本文综述了强流离子束的基本动力学方程及其基本动力学特性，单离子运动方程，束晕-混沌形成的典型物理机制及其主要控制方法。
The dynamic equation and the dynamic trait of high-current ion beams, the main mechanism of halo-chaos formation and several main nonlinear controlling methods are summarized in the paper.
为了对驻波激光器的混沌现象进行数值模拟，需要建立驻波腔中对数学运算具有可行性的动力学方程。
In order to make a numerical simulation of the chaos in standing wave laser, a feasible dynamic equation in mathematical evaluation is required.
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