Bifurcation of Limit Cycles of a Perturbed Quadratic Reversible System

Author

Hong, Xiao-Chun ; Yan, Jianxue ; Xie, Shaolong

Author_Institution

Sch. of Math. & Inf. Sci., Qujing Normal Univ., Qujing, China

Volume

2

fYear

2011

fDate

28-30 Oct. 2011

Firstpage

15

Lastpage

18

Abstract

Bifurcation of limit cycles of a perturbed quadratic reversible system is investigated by using both qualitative analysis and numerical exploration. The investigation is based on detection functions which are particularly effective for the perturbed quadratic reversible system. The study reveals that, the system has 3 limit cycles. By using method of numerical simulation, the distributed orderliness of the 3 limit cycles is observed, and their nicety places are determined. The study also indicates that each of the 3 limit cycles passes the corresponding nicety point.

Keywords

bifurcation; limit cycles; numerical analysis; polynomials; bifurcation; limit cycles; numerical exploration; numerical simulation; perturbed quadratic reversible system; qualitative analysis; Bifurcation; Educational institutions; Electronic mail; Limit-cycles; Orbits; Polynomials; detection function; limit cycle; numerical exploration; quadratic reversible system;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Intelligence and Design (ISCID), 2011 Fourth International Symposium on

Conference_Location

Hangzhou

Print_ISBN

978-1-4577-1085-8

Type

conf

DOI

10.1109/ISCID.2011.105

Filename

6079725