Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.physleta.2010.10.044
Title: Symbolic dynamics and synchronization of coupled map networks with multiple delays
Authors: Atay, F.M.
Jalan, S. 
Jost, J.
Issue Date: 1-Dec-2010
Citation: Atay, F.M., Jalan, S., Jost, J. (2010-12-01). Symbolic dynamics and synchronization of coupled map networks with multiple delays. Physics Letters, Section A: General, Atomic and Solid State Physics 375 (2) : 130-135. ScholarBank@NUS Repository. https://doi.org/10.1016/j.physleta.2010.10.044
Abstract: We use symbolic dynamics to study discrete-time dynamical systems with multiple time delays. We exploit the concept of avoiding sets, which arise from specific non-generating partitions of the phase space and restrict the occurrence of certain symbol sequences related to the characteristics of the dynamics. In particular, we show that the resulting forbidden sequences are closely related to the time delays in the system. We present two applications to coupled map lattices, namely (1) detecting synchronization and (2) determining unknown values of the transmission delays in networks with possibly directed and weighted connections and measurement noise. The method is applicable to multi-dimensional as well as set-valued maps, and to networks with time-varying delays and connection structure. © 2010 Elsevier B.V.
Source Title: Physics Letters, Section A: General, Atomic and Solid State Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/98156
ISSN: 03759601
DOI: 10.1016/j.physleta.2010.10.044
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