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Chaos : Phase synchronization in tilted inertial ratchets as chaotic rotators

By José L. Mateos and Fernando R. Alatriste

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Book Id: WPLBN0002169307
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 22 December 2008

Title: Chaos : Phase synchronization in tilted inertial ratchets as chaotic rotators  
Author: José L. Mateos and Fernando R. Alatriste
Volume: Issue : December 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection, Chaos Collection
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Publication Date:
Publisher: American Institute of Physics

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Mateos And Fernando R. Alatrist, J. L. (n.d.). Chaos : Phase synchronization in tilted inertial ratchets as chaotic rotators. Retrieved from http://hawaiilibrary.net/


Description
Description: The phenomenon of phase synchronization for a particle in a periodic ratchet potential is studied. We consider the deterministic dynamics in the underdamped case where the inertia plays an important role since the dynamics can become chaotic. The ratchet potential is tilted due to a constant external force and is rocking by an external periodic forcing. This potential has to be tilted in order to obtain a rotator or self-sustained nonlinear oscillator in the absence of the external periodic forcing; this oscillator then acquires an intrinsic frequency that can be locked with the frequency of the external driving. We introduced an instantaneous linear phase, using a set of discrete time markers, and the associated average frequency, and show that this frequency can be synchronized with the frequency of the driving. We calculate Arnold tongues in a two-dimensional parameter space and discuss their implications for the chaotic transport in ratchets. We show that the local maxima in the current correspond to the borders of these Arnold tongues; in this way we established a link between optimal transport in ratchets and phase synchronization.

 

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