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 |
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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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| _version_ | 1832562709589131264 |
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| author | Simin Qu Cangxin Tang Fengli Huang Xianbo Sun |
| author_facet | Simin Qu Cangxin Tang Fengli Huang Xianbo Sun |
| author_sort | Simin Qu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e3b12f893bb54a64a08bb6cca3b5725f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e3b12f893bb54a64a08bb6cca3b5725f2025-02-03T01:22:05ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/792439792439Limit Cycles Bifurcated from Some Z4-Equivariant Quintic Near-Hamiltonian SystemsSimin Qu0Cangxin Tang1Fengli Huang2Xianbo Sun3Department of Applied Mathematics, Guangxi University of Finance and Economics, Nanning, Guangxi 530003, ChinaDepartment of Applied Mathematics, Guangxi University of Finance and Economics, Nanning, Guangxi 530003, ChinaDepartment of Applied Mathematics, Guangxi University of Finance and Economics, Nanning, Guangxi 530003, ChinaDepartment of Applied Mathematics, Guangxi University of Finance and Economics, Nanning, Guangxi 530003, ChinaWe 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.http://dx.doi.org/10.1155/2014/792439 |
| spellingShingle | Simin Qu Cangxin Tang Fengli Huang Xianbo Sun Limit Cycles Bifurcated from Some Z4-Equivariant Quintic Near-Hamiltonian Systems Abstract and Applied Analysis |
| title | Limit Cycles Bifurcated from Some Z4-Equivariant Quintic Near-Hamiltonian Systems |
| title_full | Limit Cycles Bifurcated from Some Z4-Equivariant Quintic Near-Hamiltonian Systems |
| title_fullStr | Limit Cycles Bifurcated from Some Z4-Equivariant Quintic Near-Hamiltonian Systems |
| title_full_unstemmed | Limit Cycles Bifurcated from Some Z4-Equivariant Quintic Near-Hamiltonian Systems |
| title_short | Limit Cycles Bifurcated from Some Z4-Equivariant Quintic Near-Hamiltonian Systems |
| title_sort | limit cycles bifurcated from some z4 equivariant quintic near hamiltonian systems |
| url | http://dx.doi.org/10.1155/2014/792439 |
| work_keys_str_mv | AT siminqu limitcyclesbifurcatedfromsomez4equivariantquinticnearhamiltoniansystems AT cangxintang limitcyclesbifurcatedfromsomez4equivariantquinticnearhamiltoniansystems AT fenglihuang limitcyclesbifurcatedfromsomez4equivariantquinticnearhamiltoniansystems AT xianbosun limitcyclesbifurcatedfromsomez4equivariantquinticnearhamiltoniansystems |