A CLASS OF QUADRATIC HAMILTONIAN SYSTEMS UNDER QUADRATIC PERTURBATION |
| |
| Authors: | Feng Jianwen Chen Shihua |
| |
| Affiliation: | Feng Jianwen,Chen Shihua Department of Mathematics,Wuhan University,Wuhan 430072,China |
| |
| Abstract: | This paper deals with a class of quadratic Hamiltonian systems with quadratic perturbation. The authors prove that if the first order Melnikov function M1 (h) 0 and the second order Melnikov function M2(h) 0, then the origin of the Hamiltonian system with small perturbation is a center. |
| |
| Keywords: | Melnikov function Hamiltonian system Center |
| 本文献已被 CNKI 等数据库收录！ |
|
