12,537 research outputs found
Intermittent generalized synchronization in unidirectionally coupled chaotic oscillators
A new behavior type of unidirectionally coupled chaotic oscillators near the
generalized synchronization transition has been detected. It has been shown
that the generalized synchronization appearance is preceded by the intermitted
behavior: close to threshold parameter value the coupled chaotic systems
demonstrate the generalized synchronization most of the time, but there are
time intervals during which the synchronized oscillations are interrupted by
non-synchronous bursts. This type of the system behavior has been called
intermitted generalized synchronization (IGS) by analogy with intermitted lag
synchronization (ILS) [Phys. Rev. E \textbf{62}, 7497 (2000)].Comment: 8 pages, 5 figures, using epl.cls; published in Europhysics Letters.
70, 2 (2005) 169-17
Phase synchronization in tilted deterministic ratchets
We study phase synchronization for a ratchet system. We consider the
deterministic dynamics of a particle in a tilted ratchet potential with an
external periodic forcing, in the overdamped case. The ratchet potential has to
be tilted in order to obtain a rotator or self-sustained nonlinear oscillator
in the absence of external periodic forcing. This oscillator has an intrinsic
frequency that can be entrained with the frequency of the external driving. We
introduced a linear phase through a set of discrete time events and the
associated average frequency, and show that this frequency can be synchronized
with the frequency of the external driving. In this way, we can properly
characterize the phenomenon of synchronization through Arnold tongues, which
represent regions of synchronization in parameter space, and discuss their
implications for transport in ratchets.Comment: 14 pages, 6 figures, Physica A, in pres
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