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Controlling current reversals in synchronized underdamped ratchets.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Controlling current reversals in synchronized underdamped ratchets. / Vincent, Uchechukwu; Olusola, O. I.; Mayer, D. et al.
In: Journal of Physics A: Mathematical and Theoretical, Vol. 43, No. 16, 31.03.2010, p. 165101.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Vincent, U, Olusola, OI, Mayer, D & McClintock, PVE 2010, 'Controlling current reversals in synchronized underdamped ratchets.', Journal of Physics A: Mathematical and Theoretical, vol. 43, no. 16, pp. 165101. https://doi.org/10.1088/1751-8113/43/16/165101

APA

Vincent, U., Olusola, O. I., Mayer, D., & McClintock, P. V. E. (2010). Controlling current reversals in synchronized underdamped ratchets. Journal of Physics A: Mathematical and Theoretical, 43(16), 165101. https://doi.org/10.1088/1751-8113/43/16/165101

Vancouver

Vincent U, Olusola OI, Mayer D, McClintock PVE. Controlling current reversals in synchronized underdamped ratchets. Journal of Physics A: Mathematical and Theoretical. 2010 Mar 31;43(16):165101. doi: 10.1088/1751-8113/43/16/165101

Author

Vincent, Uchechukwu ; Olusola, O. I. ; Mayer, D. et al. / Controlling current reversals in synchronized underdamped ratchets. In: Journal of Physics A: Mathematical and Theoretical. 2010 ; Vol. 43, No. 16. pp. 165101.

Bibtex

@article{4909f754a1354259bf689f601956405e,
title = "Controlling current reversals in synchronized underdamped ratchets.",
abstract = "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.",
author = "Uchechukwu Vincent and Olusola, {O. I.} and D. Mayer and McClintock, {P. V. E.}",
year = "2010",
month = mar,
day = "31",
doi = "10.1088/1751-8113/43/16/165101",
language = "English",
volume = "43",
pages = "165101",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "16",

}

RIS

TY - JOUR

T1 - Controlling current reversals in synchronized underdamped ratchets.

AU - Vincent, Uchechukwu

AU - Olusola, O. I.

AU - Mayer, D.

AU - McClintock, P. V. E.

PY - 2010/3/31

Y1 - 2010/3/31

N2 - 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.

AB - 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.

U2 - 10.1088/1751-8113/43/16/165101

DO - 10.1088/1751-8113/43/16/165101

M3 - Journal article

VL - 43

SP - 165101

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 16

ER -