TITLE

On the Bifurcations of a Hamiltonian Having Three Homoclinic Loops under Z 3 Invariant Quintic Perturbations

AUTHOR(S)
Wu, Yu; Han, Mao
PUB. DATE
May 2007
SOURCE
Acta Mathematica Sinica;May2007, Vol. 23 Issue 5, p869
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
A cubic system having three homoclinic loops perturbed by Z 3 invariant quintic polynomials is considered. By applying the qualitative method of differential equations and the numeric computing method, the Hopf bifurcation, homoclinic loop bifurcation and heteroclinic loop bifurcation of the above perturbed system are studied. It is found that the above system has at least 12 limit cycles and the distributions of limit cycles are also given.
ACCESSION #
24718791

 

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