Stability of synchronization in coupled time-delay systems using Krasovskii-Lyapunov theory
Chaotic Dynamics
2015-05-13 v1
Abstract
Stability of synchronization in unidirectionally coupled time-delay systems is studied using the Krasovskii-Lyapunov theory. We have shown that the same general stability condition is valid for different cases, even for the general situation (but with a constraint) where all the coefficients of the error equation corresponding to the synchronization manifold are time-dependent. These analytical results are also confirmed by numerical simulation of paradigmatic examples.
Keywords
Cite
@article{arxiv.0906.0262,
title = {Stability of synchronization in coupled time-delay systems using Krasovskii-Lyapunov theory},
author = {D. V. Senthilkumar and J. Kurths and M. Lakshmanan},
journal= {arXiv preprint arXiv:0906.0262},
year = {2015}
}
Comments
Accepted for Publication in Physical Review E