论文标题
在设定的地图上及其反度限制上的Devaney混乱
Devaney Chaos on a Set-valued Map and Its Inverse Limit
论文作者
论文摘要
我们研究了设定值的图与其关于周期点集,传递性,灵敏度和Devaney混乱概念的逆极限之间的关系。设定值及其逆极限的周期点集的密度相互意味着彼此。设定值及其逆极限的敏感性并不意味着彼此。广义逆极限的传递性和Devaney混乱意味着集合值的相应特性。
We study relationships between a set-valued map and its inverse limits about the notion of periodic point set, transitivity, sensitivity and Devaney chaos. Density of periodic point set of a set-valued map and its inverse limits implies each other. Sensitivity of a set-valued map and its inverse limits does not imply each other. Transitivity and Devaney chaos of generalized inverse limits implies the corresponding property of a set-valued map.