符号空间及其与吸引子的关系

Properties of the Shift Space and the Relations Between It and the Cantor set C

首先讨论了在研究分形集时我们经常要用到的一个重要工具——符号空间,给出了它的若干拓扑性质.另外通过分析符号空间(∑∞,rδ)的几何性质,探讨了符号空间(∑∞,rδ)与吸引子之间的关系.

Firstly, this paper has discussed the topological properties of the shift space, which is an important tool to study the fractal set. Then, based on the analysis on the geometrical properties of the shift space （ ∑^∞ ,δr） , this paper has discussed the relations between the shift space（ ∑^∞ ,δr） and the attractor.