the influence of a stochastic perturbation in the self-organized memories in a lattice of coupled linear and weakly nonlinear maps. We consider the case in which the coupling between maps depends on the lattice distance as a power law.

Suggested Citation

  • de Pontes, José C.A. & Batista, Antônio M. & Viana, Ricardo L. & Lopes, Sérgio R., 2006. "Self-organized memories in coupled map lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(2), pages 387-398.
    • Handle: RePEc:eee:phsmap:v:368:y:2006:i:2:p:387-398
    DOI: 10.1016/j.physa.2005.12.058
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    Cited by:

    1. Zhang, Ying-Qian & He, Yi & Wang, Xing-Yuan, 2018. "Spatiotemporal chaos in mixed linear–nonlinear two-dimensional coupled logistic map lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 148-160.
    2. Karataieva, Tatiana & Koshmanenko, Volodymyr & Krawczyk, Małgorzata J. & Kułakowski, Krzysztof, 2019. "Mean field model of a game for power," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 535-547.

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