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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Wiley
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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| _version_ | 1832555067295662080 |
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| author | Jing Tian |
| author_facet | Jing Tian |
| author_sort | Jing Tian |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-b2f529e8fbbf4c0d949d21d72cbe2875 |
| 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-b2f529e8fbbf4c0d949d21d72cbe28752025-02-03T05:49:45ZengWileyAbstract 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 |
| spellingShingle | Jing Tian On the Number of Limit Cycles of a Piecewise Quadratic Near-Hamiltonian System Abstract and Applied Analysis |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2014/385103 |
| work_keys_str_mv | AT jingtian onthenumberoflimitcyclesofapiecewisequadraticnearhamiltoniansystem |