Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2006-09-18
PRE 75, 026201 (2007)
Nonlinear Sciences
Chaotic Dynamics
22 pages, 6 figures
Scientific paper
10.1103/PhysRevE.75.026201
Complete chaotic synchronization of end lasers has been observed in a line of mutually coupled, time-delayed system of three lasers, with no direct communication between the end lasers. The present paper uses ideas from generalized synchronization to explain the complete synchronization in the presence of long coupling delays, applied to a model of mutually coupled semiconductor lasers in a line. These ideas significantly simplify the analysis by casting the stability in terms of the local dynamics of each laser. The variational equations near the synchronization manifold are analyzed, and used to derive the synchronization condition that is a function of the parameters. The results explain and predict the dependence of synchronization on various parameters, such as time-delays, strength of coupling and dissipation. The ideas can be applied to understand complete synchronization in other chaotic systems with coupling delays and no direct communication between synchronized sub-systems.
Landsman Alexandra S.
Schwartz Ira B.
No associations
LandOfFree
Complete chaotic synchronization in mutually coupled time-delay 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 Complete chaotic synchronization in mutually coupled time-delay systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complete chaotic synchronization in mutually coupled time-delay systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-466109