The dynamical behaviour of weakly nonlinear, low-frequency sound waves are investigated in a plasma composed of only positive and negative ions incorporating the effects of a weak external uniform magnetic field. In the plasma model the mass (temperature) of the positive ions is smaller (larger) than that of the negative ions. The dynamics of the nonlinear wave is shown to be governed by a novel nonlinear equation. The stationary plane wave (analytical and numerical) nonlinear analysis on the basis of experimental parameters reveals that the nonlinear wave does have quasi-periodic and chaotic solutions. The Poincarè return map analysis confirms these observed complex structures.

中文翻译：

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正负离子磁化等离子体的混沌

在仅由正离子和负离子组成的等离子体中研究弱非线性低频声波的动力学行为，并结合弱外部均匀磁场的影响。在等离子体模型中，正离子的质量（温度）小于（大于）负离子的质量。非线性波的动力学被证明是由一个新的非线性方程控制的。基于实验参数的驻平面波（解析和数值）非线性分析表明，非线性波确实具有准周期和混沌解。庞加莱回归图分析证实了这些观察到的复杂结构。