非自治离散系统的分布混沌性

Distributional Chaos in Nonautonomous Discrete Systems

该文在非自治离散系统中定义了分布混沌,研究了映射序列f_(n,∞)=(f_n,f_(n+t),…),_n∈N(N为自然数集)的混沌行为,讨论了f_(n,∞)的分布混沌性是否意味着乘积系统f_(n,∞)^([m])(m为正整数)的分布混沌性,或者后者的分布混沌性是否意味着前者的分布混沌性.

New definition of distributional chaos in nonautonomous discrete systems is given. This paper studies the chaotic behaviour of sequences fn,∞=（fn,fn＋t,…）,A↓n∈N（N is the set of natural numbers）, and discusses that whether the distributional chaoticity of fn,∞ implies the distributional chaoticity of fn,∞^[m]（m is a positive integer）, or vice versa.