Bifurcations and distribution of limit cycles for near-Hamiltonian polynomial systems

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/192023

Title: Bifurcations and distribution of limit cycles for near-Hamiltonian polynomial systems
Author(s): Zang, Hong; Wang, Zheng; Zhang, Tonghua
Abstract: This paper concerns with limit cycles through Hopf and homoclinic bifurcations for near-Hamiltonian systems. By using the coefficients appeared in Melnikov functions at the centers and homoclinic loops, some sufficient conditions are obtained to find limit cycles.
Publication type: Journal article
Source: Journal of Mathematical Analysis and Applications, Vol. 348, no. 1 (Dec 2008), pp. 87-100
Publication year: 2008
FOR Code(s): 0101 Pure Mathematics; 0102 Applied Mathematics
Keyword(s): Double homoclinic bifurcation; Hopf bifurcation; Limit cycles; Melnikov function
Publisher: Academic Press
ISSN: 0022-247X
Publisher URL: http://dx.doi.org/10.1016/j.jmaa.2008.06.043
Peer reviewed