The number and distributions of limit cycles for a class of quintic near-Hamiltonian systems

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/192069

Title: The number and distributions of limit cycles for a class of quintic near-Hamiltonian systems
Author(s): Zang, Hong; Han, Maoan; Zhang, Tonghua; Tade, M. O.
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.
Publication type: Journal article
Source: Computers and Mathematics with Applications, Vol. 52, no. 10-11 (Nov-Dec 2006), pp. 1577-1594
Publication year: 2006
FOR Code(s): 0103 Numerical and Computational Mathematics; 0802 Computation Theory and Mathematics
Keyword(s): Bifurcation; Bifurcation (mathematics); Convergence of numerical methods; Hamiltonians; Hilbert's 16th problem; Limit cycle; Near-Hamiltonian system; Numerical methods; Problem solving; Stability; Theorem proving
Publisher: Pergamon
ISSN: 0898-1221
Publisher URL: http://dx.doi.org/10.1016/j.camwa.2006.01.017
Peer reviewed