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

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

Physica A: Statistical Mechanics and its Applications, 2006, vol. 367, issue C, 158-172

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.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:367:y:2006:i:c:p:158-172

DOI: 10.1016/j.physa.2005.11.042

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