Spatial correlations and synchronization in coupled map lattices with long-range interactions

D.B. Vasconcelos, R.L. Viana, S.R. Lopes, A.M. Batista and S.E. de S. Pinto

Physica A: Statistical Mechanics and its Applications, 2004, vol. 343, issue C, 201-218

Abstract: We used numerical diagnostics to quantify spatial disorder, and its relation with temporal chaos, for a one-dimensional chain of coupled logistic maps with a coupling strength which varies with the lattice distance in a power-law fashion. The main tool is spatial return plots, whose properties are used to obtain information about the chaotic synchronized states of the system. A spatial correlation integral is introduced to characterize the clustering of points in the spatial return plots.

Keywords: Coupled map lattices; Synchronization; Spatial correlations (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:343:y:2004:i:c:p:201-218

DOI: 10.1016/j.physa.2004.06.063

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