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The number of limit cycles for a class of quintic Hamiltonian systems under quintic perturbations

Published online by Cambridge University Press:  09 April 2009

Xinan Yang
Affiliation:
Department of Mathematics, Fuzhou University, Fuzhou 350002, China e-mail: [email protected]
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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2002

References

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