Resonant regions of Josephson junction equation in case of large damping

The dynamics of Josephson junction equation in case of damping α > 2 is investigated numerically. In this case the second-order system can be asymptotically reduced in the large to a one-dimensional circle map. We study the parametric dependence of the resonances of this system and plot the reson...

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Bibliographic Details
Published in:Physics letters. A 2008-05, Vol.372 (20), p.3640-3644
Main Authors: Qian, Min, Wang, Jia-Zeng, Zhang, Xue-Juan
Format: Article
Language:English
Subjects:
Arnold tongues
Invariant circle
Josephson junction
Winding number
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Summary:The dynamics of Josephson junction equation in case of damping α > 2 is investigated numerically. In this case the second-order system can be asymptotically reduced in the large to a one-dimensional circle map. We study the parametric dependence of the resonances of this system and plot the resonant regions in two-dimensional parameter space. The periodic variation of the widths of harmonic regions with increase of the periodic driving force is observed. In the limit of infinite damping, we study a first order system through suitable re-scaling and the same property is observed. We conjecture this may caused by the competition between the periodic potential and the periodic external driving in these systems.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2008.02.029