Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2009-09-13
Nonlinearity 22 (2009) 2333-2351
Nonlinear Sciences
Chaotic Dynamics
Scientific paper
10.1088/0951-7715/22/10/001
We consider complete synchronization of identical maps coupled through a general interaction function and in a general network topology where the edges may be directed and may carry both positive and negative weights. We define mixed transverse exponents and derive sufficient conditions for local complete synchronization. The general non-diffusive coupling scheme can lead to new synchronous behavior, in networks of identical units, that cannot be produced by single units in isolation. In particular, we show that synchronous chaos can emerge in networks of simple units. Conversely, in networks of chaotic units simple synchronous dynamics can emerge; that is, chaos can be suppressed through synchrony.
Atay Fatihcan M.
Bauer Frank
Jost Juergen
No associations
LandOfFree
Synchronization in discrete-time networks with general pairwise coupling 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 in discrete-time networks with general pairwise coupling, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Synchronization in discrete-time networks with general pairwise coupling will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-629041