【摘要】 设(E,e)是两个符号的动力系统,(X,f)是紧致系统,如果存在连续满射h:E→X,使得h e=f h,则称(X,f)是(E,e)的因子系统。本文证明了若(E,e)的因子系统是不可数集,则它是分布混沌的。更多还原

【Abstract】 Let(E,e) be a dynamical system which has two symbols,and(X,f) be a compact system.If there exists a continuous map h ofE→ X,such that h e=f h,then(X,f) is the factor system of(E,e).It is proved that if the factor system of(E,e) is uncountable set,then it is distributionally chaotic.更多还原