尘埃等离子体中尘埃电荷涨落引起的参量激发和混沌
Parametric excitation and chaos through dust-charge fluctuation in a dusty plasma
摘要：
本文考虑了一个含参量强迫的vanderPol-Mathieu（vdPM）方程，它产生于一个含尘埃电荷涨落的尘埃等离子体简化模型中。我们做了详细的数值研究，并表明该系统可以通过倍周期级联或通过一个亚临界分叉驱动到混沌在很宽的参数空间。我们还讨论了尘埃电荷波动动力学的频率夹带或频率锁定相位，并表明该系统具有2：1的参数共振远离混沌政权。
英文摘要：
We consider a van der Pol-Mathieu (vdPM) equation with parametric forcing, which arises in a simplified model of dusty plasma with dust-charge fluctuation. We make a detailed numerical investigation and show that the system can be driven to chaos either through a period doubling cascade or though a subcritical pitchfork bifurcation over an wide range of parameter space. We also discuss the frequency entrainment or frequency-locked phase of the dust-charge fluctuation dynamics and show that the system exhibits 2:1 parametric resonance away from the chaotic regime.
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