Design of coupling for synchronization in time-delayed systems
Abstract
We report a design of delay coupling for targeting desired synchronization in delay dynamical systems. We target synchronization, antisynchronization, lag-, antilag- synchronization, amplitude death (or oscillation death) and generalized synchronization in mismatched oscillators. A scaling of the size of an attractor is made possible in different synchronization regimes. We realize a type of mixed synchronization where synchronization, antisynchronization coexist in different pairs of state variables of the coupled system. We establish the stability condition of synchronization using the Krasovskii-Lyapunov function theory and the Hurwitz matrix criterion. We present numerical examples using the Mackey-Glass system and a delay R\"{o}ssler system.
Cite
@article{arxiv.1106.5298,
title = {Design of coupling for synchronization in time-delayed systems},
author = {Dibakar Ghosh and Ioan Grosu and Syamal Kumar Dana},
journal= {arXiv preprint arXiv:1106.5298},
year = {2012}
}
Comments
8 pages, 6 figures; Chaos 22 (2012)