Anomalous resonance phenomena of solitary waves with internal modes
Anomalous resonance phenomena of solitary waves with internal modes
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内模孤波反常共振现象
DOI：
10.1103/physrevlett.84.871
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发表时间：
1999
影响因子：
8.6
通讯作者：
F. Mertens
中科院分区：
文献类型：
--
作者：
N. Quintero;Angel Sánchez;F. Mertens
本文研究了具有频率为Ω（i）的内模的非线性Klein-Gordon孤立波的非参数纯交流驱动动力学。我们表明，最强的共振时，驱动频率δ = Ω（i）/2，而当δ = Ω（i）的共振较弱，消失的非零阻尼。在共振时，扭结质心的动力学变得混乱。由于共振机制的对称性，我们将其确定为与内部模式的间接耦合，因此我们预计其他系统也会有类似的结果。
We investigate the nonparametric, pure ac driven dynamics of nonlinear Klein-Gordon solitary waves having an internal mode of frequency Omega(i). We show that the strongest resonance arises when the driving frequency delta = Omega(i)/2, whereas when delta = Omega(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 indirect coupling to the internal mode due to its symmetry, we expect similar results for other systems.