拓扑链混合映射的讨论

Study on Maps of Topological Chain Mixing

通过讨论l次迭代下链混合与拓扑混合的关系,证明了拓扑混合蕴涵链混合但反之不成立,指出了对于满足伪轨跟踪性质的映射两种性质是等价的,并给出了链混合性质在拓扑共轭作用下是保持不变的。

By discussing the relationships of topological chain mixing and topological mixing of, this pa- per proves that if topological mixing is fulfilled, topological chain mixing will be fulfilled too, while it＇s not true conversely. Further, it＇s pointed out that the two properties of mapping which meet the demand of pseudo orbit tracing properties are equivalent.