拓扑链遍历映射  

Mapping of Topological Chain Ergodicity

作　　者：孟鑫[1] 关志强[2] 刘国清[3] 

机构地区：[1]吉林师范大学数学学院,吉林四平136000 [2]沈阳大学新民师范学院,沈阳110300 [3]大庆师范学院数学系,黑龙江大庆163712

出　　处：《吉林大学学报（理学版）》2008年第3期475-477,共3页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10771084)

摘　　要：通过引进链遍历的概念以及链遍历与拓扑遍历的关系,证明了拓扑遍历蕴涵链遍历但反之不然,指出对于满足伪轨跟踪性质的映射两种性质是等价的,并给出了动力系统序列与其生成的逆极限系统之间链遍历的相互蕴涵性,推广了拓扑遍历性已有的相应结果.By introducing the definition of chain ergodicity and its relationship with topological ergodicity, this paper proves that if topological ergodicity is fulfilled, the chain ergodicity will be fulfilled, too, while it＇ s not true conversely. Further, it is pointed out that the two properties of mapping which meet the demand of pseudo-orbit tracing properties are equivalent. In addition, the present paper presents that if the power system squence is fulfilled, its generated converse limit system will be fulfilled, too, and it＇s also true conversely and hence develops the corresponding theory of topological ergodicity.

关 键 词：链遍历 拓扑遍历 逆极限空间 

分 类 号：O189.1[理学—数学]