Feldman-Katok度量下Li-Yorke混沌和Proximal对  

Li-Yorke Chaos and Proximal Pair Under the Feldman-Katok Metric

作　　者：高昆梅 张瑞丰[1] GAO Kunmei;ZHANG Ruifeng(School of Mathematics,Hefei University of Technology,Hefei 230601,China)

机构地区：[1]合肥工业大学数学学院,合肥230601

出　　处：《大学数学》2023年第3期9-13,共5页College Mathematics

基　　金：国家自然科学基金(11871188)。

摘　　要：通过Feldman-Katok引入了FK Li-Yorke混沌和FK Proximal对,并且研究它们之间的关系.证明如果一个拓扑动力系统是FK敏感的,并且含有一个由传递点和周期点组成的FK Proximal对,则它是FK Li-Yorke混沌的.We introduce the notions of FK Li-Yorke chaos and FK Proximal pair in the setting of Feldman-Katok metric.We also studied the relationship between them.More precisely,we prove that if a topological dynamical system is FK sensitive and contains an FK Proximal pair consisting of a transitive point and a periodic point,it is FK Li-Yorke chaotic.

关 键 词：Feldman-Katok度量 FK Li-Yorke混沌 FK Proximal对 

分 类 号：O192[理学—数学]