摘要
研究了自由半群上的渐近平均跟踪性质,把由连续开自映射作用在紧致的度量空间上生成的自由半群作为迭代函数系统,利用迭代函数系统所对应的斜积变换导出了该自由半群有渐近平均跟踪性质的充分条件是它所对应的斜积变换也有渐近平均跟踪性质的结论,并导出了一些与经典动力系统相关的结论。
The asymptotic average tracking prop erty on free semigroup was studied.Taking the free semigroup generated by the continuous open self-map on the compact metric space as the iterative function system,the sufficient condition that the free semigroup has asymptotic average tracking property is that the corresponding skew product transformation also has asymptotic average tracking property using the skew product transformation corresponding to the iterative function system.Some conclusions related to classical dynamical system are derived.
作者
曾鹏
ZENG Peng(Huashang College,Guangdong University of Finance and Economics,Guangzhou 511300,China)
出处
《新乡学院学报》
2020年第6期3-5,20,共4页
Journal of Xinxiang University
基金
广东财经大学华商学院校内学术类科研项目(2019HSDS23)。
关键词
自由半群
渐近平均跟踪
斜积变换
迭代函数
free semigroup
asymptotic average tracking
skew product transformation
iterative function
作者简介
曾鹏(1989-),男,江西吉安人,硕士,研究方向:拓扑动力系统与偏微分方程。
