【摘要】 specification性质是一种重要的动力性质,对连续的区间映射和树映射,该性质与拓扑混合等价。对紧致度量空间,满足POTP性质的拓扑混合映射具有specification性质。文章对紧致度量空间上连续自映射,研究了弱specification性质与各种混沌之间的关系,证明了具有弱specification性质的系统是Li-Yorke意义下混沌的,是Ruelle-Takens意义下混沌的,是处处混沌的,并且具有性质P。更多还原

【Abstract】 Specification is an important dynamical property, and it is equivalent to topological mixing for continuous mapping on the interval and the tree,and for the continuous map of compact metric space,POTP and topological mixing imply weak specification. Here studied are the relationships between the weak specification property and all kinds of chaos. It is proved that the system with weak specification must be Li-Yorke chaos, Ruelle-Takens chaos,chaos everywhere,and having the property of P.更多还原