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Anomalous resonance phenomena of solitary waves with internal modes

Niurka R. Quintero·Angel Sanchez·Franz G. Mertens
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Abstract

We investigate the non-parametric, pure ac driven dynamics of nonlinear Klein-Gordon solitary waves having an internal mode of frequency $Ω_i$. We show that the strongest resonance arises when the driving frequency $δ=Ω_i/2$, whereas when $δ=Ω_i$ 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 {\em indirect} coupling to the internal mode due to its symmetry, we expect similar results for other systems.

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Niurka R. Quintero, Angel Sanchez, Franz G. Mertens. 1999-11-30. Anomalous resonance phenomena of solitary waves with internal modes. https://doi.org/10.1103/physrevlett.84.871

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