Dynamical complexity of a typical nonlinear system

The dynamical complexity of a typical nonlinear system will be clarified in this paper. These stochastic symbolic sequences bear three features. The distribution of frequency, inter-occurrence times, the first passage time and the r-th passage time are discussed carefully. Especially, one introduces ordinal passage time and gives certain distribution functions in this typical nonlinear system. Finally, the visitation density function is obtained by Frobenius-Perron(F-P) operator P.