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

被引：2
|
作者：
Szmoski, R. M. [2 ]
Pinto, S. E. De S. [2 ]
Van Kan, M. T. [1 ]
Batista, A. M. [1 ]
Viana, R. L. [3 ]
Lopes, S. R. [3 ]
机构：
[1] Univ Estadual Ponta Grossa, Dept Matemat & Estat, BR-84030900 Ponta Grossa, PR, Brazil
[2] Univ Estadual Ponta Grossa, Dept Fis, BR-84030900 Ponta Grossa, PR, Brazil
[3] Univ Fed Parana, Dept Fis, BR-81531990 Curitiba, PR, Brazil
来源：
PRAMANA-JOURNAL OF PHYSICS | 2009年 / 73卷 / 06期
关键词：
Lattice; synchronization; maps; suppression;
D O I：
10.1007/s12043-009-0175-8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
引用
收藏
页码：999 / 1009
页数：11
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