Stability of synchronization in coupled time-delay systems using Krasovskii-Lyapunov theory.
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 the numerical simulation of paradigmatic examples.
Senthilkumar
D V
DV
Centre for Dynamics of Complex Systems, 14469 Potsdam, Germany. skumar@cnld.bdu.ac.in
Kurths
J
J
Lakshmanan
M
M