J. Austral. Math. Soc.
73 (2002), 37-53
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The number of limit cycles for a class of quintic Hamiltonian systems under quintic perturbations
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Guowei Chen
Department of Mathematics
Fuzhou University
Fuzhou 350002
China
gnchen@fzu.edu.cn
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Yongbin Wu
Department of Mathematics
Fuzhou University
Fuzhou 350002
China
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Xinan Yang
Department of Mathematics
Fuzhou University
Fuzhou 350002
China
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Abstract
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The Hopf bifurcation and homoclinic bifurcation
of the quintic Hamiltonian system is analyzed
under quintic perturbations by using unfolding
theory in this paper. We show that a quintic
system can have at least 29 limit cycles.
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