Phys. Rev. E 58, R52–R55 (1998)

π kinks in strongly ac driven sine-Gordon systems

Abstract

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Citing Articles (4)

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Vadim Zharnitsky¹, Igor Mitkov², and Niels Grønbech-Jensen³
¹Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912
²Center for Nonlinear Studies and Computational Science Methods Group, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
³Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

Received 16 March 1998; published in the issue dated July 1998

We demonstrate that π kinks exist in nonparametrically ac driven sine-Gordon systems if the ac drive is sufficiently fast. It is found that, at a critical value of the drive amplitude, there are two stable and two unstable equilibria in the sine-Gordon phase. The pairwise symmetry of these equilibria implies the existence of a one-parameter family of π-kink solutions in the reduced system. In the dissipative case of the ac driven sine-Gordon systems, corresponding to Josephson junctions, the velocity is selected by the balance between the perturbations. The results are derived from a perturbation analysis and verified by direct numerical simulations.

URL:

http://link.aps.org/doi/10.1103/PhysRevE.58.R52

DOI:

10.1103/PhysRevE.58.R52

PACS:

03.40.Kf, 52.35.Mw, 02.30.Jr

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Phys. Rev. E 58, R52–R55 (1998)

π kinks in strongly ac driven sine-Gordon systems

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