中文摘要：

本文讨论了在N=2以及纤维映射f0,f1均为旋转时,疯狂动力系统的周期点是否稠密,以及拓扑传递情况,进而得出在参数α0,α1取不同值时,疯狂动力系统的Devaney混沌情况,同时还涉及疯狂动力系统的拓扑遍历情况。

英文摘要：

In this paper, we discuss the set of periodic points of the crazy dynamic system whether dense in the case N=2 and where the associated maps are rotations, and the crazy maps whether topologically transitive, in further we study Devaney chaos and topologically ergodic for the crazy dynamic system, when the parameters take different values.