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

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/192035

Title: The number and distributions of limit cycles for a class of cubic near-Hamiltonian systems
Author(s): Zang, Hong; Zhang, Tonghua; Han, Maoan
Abstract: This paper concerns with the number of limit cycles for a cubic Hamiltonian system under cubic perturbation. The fact that there exist 9-11 limit cycles is proved. The different distributions of limit cycles are given by using methods of bifurcation theory and qualitative analysis, among which two distributions of eleven limit cycles are new.
Publication type: Journal article
Source: Journal of Mathematical Analysis and Applications, Vol. 316, no. 2 (Apr 2006), pp. 679-696
Publication year: 2006
FOR Code(s): 0101 Pure Mathematics; 0102 Applied Mathematics
Keyword(s): Distribution of limit cycle; Hamiltonian system; Hilbert's 16th problem; Homoclinic bifurcation
Publisher: Academic Press
ISSN: 0022-247X
Publisher URL: http://dx.doi.org/10.1016/j.jmaa.2005.04.085
Peer reviewed