关于d-跟踪性质的一个注记  

A Remark on the d-shadowing Property

作　　者：文华艳[1] 

机构地区：[1]西南科技大学城市学院,四川绵阳621000

出　　处：《数学的实践与认识》2017年第14期299-304,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11171054);四川省教育厅科学研究基金(14ZB0007)

摘　　要：得到动力系统不具有d-跟踪性质和d-跟踪性质的一个充分条件.从而改进了文献[Journal of Difference Equations and Applications,16(2010):1131-1140]的定理3.1.同时证明Proximal系统必然具有d-跟踪性质.作为推论,得到存在具有d-跟踪性质的满支系统,其只含一个几乎周期点.A sufficient condition ensuing that a dynamical system does not have the dshadowing property or the d-shadowing property is obtained; improving Theorem 3.1 in[Journal of Difference Equations and Applications, 16（2010）： 1131-1140]. Besides, it is proved that every proximal dynamical system has the d-shadowing property. As a corollary, it is obtained the existence of a dynamical system with the full support having the d-shadowing property which only contains one almost periodic point.

关 键 词：d-跟踪性质 平均跟踪性质 

分 类 号：O189.11[理学—数学] O19[理学—基础数学]