符号空间上一类强Devaney混沌

Strong Devaney Chaos of a Class of Sub-shift on Symbolic Space

该文通过对符号空间中子转移的混沌现象的深入探导,构造了一类符号空间中子转移的Devaney混沌集,并证明了这种混沌集不可数,从而证明它是一类强Devaney混沌.

The investigation of the chaotic properties of sub-shift on symbolic space create new fields for chaotic science, which makes us understand chaotic itself more clearly. This paper constructs devaney chaotic set of a class of sub-shift on symbolic space by deeply exploring the chaotic properties of sub-shift on symbolic space and proves that this chaotic set is uncountable, so prove that it is a class of strong devaney chaos.