Bifurcations of limit cycles for a perturbed cubic system with double figure eight loop
This paper is concerned with the distribution and number of limit cycles for a cubic Hamiltonian system under cubic perturbation. The fact that there exist seven limit cycles is proved. The different distributions of limit cycles are given by using the methods of bifurcation theory and qualitative a...
| Main Authors: | , , |
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| Format: | Journal Article |
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World Scientific Publishing
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/24791 |
| _version_ | 1848751527448018944 |
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| author | Zhang, Tongua Zang, Hong Tade, Moses O. |
| author_facet | Zhang, Tongua Zang, Hong Tade, Moses O. |
| author_sort | Zhang, Tongua |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper is concerned with the distribution and number of limit cycles for a cubic Hamiltonian system under cubic perturbation. The fact that there exist seven limit cycles is proved. The different distributions of limit cycles are given by using the methods of bifurcation theory and qualitative analysis, and the distributions of seven limit cycles are newly established. |
| first_indexed | 2025-11-14T07:54:09Z |
| format | Journal Article |
| id | curtin-20.500.11937-24791 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:54:09Z |
| publishDate | 2013 |
| publisher | World Scientific Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-247912017-09-13T15:10:44Z Bifurcations of limit cycles for a perturbed cubic system with double figure eight loop Zhang, Tongua Zang, Hong Tade, Moses O. Hamiltonian system perturbation limit cycles stability Homoclinic bifurcation heteroclinic bifurcation This paper is concerned with the distribution and number of limit cycles for a cubic Hamiltonian system under cubic perturbation. The fact that there exist seven limit cycles is proved. The different distributions of limit cycles are given by using the methods of bifurcation theory and qualitative analysis, and the distributions of seven limit cycles are newly established. 2013 Journal Article http://hdl.handle.net/20.500.11937/24791 10.1142/S0218127413500673 World Scientific Publishing restricted |
| spellingShingle | Hamiltonian system perturbation limit cycles stability Homoclinic bifurcation heteroclinic bifurcation Zhang, Tongua Zang, Hong Tade, Moses O. Bifurcations of limit cycles for a perturbed cubic system with double figure eight loop |
| title | Bifurcations of limit cycles for a perturbed cubic system with double figure eight loop |
| title_full | Bifurcations of limit cycles for a perturbed cubic system with double figure eight loop |
| title_fullStr | Bifurcations of limit cycles for a perturbed cubic system with double figure eight loop |
| title_full_unstemmed | Bifurcations of limit cycles for a perturbed cubic system with double figure eight loop |
| title_short | Bifurcations of limit cycles for a perturbed cubic system with double figure eight loop |
| title_sort | bifurcations of limit cycles for a perturbed cubic system with double figure eight loop |
| topic | Hamiltonian system perturbation limit cycles stability Homoclinic bifurcation heteroclinic bifurcation |
| url | http://hdl.handle.net/20.500.11937/24791 |