Controlling current reversals in synchronized underdamped ratchets

A pair of underdamped ratchets, coupled via a perturbed asymmetric potential, is shown to make a transition to a fully synchronized state wherein stable controlled transport is achieved when the coupling strength exceeds a threshold at which the collective dynamics is attained. This transition to co...

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Veröffentlicht in:	Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2010-04, Vol.43 (16), p.165101-165101
Hauptverfasser:	Vincent, U E, Olusola, O I, Mayer, D, McClintock, P V E
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymmetry Criteria Estimates Exact sciences and technology Joining Mathematical analysis Physics Stability Thresholds Transport
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creator	Vincent, U E Olusola, O I Mayer, D McClintock, P V E
description	A pair of underdamped ratchets, coupled via a perturbed asymmetric potential, is shown to make a transition to a fully synchronized state wherein stable controlled transport is achieved when the coupling strength exceeds a threshold at which the collective dynamics is attained. This transition to collective transport is connected to a chaos-periodic/quasiperiodic bifurcation in which current reversal is completely eliminated. Based on the Lyapunov stability theory and linear matrix inequalities, we give some necessary and sufficient criteria for stable controlled transport and obtain an exact analytic estimate of the threshold (kth) for the onset of stable controlled current.
doi_str_mv	10.1088/1751-8113/43/16/165101
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subjects	Asymmetry Criteria Estimates Exact sciences and technology Joining Mathematical analysis Physics Stability Thresholds Transport
title	Controlling current reversals in synchronized underdamped ratchets
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