Phase effects on synchronization by dynamical relaying in delay-coupled systems
Chaotic Dynamics
2008-05-22 v4
Abstract
Synchronization in an array of mutually coupled systems with a finite time-delay in coupling is studied using Josephson junction as a model system. The sum of the transverse Lyapunov exponents is evaluated as a function of the parameters by linearizing the equation about the synchronization manifold. The dependence of synchronization on damping parameter, coupling constant and time-delay is studied numerically. The change in the dynamics of the system due to time-delay and phase difference between the applied fields is studied. The case where a small frequency detuning between the applied fields is also discussed.
Cite
@article{arxiv.0708.2759,
title = {Phase effects on synchronization by dynamical relaying in delay-coupled systems},
author = {Chitra R Nayak and V. C. Kuriakose},
journal= {arXiv preprint arXiv:0708.2759},
year = {2008}
}
Comments
14 pages, 8 figures, Accepted for publication in "CHAOS"