Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2005-06-30
Phys. Rev. E 72, 036210 (2005)
Physics
Condensed Matter
Soft Condensed Matter
Scientific paper
10.1103/PhysRevE.72.036210
We investigate anticipated synchronization between two periodically driven deterministic, dissipative inertia ratchets that are able to exhibit directed transport with a finite velocity. The two ratchets interact through an unidirectional delay coupling: one is acting as a master system while the other one represents the slave system. Each of the two dissipative deterministic ratchets is driven externally by a common periodic force. The delay coupling involves two parameters: the coupling strength and the (positive-valued) delay time. We study the synchronization features for the unbounded, current carrying trajectories of the master and the slave, respectively, for four different strengths of the driving amplitude. These in turn characterize differing phase space dynamics of the transporting ratchet dynamics: regular, intermittent and a chaotic transport regime. We find that the slave ratchet can respond in exactly the same way as the master will respond in the future, thereby anticipating the nonlinear directed transport.
Hänggi Peter
Kostur Marcin
Mateos Jose L.
Talkner Peter
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