与循环收缩IFS相关的移位动力系

The Shift Dynamical System Associated with the Cyclically Contracting IFS

本文对循环收缩迭代函数系进行了分类,并定义了相关的移位变换,讨论了移位动力系与提升移位动力系的混沌性态,得到了一些有趣的结果。

We denote by(X,d)a complete finitely campact metric space,M a irreducibletransition matrix,{f_1,……,f_m}a set of Lipschitz mapping and it is cyclically contracting withrespect to M,(B^1,……,B^m)the mixed invariant with respect to f_1,……,f_m and M。This paperclassifies the cyelically contracting IFS{X;f_i,……f_m;M}and defines the shift transformationS associated with cyclically contracting IFS{X;f_1,……,f_m;M}on A_M=(?)B_i and discusseschaotic nature of the shift dynamical system{A_M,S}and lifted shift dynamical.