Perturbation from an asymmetric cubic Hamiltonian

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/192042

Title: Perturbation from an asymmetric cubic Hamiltonian
Author(s): Zhang, Tonghua; Han, Maoan; Zang, Hong
Abstract: This paper concerns with the number of limit cycles from an asymmetric Hamiltonian of degree three under cubic perturbation. Eleven limit cycles are found and three different distributions are given by using the methods of bifurcation theory and qualitative analysis, two of which are new.
Publication type: Journal article
Source: Journal of Mathematical Analysis and Applications, Vol. 305, no. 2 (May 2005), pp. 617-630
Publication year: 2005
FOR Code(s): 0101 Pure Mathematics; 0102 Applied Mathematics
Keyword(s): Bifurcation; Hamiltonian system; Hilbert's 16th problem; Limit cycle; Stability
Publisher: Academic Press
ISSN: 0022-247X
Publisher URL: http://dx.doi.org/10.1016/j.jmaa.2004.12.044
Peer reviewed