摘要
证明了有渐近平均伪轨跟踪性质的非平凡紧致动力系统具有一致分布混沌或者按序列分布混沌。此外,在具有渐近平均伪轨跟踪性质系统中的分布混沌在测度中心是一致和稠密的,即有一个不可数的一致分布混沌集是由这样的点组成,它们的轨道闭包包含测度中心。作为一个推论,具有弱specification性质的系统也有类似的结果。
It is proved that a non- trivial compact dynamical system with asymptotic average shadowing property displays uniformly distributional chaos or distributional chaos in a sequence.Moreover,distributional chaos in a system with asymptotic average shadowing property can be uniform and dense in the measure center,that is,there is an uncountable uniformly distributionally scrambled set consisting of such points that the orbit closure of every point contains the measure center. As a corollary,the similar results hold for the system with almost specification property.
出处
《大连民族大学学报》
2016年第1期43-46,共4页
Journal of Dalian Minzu University
基金
国家自然科学基金项目(11271061)
中央高校基本科研业务费专项资金资助项目(DC201502050201)
