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Modulation of the breather frequency in the ac-driven sine-Gordon system with loss |
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| Institution: | Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, University of California, Los Alamos, NM 87545, USA;Center for Theoretical Physics, Polish Academy of Sciences, Al. Lotników 32/46, 02-668, Warszawa, Poland;Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv 03143, Ukraine |
| Abstract: | In the sine-Gordon system with loss a breather can be maintained in a steady state if an ac-force of sufficient strength is applied. A small disturbance of this steady state results in a modulation of the breather frequency. The frequency of the modulation is much smaller than the breather frequency and the modulation eventually decays. This modulation frequency is determined by a perturbation method and compared with numerical experiments. Excellent agreement is found. |
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