Anticipated synchronization in coupled inertia ratchets with time-delayed feedback: a numerical study

  • 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, therebyWe 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.show moreshow less

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Metadaten
Author:Marcin KosturGND, Peter HänggiGND, Peter TalknerGND, José L. Mateos
URN:urn:nbn:de:bvb:384-opus4-2732
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/339
Type:Preprint
Language:English
Publishing Institution:Universität Augsburg
Release Date:2006/09/01
Tag:synchronisation; chaos; delays; ratchets
GND-Keyword:Synchronisierung; Ratsche <Physik>; Quantenchaos; Deterministisches System
Source:erschienen in: Phys. Rev. E 72, 036210 (2005); doi:10.1103/PhysRevE.72.036210; URL: http://link.aps.org/abstract/PRE/v72/e036210
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Theoretische Physik I
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik