Title :
Research of fractional order chaotic system based on time-frequency domain method
Author :
Xiaodan Liu ; Ping Yang ; Zhisheng Zhang ; Yongxin Wang
Author_Institution :
Sch. of Mech., Univ. of Electron. Sci. & Technol. of China, Chengdu, China
Abstract :
The definition of fractional differentiation and its approximation method are firstly introduced in this paper. Then the basic principle of time-frequency domain method is expounded, and the correctness of time-frequency domain method in the solution of fractional order differential equation is proven while combining with three different numerical analysis methods. Finally, time-frequency domain method is exerted on Chen´s system. And the chaotic features of whose integer order and fractional order are verified through theoretical analysis and simulation results.
Keywords :
difference equations; nonlinear control systems; time-frequency analysis; Chen system; fractional order; fractional order chaotic system; fractional order differential equation; integer order; numerical analysis methods; time-frequency domain method; Approximation methods; Chaotic communication; Differential equations; Frequency-domain analysis; Time-domain analysis; Chen´S system; chaotic system; fractional order; time-frequency domain method;
Conference_Titel :
Quality, Reliability, Risk, Maintenance, and Safety Engineering (QR2MSE), 2013 International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4799-1014-4
DOI :
10.1109/QR2MSE.2013.6625988
