## Abstract and Applied Analysis

### Limit Cycles Bifurcated from Some ${Z}_{4}$-Equivariant Quintic Near-Hamiltonian Systems

#### Abstract

We study the number and distribution of limit cycles of some planar ${Z}_{4}$-equivariant quintic near-Hamiltonian systems. By the theories of Hopf and heteroclinic bifurcation, it is proved that the perturbed system can have 24 limit cycles with some new distributions. The configurations of limit cycles obtained in this paper are new.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 792439, 15 pages.

Dates
First available in Project Euclid: 3 October 2014

https://projecteuclid.org/euclid.aaa/1412361171

Digital Object Identifier
doi:10.1155/2014/792439

Mathematical Reviews number (MathSciNet)
MR3178887

Zentralblatt MATH identifier
07023082

#### Citation

Qu, Simin; Tang, Cangxin; Huang, Fengli; Sun, Xianbo. Limit Cycles Bifurcated from Some ${Z}_{4}$ -Equivariant Quintic Near-Hamiltonian Systems. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 792439, 15 pages. doi:10.1155/2014/792439. https://projecteuclid.org/euclid.aaa/1412361171

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