令(X,d)为一紧致度量空间,f:X→X为连续满射,其逆极限空间为lim←(X,f),σ为lim←(X,f)上的转移映射,主要证明若f为Martelli混沌的当且仅当σ为Martelli混沌的.
Let (X, d)be a compact metric space, and let f:X→X be a continuous surjection. Its inverse limit space is lim←(X,f) ,and σ is the shift map on lim←(X,f). This paper has proved thatfis Martelli chaotic if and only if σ is Martelli chaotic.