Fractional order hperjerk system with delay feedback

Author

Wang, Wenlong ; Li, Gao ; Zhang, Chunrui

Author_Institution

Dept. of Math., Northeast Forestry Univ., Harbin, China

Volume

6

fYear

2010

fDate

10-12 Aug. 2010

Firstpage

3054

Lastpage

3058

Abstract

In this paper, a fractional order hyperjerk system is considered. Firstly, we construct the fractional order hyperjerk system´s corresponding approximation integer order system by using time domain and frequency domain. Then, we analyze the dynamic properties of this integer order system, including stability, periodic solution and chaos. The application to chaotic delayed feedback control is investigated. Finally, some numerical simulations are carried out to illustrate the obtained results.

Keywords

approximation theory; delay systems; feedback; nonlinear control systems; stability; time-frequency analysis; time-varying systems; approximation integer order system; chaos; chaotic delayed feedback control; fractional order hperjerk system; frequency domain analysis; periodic solution; stability; time domain analysis; Approximation methods; Bifurcation; Chaos; Fractals; Solitons; Time series analysis; Hopf bifurcations; chaos; delayed Feedback; fractional order hyperjerk system; periodic solution;

fLanguage

English

Publisher

ieee

Conference_Titel

Natural Computation (ICNC), 2010 Sixth International Conference on

Conference_Location

Yantai, Shandong

Print_ISBN

978-1-4244-5958-2

Type

conf

DOI

10.1109/ICNC.2010.5582408

Filename

5582408