DocumentCode
535237
Title
Fractional order hyperjerk systems
Author
Wang, Yanzhi ; Zhang, Chunrui
Author_Institution
Dept. of Math., Northeast Forestry Univ., Harbin, China
Volume
7
fYear
2010
fDate
16-18 Oct. 2010
Firstpage
3418
Lastpage
3422
Abstract
In this paper, a fractional order hyperjerk system is considered. First, a integer order approximation system of fractional order hyperjerk was obtained by using time domain and frequency domain. Then, the dynamic properties of this integer order system is analyzed, including stability, periodic solution and chaos. Finally, some numerical simulations of fractional order system and it´s integer order approximation are carried out to illustrate the obtained results.
Keywords
approximation theory; differential equations; nonlinear control systems; stability; time-frequency analysis; time-varying systems; chaotic system; dynamic stability; fractional order hyperjerk system; integer order approximation system; periodic solution; time frequency domain; Chaos; Frequency domain analysis; Linear approximation; Numerical stability; Stability criteria; Chaos; Fractional order; Hyperjerk; Periodic solutions; Stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Image and Signal Processing (CISP), 2010 3rd International Congress on
Conference_Location
Yantai
Print_ISBN
978-1-4244-6513-2
Type
conf
DOI
10.1109/CISP.2010.5647391
Filename
5647391
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