Chaos for Pinned Sine-Gordon Soliton

Abstract

Dynamical behaviors for sine-Gordon soliton pinned to the impurity are studied numerically by solving a set of ordinary differential equations which are derived from the sine-Gordon equation under the external periodic field with perturbation theory. Chaotic motion occurs through the sequence of period-doubling bifurcation. As the amplitude of the external force further increases, a crisis occurs and the intensity of the chaotic motion increases. Furthermore for larger external fields the soliton is dispinned and begins to propagate.