Abstract
We consider here the behavior of a dynamical system consisting of two unidirectionally coupled Duffing oscillators. Under certain conditions the subsystems may become synchronized 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 synchronized state is investigated via numerical simulations. Some initial conditions undergo a very long transient motion distinct from the drive, before synchronization occurs. The dependence of this time on the governing system parameters and on the initial conditions of the driving system is discussed.
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