research

Transient time in unidirectional synchronization

Abstract

We consider here the behaviour of a dynamical system consisting of unidirectionally coupled Duffing oscillators. Under certain conditions the subsystems may become synchronised corresponding to a stable invariant subset of the full dimensional phase space. The distribution for the transient time that trajectories take to converge onto the synchronised state is investigated via numerical simulations. Some initial conditions undergo a very long transient motion distinct from the drive, before synchronisation occurrs. The dependence of this time on the governing system parameters and on the initial conditions of the driving system is discussed

    Similar works