Spectral Properties and Synchronization in Coupled Map Lattices

Details Spectral Properties and Synchronization in Coupled Map Lattices Spectral Properties and Synchronization in Coupled Map Lattices

2001-10-19

arxiv.org/abs/nlin/0110037v1

Phys. Rev. E 65, 016201 (2002)

Nonlinear Sciences

Chaotic Dynamics

10 pages with 15 figures (Postscript), REVTEX format. To appear in PRE

Scientific paper

10.1103/PhysRevE.65.016201

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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