Detection of synchronised chaos in coupled map networks using symbolic dynamics.

Sarika Jalan, Fatihcan M. Atay, and Jürgen Jost

Contact the author: Please use for correspondence this email.
Submission date: 20. Apr. 2006
Pages: 6
published in: Physics Letters / A, 375 (2010) 2, p. 130-135 
DOI number (of the published article): 10.1016/j.physleta.2010.10.044
Bibtex
with the following different title: Symbolic dynamics and synchronization of coupled map networks with multiple delays
PACS-Numbers: 05.45.Xt, 05.45.Ra, 02.50r
Keywords and phrases: synchronization, Symbolic Dynamics, Coupled chaotic maps
Download full preprint: PDF (184 kB)

Abstract:
We present a method based on symbolic dynamics for the detection of synchronization in networks of coupled maps and distinguishing between chaotic and random iterations. The symbolic dynamics are defined using special partitions of the phase space which prevent the occurrence of certain symbol sequences related to the characteristics of the dynamics. Synchrony in a large network can be detected using measurements from only a single node by checking for the presence of forbidden symbol transitions. The method utilises a relatively short time series of measurements and hence is computationally very fast. Furthermore, it is robust against parameter uncertainties, is independent of the network size, and does not require knowledge of the connection structure.