Poincaré Bifurcations of Two Classes of Polynomial Systems
Using bifurcation methods and the Abelian integral, we investigate the number of the limit cycles that bifurcate from the period annulus of the singular point when we perturb the planar ordinary differential equations of the form , with an arbitrary polynomial vector field, where or .
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/861329 |
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| _version_ | 1832550237192847360 |
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| author | Jing Wang Shuliang Shui |
| author_facet | Jing Wang Shuliang Shui |
| author_sort | Jing Wang |
| collection | DOAJ |
| description | Using bifurcation methods and the Abelian integral, we investigate the number of the limit cycles that bifurcate from the period annulus of the singular point when we perturb the planar ordinary differential equations of the form , with an arbitrary polynomial vector field, where or . |
| format | Article |
| id | doaj-art-b554aa0c192f4d0d99d0f6c052a2008c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b554aa0c192f4d0d99d0f6c052a2008c2025-02-03T06:07:23ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/861329861329Poincaré Bifurcations of Two Classes of Polynomial SystemsJing Wang0Shuliang Shui1College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, ChinaCollege of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, ChinaUsing bifurcation methods and the Abelian integral, we investigate the number of the limit cycles that bifurcate from the period annulus of the singular point when we perturb the planar ordinary differential equations of the form , with an arbitrary polynomial vector field, where or .http://dx.doi.org/10.1155/2013/861329 |
| spellingShingle | Jing Wang Shuliang Shui Poincaré Bifurcations of Two Classes of Polynomial Systems Abstract and Applied Analysis |
| title | Poincaré Bifurcations of Two Classes of Polynomial Systems |
| title_full | Poincaré Bifurcations of Two Classes of Polynomial Systems |
| title_fullStr | Poincaré Bifurcations of Two Classes of Polynomial Systems |
| title_full_unstemmed | Poincaré Bifurcations of Two Classes of Polynomial Systems |
| title_short | Poincaré Bifurcations of Two Classes of Polynomial Systems |
| title_sort | poincare bifurcations of two classes of polynomial systems |
| url | http://dx.doi.org/10.1155/2013/861329 |
| work_keys_str_mv | AT jingwang poincarebifurcationsoftwoclassesofpolynomialsystems AT shuliangshui poincarebifurcationsoftwoclassesofpolynomialsystems |