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Bifurcation of Limit Cycles of a Perturbed Quadratic Reversible System

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3 Author(s)
Xiao-Chun Hong ; Sch. of Math. & Inf. Sci., Qujing Normal Univ., Qujing, China ; Jianxue Yan ; Shaolong Xie

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.

Published in:

Computational Intelligence and Design (ISCID), 2011 Fourth International Symposium on  (Volume:2 )

Date of Conference:

28-30 Oct. 2011