This paper investigates iterate dynamical analysis of a nonlinear function. The result shows movement orbit of point x have property as follows: (i)Movement orbit of point x has various complicated periodic orbit, the set formed by all periodic orbitis dense in interval [-2,2] . (ii) Movement orbit of point x either is dense in interval [-2,2] or will finally move into the set formed by all periodic orbit after finite mappings.%对一种非线性函数迭代的动力性质进行了分析，结果显示在函数的定义区间[－2，2]内，点χ的移动轨道具有如下性质：（i）点χ的移动轨道具有各种复杂的周期轨道，所有周期轨道形成的集合在区间[－2，2]内稠密，（ii）点χ的移动轨道或者在区间（－2，2）内稠密，或者经有限次映射后最终进入由所有的周期轨道形成的集合中。
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