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Conversion of local transient chaos into global laminar states in coupled map lattices with long-range interactions

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  • Vasconcelos, D.B.
  • Viana, R.L.
  • Lopes, S.R.
  • Pinto, S.E. de S.

Abstract

Spatially extended dynamical systems may exhibit intermittent behavior in both spatial and temporal scales, characterized by repeated conversions from spatially localized transient chaos into global laminar patterns. A simple model, yet retaining some features of more complex systems, consists of a lattice of a class of tent maps with an escaping region. The coupling prescription we adopt in this work considers the interaction of a site with all its neighbors, the corresponding strength decaying with the lattice distance as a power-law. This makes possible to pass continuously from a local (nearest-neighbor) to a global kind of coupling. We investigate statistical properties of both the chaotic transient bursts and the periodic laminar states, with respect to the coupling parameters.

Suggested Citation

  • Vasconcelos, D.B. & Viana, R.L. & Lopes, S.R. & Pinto, S.E. de S., 2006. "Conversion of local transient chaos into global laminar states in coupled map lattices with long-range interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 158-172.
    • Handle: RePEc:eee:phsmap:v:367:y:2006:i:c:p:158-172
    DOI: 10.1016/j.physa.2005.11.042
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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.

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