Transient time in unidirectional synchronization
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Data
1999
Autori
Varone, Alberto
Santoboni, Giovanni
Bishop, Steven R.
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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.
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Keywords
Duffing oscillators , transient distribution