裂峰映射倍周期分叉的复杂性

The Complication of Period Doubling Bifurcation in Gap Map

由于连续函数迭代映射的符号动力学在实际应用中的局限性，因此对非连续函数的符号动力学的研究是更具有实际应用的意义，正为人们普遍关注。混沌运动与周期轨道有着密切关系，本文讨论裂峰映射倍周期分岔过程中的复杂性，这表明裂峰映射通往混沌道路的多样性。并在可允条件下，简要给出倍周期生成规则的证明方法。

The research of symbolic dynamics on non consecutive maps is more practical than that of consecutive maps, especially in high dimensional space. The chaos is closely connected with periodic orbits, so in this paper we will discuss the complication of period doubling bifurcation in gap map, it implies that routes to chaos in gap map are diversified.