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Spectral Properties and Synchronization in Coupled Map Lattices | | J. Jost
; M. P. Joy
; | | Date: |
19 Oct 2001 | | Journal: | Phys. Rev. E 65, 016201 (2002) | | Subject: | Chaotic Dynamics; Adaptation and Self-Organizing Systems; Disordered Systems and Neural Networks | nlin.CD cond-mat.dis-nn nlin.AO | | Affiliation: | 1 and 2) and M. P. Joy ( Max Planck Institute, Leipzig and Santa Fe Institute | | Abstract: | 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. | | Source: | arXiv, nlin.CD/0110037 | | Other source: | [GID 1135102] pmid11800762 | | Services: | Forum | Review | PDF | Favorites | |
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