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arXiv · 0906.0262

Stability of synchronization in coupled time-delay systems using Krasovskii-Lyapunov theory

D. V. Senthilkumar·J. Kurths·M. Lakshmanan
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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.

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D. V. Senthilkumar, J. Kurths, M. Lakshmanan. 2009-06-01. Stability of synchronization in coupled time-delay systems using Krasovskii-Lyapunov theory. https://doi.org/10.1103/physreve.79.066208

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