| pi-kinks in Strongly AC Driven Sine-Gordon Systems (1998) | |||||||||||||
Abstract | |||||||||||||
| We demonstrate that ß-kinks can exist in non-parametrically AC driven sineGordon 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 fixed points in the sine-Gordon phase. The pairwise symmetry of these fixed points implies the existence of a one-parameter family of ß-kink solutions in the reduced system. In the dissipative case the velocity is selected and only one of the kink solutions survives. The results are derived from a perturbation analysis and verified by direct numerical simulations. 1 Introduction Soliton bearing systems are very important for our understanding of collective phenomena in many physical systems in the one dimensional approximation [1]. Often, such systems are perturbed in one form or another and sometimes these perturbations are temporally periodic [2]. If the perturbations are small, one can approximate the dynamics of the system through the adiabatic perturbation ... | |||||||||||||
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