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 |
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| container_end_page | 464-1344 |
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| container_issue | 2014 |
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| container_title | Abstract and Applied Analysis |
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| creator | Sun, Xianbo Huang, Fengli Tang, Cangxin Qu, Simin |
| description | 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. |
| doi_str_mv | 10.1155/2014/792439 |
| format | Article |
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| ispartof | Abstract and Applied Analysis, 2014-01, Vol.2014 (2014), p.450-464-1344 |
| issn | 1085-3375 1687-0409 |
| language | eng |
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| source | DOAJ Directory of Open Access Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Wiley-Blackwell Open Access Titles; Alma/SFX Local Collection |
| subjects | Aircraft Economic models Emissions Oscillators Rational expectations Wind tunnels |
| title | Limit Cycles Bifurcated from Some Z_4-Equivariant Quintic Near-Hamiltonian Systems |
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