本文给出了符号动力系统的一般数学模型,它是离散时空系统的一种特殊情形.在现有离散时空系统的混沌概念和研究方法的基础上,研究了这类广义符号动力系统的混沌性,得到了一类在Devaney意义下新的广义符号混沌动力系统,从而推广了现有符号动力系统混沌性的研究范围.
In this paper, we establish some generalized mathematical model of symbolic dynamical systems, which are special cases of discrete spatiotemporal systems. Based on existing concepts and methods in discrete spatiotemporal systems, we discuss chaos of these generalized symbolic dynamical systems and obtain a class of new chaotic symbolic dynamical systems in the sense of Devaney, which extends the scope of the current research on symbolic dynamical systems.