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- Title
LIMIT CYCLES FOR A CLASS OF QUINTIC NEAR-HAMILTONIAN SYSTEMS NEAR A NILPOTENT CENTER.
- Authors
JIANG, JIAO; ZHANG, JIZHOU; HAN, MAOAN
- Abstract
In this paper we deal with a centrally symmetric quintic near-Hamiltonian system whose unperturbed system is a simple cubic Hamiltonian system having a nilpotent center. We prove that the system can have ten limit cycles by using a homoclinic bifurcation method based on stability-change.
- Subjects
HAMILTONIAN systems; NILPOTENT groups; FINITE groups; DIFFERENTIABLE dynamical systems; BIFURCATION theory
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2009, Vol 19, Issue 6, p2107
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127409023949