【摘要】 设（∑,σ）是两个符号的单边符号动力系统,（X,f）是紧致系统.如果存在连续满射h:X→∑,使得hof=σoh,则称（X,f）是（∑,σ）的扩充系统.本文研究（∑,σ）的扩充系统（X,f）的分布混沌性,通过在（∑,σ）中构造合适的符号序列,在扩充系统（X,f）中构造出了一个不可数的分布混沌集.证明了:若彐x∈∑,使得#h^-1（x）=1,则f是分布混沌的.更多还原

【Abstract】 Let(Σ,σ) be the one-sided symbolic dynamical system which has two symbols A compact system(X,f) is called an extended system of(Σ,σ) if there exists a continuous map h of X onto the symbolic space E such that h o f = σ o h.In this paper,we study the distributionally chaotic behaviour of the extended system(X,f).First,we construct special symbolic sequences in(Σ,σ),then using these symbolic sequences and the topological semiconjugacy between(Σ,σ) and(X,f),we construct a uncountable distributionally chaotic set in the extended system(X,f).It is proved that if there is a point x of Σ which preimage of h is a single point,then the extended system(X,f)is distributionally chaotic.更多还原