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LIMIT CYCLES OF SOME Z_3-EQUIVARIANT NEAR-HAMILTONIAN SYSTEMS OF DEGREES 3 AND 4 |
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| Authors: | Christoph Lhotka |
| Institution: | Dept.of Astromony Wien University A-1180 Vienna Austria |
| Abstract: | This paper studies the number of limit cycles of some Z3-equivariant near-Hamiltonian systems of degrees 3 and 4,which are a perturbation of a cubic Hamiltonian system. By the Melnikov function method,we obtain 5 and 6 limit cycles respectively. |
| Keywords: | limit cycles Z3-equivariance near-Hamiltonian systems Melnikov function |
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