关于Li-Yorke δ-混沌与按序列分布δ-混沌的等价性  

THE EQUIVALENCE RELATIONSHIP BETWEEN LI-YORKE δ-CHAOS AND DISTRIBUTIONAL δ-CHAOS IN A SEQUENCE

作　　者：李健[1] 谭枫[1] 

机构地区：[1]华南师范大学数学科学学院,广东广州510631

出　　处：《华南师范大学学报（自然科学版）》2010年第3期34-38,共5页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10771079);广州市属高校科技计划资助项目(08C016)

摘　　要：关注Li-Yorke混沌和按序列分布混沌的关系,指出全体按序列Q分布δ-攀援偶对构成的集合为乘积空间中的一个Gδ集.证明了:(1)Li-Yorke δ-混沌等价于按序列分布δ-混沌;(2)一致混乱集是按某序列分布攀援集;(3)一类传递系统蕴含了按序列分布混沌.The relationship between Li-Yorke chaos and distributional chaos in a sequence is discussed.It is pointed out that the set of distributional δ-scramble pairs in a sequence Q is a Gδ set,and Li-Yorke δ-chaos is equivalent to distributional δ-chaos in a sequence.A uniformly chaotic set is a distributional scramble set in some sequence and a class of transitive system implies distributional chaos in a sequence.

关 键 词：LI-YORKE混沌 按序列分布混沌 传递系统 

分 类 号：O192[理学—数学]