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.
出处
《数学的实践与认识》
北大核心
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)
