Title :
Dynamical complexity of a typical nonlinear system
Author :
Zhang, Ya-gang ; Wu, Xiao-Kun ; Shi, Hui-feng ; Wang, Zeng-ping
Author_Institution :
Key Lab. of Power Syst. Protection & Dynamic Security Monitoring & Control under Minist. of Educ., North China Electr. Power Univ., Baoding
Abstract :
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.
Keywords :
nonlinear control systems; stochastic processes; time-varying systems; dynamical complexity; frequency distribution; nonlinear system; ordinal passage time; stochastic symbolic sequences; visitation density function; Chaos; Cybernetics; Density functional theory; Frequency; Laboratories; Machine learning; Nonlinear dynamical systems; Nonlinear systems; Power system protection; Stochastic processes; Dynamical complexity; Nonlinear system; The first passage time; Visitation density;
Conference_Titel :
Machine Learning and Cybernetics, 2008 International Conference on
Conference_Location :
Kunming
Print_ISBN :
978-1-4244-2095-7
Electronic_ISBN :
978-1-4244-2096-4
DOI :
10.1109/ICMLC.2008.4620788
