Anomalous Resonance Phenomena of Solitary Waves with Internal Modes

Abstract

We investigate the nonparametric, pure ac driven dynamics of nonlinear Klein-Gordon solitary waves having an internal mode of frequency Ωi. We show that the strongest resonance arises when the driving frequency δ=Ωi/2, whereas when δ=Ωi the resonance is weaker, disappearing for nonzero damping. At resonance, the dynamics of the kink center of mass becomes chaotic. As we identify the resonance mechanism as an indirect coupling to the internal mode due to its symmetry, we expect similar results for other systems.