Limit Cycles Bifurcated from Some Z_4-Equivariant Quintic Near-Hamiltonian Systems

Limit Cycles Bifurcated from Some Z_4-Equivariant Quintic Near-Hamiltonian Systems

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...

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Veröffentlicht in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.450-464-1344
Hauptverfasser: Sun, Xianbo, Huang, Fengli, Tang, Cangxin, Qu, Simin
Format: Artikel
Sprache:eng
Schlagworte:
Aircraft
Economic models
Emissions
Oscillators
Rational expectations
Wind tunnels
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Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/792439