Hopf bifurcation and uniqueness of limit cycle for a class of quartic system - Details

author：

Zhan, Q. (Zhan, Q..) ^[1] | Xie, X. (Xie, X..) ^[2] | Wu, C. (Wu, C..) ^[3] (Scholars：吴承强) | Qiu, S. (Qiu, S..) ^[4]

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Abstract：

This　paper　studies　a　class　of　quartic　system　which　is　more　general　and　realistic　than　the　quartic　accompanying　system.　x＇　=　-　y　+　ex　+　lx2　+　mxy　+　ny2,　y＇　=　x(1　-　Ay)(1　+　Cy2,　where　C　>　0.　Sufficient　conditions　are　obtained　for　the　uniqueness　of　limit　cycle　of　system　(*)　and　some　more　in-depth　conclusion　such　as　Hopf　bifurcation.　©　Editorial　Committee　of　Applied　Mathematics　2007.

Keyword：

Accompanying system; Bifurcation; Limit cycle; Uniqueness

Community：

[ 1 ] [Zhan, Q.]Dept. of Comput. and Inform., Fujian Agriculture and Forestry Univ., Fuzhou 350002, China
[ 2 ] [Xie, X.]Dept. of Math., Ningde Normal College, Ningde 352100, China
[ 3 ] [Wu, C.]College of Math. and Comput. Sci., Fuzhou Univ., Fuzhou 350002, China
[ 4 ] [Qiu, S.]Dept. of Math., Gannan Normal College, Ganzhou 341000, China

Reprint 's Address：

[Zhan, Q.]Dept. of Comput. and Inform., Fujian Agriculture and Forestry Univ., Fuzhou 350002, China

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Source ：

Applied Mathematics

ISSN： 1005-1031

CN： 33-1171/O

Year： 2007

Issue： 4

Volume： 22

Page： 388-392

1 . 2 0 0

JCR@2023

ESI Discipline： MATHEMATICS;

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