LIMIT CYCLES FOR A CLASS OF QUINTIC NEAR-HAMILTONIAN SYSTEMS NEAR A NILPOTENT CENTER.

Authors :: JIANG, JIAO
ZHANG, JIZHOU
HAN, MAOAN
Source :: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering. Jun2009, Vol. 19 Issue 6, p2107-2113. 7p.
Publication Year :: 2009
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. [ABSTRACT FROM AUTHOR]

Subjects :: *HAMILTONIAN systems
*NILPOTENT groups
*FINITE groups
*DIFFERENTIABLE dynamical systems
*BIFURCATION theory

Language :: English
ISSN :: 02181274
Volume :: 19
Issue :: 6
Database :: Academic Search Index
Journal :: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
Publication Type :: Academic Journal
Accession number :: 44071198
Full Text :: https://doi.org/10.1142/S0218127409023949

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