Spectral properties and synchronization in coupled map lattices

被引:201
作者
Jost, J
Joy, MP
机构
[1] Max Planck Inst Math Sci, D-04103 Leipzig, Germany
[2] Santa Fe Inst, Santa Fe, NM 87501 USA
来源
PHYSICAL REVIEW E | 2002年 / 65卷 / 01期
关键词
D O I
10.1103/PhysRevE.65.016201
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Spectral properties of coupled map lattices are described. Conditions for the stability of spatially homogeneous chaotic solutions are derived using linear stability analysis. Global stability analysis results are also presented. The analytical results are supplemented with numerical examples. The quadratic map is used for the site dynamics with different coupling schemes such as global coupling, nearest neighbor coupling, intermediate range coupling, random coupling, small world coupling and scale free coupling.
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页数:9
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