关于符号空间上比较映射δ的研究(I)

Research on the Comparing-Mapδon the Symbolic Space (Ⅰ)

摘要: 介绍了符号空间Σ2上的比较映射δ,通过构造一个无穷0-1矩阵T∞,证明了符号空间上的比较映射δ与移位映射σ拓扑共轭,并进一步研究了描述比较映射δ的周期点的某些特征,给出了刻画δ的某些周期点和广义周期点的几个等价条件。
- 拓扑共轭 /
- 符号动力系统 /
- 周期点
Abstract: In this paper, the comparing-mapδon the symbolic spaceΣ2is introduced. Then an infinite 0-1 matrix is constructed to prove thatδis topologically conjugate to the shiftmapσ. Furthermore, the characters of periodic points of the comparing-mapδare studied, and several equivalent conditions for certain periodic points and generalized periodic points are obtained.
- topological conjugacy /
- symbolic dynamical system /
- periodic points

点击查看大图