Abstract
A perturbed sine-Gordon equation which includes the terms of disspation, inhomogeneity made by impurities and external force is numerically studied. Particularly we investigate a scattering soliton by the impurity potential. The residence time, which is defined as the time that the soliton is trapped by an impurity, strongly depends on the initial conditions and shows self-similar structures. The distribution function of the residence times has a peculiar staircase-like form. The distribution functions for low dimensional mappings are also calculated and compared with the soliton case.
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