New way to achieve chaotic synchronization in spatially extended systems

Details New way to achieve chaotic synchronization in spatially extended systems New way to achieve chaotic synchronization in spatially extended systems

2000-02-21

arxiv.org/abs/cond-mat/0002315v1

Physics

Condensed Matter

5 pages (revtex), 7 figures (eps, included)

Scientific paper

10.1142/S0217984901001987

We study the spatio-temporal behavior of simple coupled map lattices with periodic boundary conditions. The local dynamics is governed by two maps, namely, the sine circle map and the logistic map respectively. It is found that even though the spatial behavior is irregular for the regularly coupled (nearest neighbor coupling) system, the spatially synchronized (chaotic synchronization) as well as periodic solution may be obtained by the introduction of three long range couplings at the cost of three nearest neighbor couplings.

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