Limit Cycles Bifurcated from Some Z4-Equivariant Quintic Near-Hamiltonian Systems
We study the number and distribution of limit cycles of some planar Z4-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 o...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/792439 |
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| Summary: | We study the number and distribution of limit cycles of some planar Z4-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. |
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| ISSN: | 1085-3375 1687-0409 |