On the Number of Limit Cycles of a Piecewise Quadratic Near-Hamiltonian System
This paper is concerned with the problem for the maximal number of limit cycles for a quadratic piecewise near-Hamiltonian system. By using the method of the first order Melnikov function, we find that it can have 8 limit cycles.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/385103 |
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doaj-b2f529e8fbbf4c0d949d21d72cbe28752020-11-25T01:04:28ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/385103385103On the Number of Limit Cycles of a Piecewise Quadratic Near-Hamiltonian SystemJing Tian0Department of Mathematics, Shanghai Normal University, Shanghai 200234, ChinaThis paper is concerned with the problem for the maximal number of limit cycles for a quadratic piecewise near-Hamiltonian system. By using the method of the first order Melnikov function, we find that it can have 8 limit cycles.http://dx.doi.org/10.1155/2014/385103 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jing Tian |
| spellingShingle |
Jing Tian On the Number of Limit Cycles of a Piecewise Quadratic Near-Hamiltonian System Abstract and Applied Analysis |
| author_facet |
Jing Tian |
| author_sort |
Jing Tian |
| title |
On the Number of Limit Cycles of a Piecewise Quadratic Near-Hamiltonian System |
| title_short |
On the Number of Limit Cycles of a Piecewise Quadratic Near-Hamiltonian System |
| title_full |
On the Number of Limit Cycles of a Piecewise Quadratic Near-Hamiltonian System |
| title_fullStr |
On the Number of Limit Cycles of a Piecewise Quadratic Near-Hamiltonian System |
| title_full_unstemmed |
On the Number of Limit Cycles of a Piecewise Quadratic Near-Hamiltonian System |
| title_sort |
on the number of limit cycles of a piecewise quadratic near-hamiltonian system |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2014-01-01 |
| description |
This paper is concerned with the problem for the maximal number of limit cycles for a quadratic piecewise near-Hamiltonian system. By using the method of the first order Melnikov function, we find that it can have 8 limit cycles. |
| url |
http://dx.doi.org/10.1155/2014/385103 |
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AT jingtian onthenumberoflimitcyclesofapiecewisequadraticnearhamiltoniansystem |
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