Title :
Fractional order hyperjerk systems
Author :
Wang, Yanzhi ; Zhang, Chunrui
Author_Institution :
Dept. of Math., Northeast Forestry Univ., Harbin, China
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;
Conference_Titel :
Image and Signal Processing (CISP), 2010 3rd International Congress on
Conference_Location :
Yantai
Print_ISBN :
978-1-4244-6513-2
DOI :
10.1109/CISP.2010.5647391
