Journal article
Nonlinear dynamics of a parametrically driven sine-Gordon system
We consider a sine-Gordon system, driven by an ac parametric force in the presence of loss. It is demonstrated that a breather can be maintained in a steady state at half of the external frequency. In the small-amplitude limit the effect is described by an effective nonlinear Schrodinger equation. For an arbitrary frequency of the applied field the threshold field for the breather stabilization is determined by a perturbation method and it is compared to direct numerical simulations.
We also analyze the variation of the breather parameters in the stationary regime and calculate the frequency of such a modulation for a general type of driving force.
Language: | English |
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Year: | 1993 |
Pages: | 5013-5021 |
ISSN: | 10953795 , 01631829 , 1550235x and 24699950 |
Types: | Journal article |
DOI: | 10.1103/PhysRevB.47.5013 |