DocumentCode :
1707146
Title :
Bifurcation of Limit Cycles for a Quintic System
Author :
Hong, Xiao-Chun
Author_Institution :
Sch. of Math. & Inf. Sci., Qujing Normal Univ., Qujing, China
fYear :
2010
Firstpage :
266
Lastpage :
270
Abstract :
Bifurcation of limit cycles for a quintic system is investigated using both qualitative analysis and numerical exploration. The investigation is based on detection functions which are particularly effective for the quintic system. The study reveals that the quintic system has 8 limit cycles using detection function approach, and two different distributed orderliness of 8 limit cycles for the quintic system are shown. By using method of numerical simulation, these limit cycles are observed and their nicety places are determined. The study also indicates that each of these limit cycles passes the corresponding nicety point. The results presented here are helpful for further investigating the Hilbert´s 16th problem.
Keywords :
Hilbert spaces; bifurcation; limit cycles; numerical analysis; polynomials; Hilbert problem; detection function; limit cycle bifurcation; numerical simulation; polynomial system; qualitative analysis; quintic system; Bifurcation; Chaos; Fractals; Limit-cycles; Orbits; Polynomials; detection function; limit cycle; numerical exploration; quintic system;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on
Conference_Location :
Kunming, Yunnan
Print_ISBN :
978-1-4244-8815-5
Type :
conf
DOI :
10.1109/IWCFTA.2010.88
Filename :
5671157
Link To Document :
بازگشت