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.
出处
《数学的实践与认识》
CSCD
北大核心
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)
关键词
弱混合
拓扑传递
初值敏感
weak mixing
topological transition
sensitivity to initial conditions
