TRANSIENT TIME IN UNIDIRECTIONAL SYNCHRONIZATION

GIOVANNI SANTOBONI, STEVEN R. BISHOP, ALBERTO VARONE
<span title="">1999</span> <i title="World Scientific Pub Co Pte Lt"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/fdwi2lzrxzbppibh65sn47xgna" style="color: black;">International Journal of Bifurcation and Chaos in Applied Sciences and Engineering</a> </i> &nbsp;
We consider here the behaviour of a dynamical system consisting of unidirectionally coupled Du ng 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
more &raquo; ... onisation occurrs. The dependence of this time on the governing system parameters and on the initial conditions of the driving system is discussed. Short title: Transient Time to synchronisation.
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