Devaney混沌的随机性质  

Some Stochastic Properties in Devaney's Chaos

作　　者：王涛[1] 贾诺[1] 

机构地区：[1]哈尔滨师范大学数学科学学院,黑龙江哈尔滨150025

出　　处：《数学的实践与认识》2010年第7期210-213,共4页Mathematics in Practice and Theory

基　　金：黑龙江省自然科学基金(A2007-11)

摘　　要：讨论了Devaney混沌的随机性质,证明了如果度量空间上的连续变换f是弱混合的,那么f是拓扑传递的,并且若f的周期点稠密,则f还是初值敏感的.Some stochastic properties in Devaney＇s chaos are presented. It is proved that continuous transformation f on a metric space is topologically transitive if it is weakly mixing. Furthermore, f is sensitively dependent on the initial value of iteration provided that the set of all period points of f is dense besides f is weakly mixing.

关 键 词：弱混合 拓扑传递 初值敏感 

分 类 号：O415.5[理学—理论物理]