Realization of periodic orbits of bernouilli shift map in a digital computer
Meng Jun · Journal of Zhejiang University(Engineering Science) · 2001
We deduce the analytical formula of periodic points of Bernouilli shift map and analyze the necessary and sufficient conditions. We can simply get the exact value of any periodic points in Bernouilli shift map, and it is very easy to verify whether points are periodic points and determine which periodic points they are. We analyze the problem when we draw the periodic orbits in a digital computer and give a method to overcome this problem. At last we are successful in drawing the periodic orbits in a digital computer. At the same time we give the exampls of state changing figures at three conditions. The base is provided for deeply studying of chaotic theory.