Design of coupling for targeting synchronization in time-delayed systems

Details Design of coupling for targeting synchronization in time-delayed systems Design of coupling for targeting synchronization in time-delayed systems

2011-06-27

arxiv.org/abs/1106.5298v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

We report a general method of designing delay coupling for targeting a desired synchronization state in delay dynamical systems. We are able to target synchronization, antisynchronization, lag-, anti-lag synchronization, amplitude death and generalized synchronization in mismatched oscillators. We apply the theory for targeting a type of mixed synchronization where synchronization, antisynchronization and amplitude death coexist in different pairs of state variables of the coupled system. By this method, a scaling of the size of an attractor is possible in different synchronization regimes. We derive the stability conditions of synchronization based on Kravoskii-Lyapunov function theory and Hurwitz matrix criterion. We present numerical demonstration using the Mackey-Glass system and a delay R\"{o}ssler system.

Affiliated with

Also associated with

No associations

Rating

Design of coupling for targeting synchronization in time-delayed systems 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 Design of coupling for targeting synchronization in time-delayed systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Design of coupling for targeting synchronization in time-delayed systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-637881