本文讨论3阶Feigenbaum映射限制在非游荡集上的拓扑共轭性．一方面3阶Feigenbaum映射必然产生混沌,混沌的产生使得非游荡集复杂化;另一方面3阶Feigenbaum映射又分为单谷的和非单谷的两类．利用有限型子转移,证明了对任意给定的两个满足一定条件的3阶Feigenbaum映射,限制在其非游荡集上是拓扑共轭．

In this paper, we consider the topological conjugacy on 3-order Feigenbaum's maps which limited their nonwandering sets. 3-order Feigenbaum's maps must bring on chaos, and the nonwandering sets become complication for chaos. In addition, 3-order Feigenbaum's maps can be divided into two types-single-valley Feigenbaum's map and nonsingle-valley Feigenbaum's map. We make use of finite subshifting to proof that: for any two 3-order Feigenbaum's maps with some given conditions, they are topological conjugacy limited to their non-wandering sets.