The Number and Distributions of Limit Cycles for a Class of Quintic Near-Hamiltonian Systems

Authors:
Hong Zang;Maoan Han;Tonghua Zhang;M. O. Tadé
Affiliations:
Department of Mathematics, Shanghai Normal University, Shanghai, 200234, P.R. China;Department of Mathematics, Shanghai Normal University, Shanghai, 200234, P.R. China;Department of Chemical Engineering, Curtin University of Technology Perth WA, 6845, Australia;Department of Chemical Engineering, Curtin University of Technology Perth WA, 6845, Australia
Venue:
Computers & Mathematics with Applications
Year:
2006

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Abstract

This paper is about the number of limit cycles for a quintic near-Hamiltonian system. It is proved that the system can have 20, 22, 24 limit cycles with different distributions of limit cycles for each case. The limit cycles are obtained by using the methods of bifurcation theory and qualitative analysis.