| Devaney混沌的随机性质 |
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| 引用本文： | 王涛,贾诺.Devaney混沌的随机性质[J].数学的实践与认识,2010,40(7). |
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| 作者姓名： | 王涛 贾诺 |
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| 作者单位： | 哈尔滨师范大学,数学科学学院,黑龙江,哈尔滨,150025 |
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| 基金项目： | 黑龙江省自然科学基金(A2007-11) |
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| 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.
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| 关 键 词： | 弱混合 拓扑传递 初值敏感 |
Some Stochastic Properties in Devaney's Chaos |
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| WANG Tao,JIA Nuo.Some Stochastic Properties in Devaney''s Chaos[J].Mathematics in Practice and Theory,2010,40(7). |
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| Authors: | WANG Tao JIA Nuo |
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| Institution: | WANG Tao,JIA Nuo (College of Mathematics,Harbin Normal University,Harbin 150025,China) |
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| Abstract: | 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. |
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| Keywords: | weak mixing topological transition sensitivity to initial conditions |
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