Symbolic dynamics and synchronization of coupled map networks with multiple delays

Details Symbolic dynamics and synchronization of coupled map networks with multiple delays Symbolic dynamics and synchronization of coupled map networks with multiple delays

2008-05-13

arxiv.org/abs/0805.1837v2

Physics Letters A 375 (2010) 130-135

Nonlinear Sciences

Chaotic Dynamics

13 pages, 4 figures

Scientific paper

10.1016/j.physleta.2010.10.044

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.

Affiliated with

Also associated with

No associations

Rating

Symbolic dynamics and synchronization of coupled map networks with multiple delays does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Symbolic dynamics and synchronization of coupled map networks with multiple delays, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symbolic dynamics and synchronization of coupled map networks with multiple delays will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-472432