Phase effects on synchronization by dynamical relaying in delay-coupled systems

Details Phase effects on synchronization by dynamical relaying in delay-coupled systems Phase effects on synchronization by dynamical relaying in delay-coupled systems

2007-08-21

arxiv.org/abs/0708.2759v4

Nonlinear Sciences

Chaotic Dynamics

14 pages, 8 figures, Accepted for publication in "CHAOS"

Scientific paper

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.

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