title: Anticipated synchronization in coupled inertial ratchets with time-delayed feedback: a numerical study.
abstract: We investigate anticipated synchronization between two periodically driven deterministic, dissipative inertial ratchets that are able to exhibit directed transport with a finite velocity. The two ratchets interact through a 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.
authors.affiliation: Institut für Physik, Universität Augsburg, Universitatsstrasse 1, D-86135 Augsburg, Germany.
authors.forename: Marcin
authors.initials: M
authors.lastname: Kostur
authors.forename: Peter
authors.initials: P
authors.lastname: Hänggi
authors.forename: Peter
authors.initials: P
authors.lastname: Talkner
authors.forename: José L
authors.initials: JL
authors.lastname: Mateos
mesh_terms: D000222:Adaptation, Physiological / Q000502:physiology; D000465:Algorithms; D000818:Animals; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D005246:Feedback / Q000502:physiology*; D006801:Humans; D008954:Models, Biological; D008956:Models, Chemical; D020409:Molecular Motor Proteins / Q000737:chemistry* / Q000502:physiology*; D009038:Motion; D009068:Movement / Q000502:physiology*; D017711:Nonlinear Dynamics; D013997:Time Factors
chemical_list: D020409:Molecular Motor Proteins