ABSTRACT
Symbolic dynamical system originated from J. Hadmard [1] and M. Morse [2] in the nineteenth Century and twentieth Century. It has a wide range of applications, including chaos in physics, meteorology, computational complexity, coding, computer science and the general dynamical system. In dynamical system, it is not only an important research object, also is to provide examples, proving the existence, a powerful research tool to reveal the chaotic phenomena in some systems. There is a strict mathematical description of it and its application on theory research in dynamical system in [3].
