Bifurcation of limit cycles at degenerate singular point and infinity in a septic system
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Link
http://link.springer.com/content/pdf/10.1186/1687-1847-2013-5.pdf
Reference18 articles.
1. Li J: Hilbert’s 16th problem and bifurcations of planar polynomial vector fields. Int. J. Bifurc. Chaos 2003, 13: 47-106. 10.1142/S0218127403006352
2. Ye Y: Qualitative Theory of Polynomial Differential Systems. Shanghai Sci. Technol., Shanghai; 1995. (in Chinese)
3. Liu Y: Theory of center-focus for a class of higher-degree critical points and infinite points. Sci. China Ser. A 2001, 44: 37-48.
4. Blows TR, Rousseau C: Bifurcation at infinity in polynomial vector fields. J. Differ. Equ. 1993, 104: 215-242. 10.1006/jdeq.1993.1070
5. Liu Y, Chen H: Stability and bifurcations of limit cycles of the equator in a class of cubic polynomial systems. Comput. Math. Appl. 2002, 44: 997-1005. 10.1016/S0898-1221(02)00209-2
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