摘要
对于一个动力系统 ,当它是度量传递的时可以证明它是拓扑传递的 ,但是 ,它的反命题却不一定成立 在文 [6 ]的基础上 ,对二维有限亏格的可定向闭曲面上的解析动力系统进行了分析 。
For a dynamical system ,it will be topological transitivity of it is metric transitivity.Morse conjectured that its converse was probably true in analytic system or system with some metric transitivity in ordinary differential analytic system in closed directed two-dimensional surface of finite genus by using the properties of the limited set.
关键词
度量传递性
拓扑传递性
有限亏格
解析动力系统
metric transitivity
topological transitivity
ordinary differential analytic system
limited set
