Synchronization of unidirectional time delay chaotic networks and the greatest common divisor

Details Synchronization of unidirectional time delay chaotic networks and the greatest common divisor Synchronization of unidirectional time delay chaotic networks and the greatest common divisor

2010-12-05

arxiv.org/abs/1012.0990v2

EPL 93, 60003 (2011)

Nonlinear Sciences

Chaotic Dynamics

7 pages, 5 figures

Scientific paper

10.1209/0295-5075/93/60003

We present the interplay between synchronization of unidirectional coupled chaotic nodes with heterogeneous delays and the greatest common divisor (GCD) of loops composing the oriented graph. In the weak chaos region and for GCD=1 the network is in chaotic zero-lag synchronization, whereas for GCD=m>1 synchronization of m-sublattices emerges. Complete synchronization can be achieved when all chaotic nodes are influenced by an identical set of delays and in particular for the limiting case of homogeneous delays. Results are supported by simulations of chaotic systems, self-consistent and mixing arguments, as well as analytical solutions of Bernoulli maps.

Affiliated with

Also associated with

No associations

Rating

Synchronization of unidirectional time delay chaotic networks and the greatest common divisor 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 Synchronization of unidirectional time delay chaotic networks and the greatest common divisor, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Synchronization of unidirectional time delay chaotic networks and the greatest common divisor will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-517549