The number of limit cycles for a family of polynomial systems

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/191994

Title: The number of limit cycles for a family of polynomial systems
Author(s): Xiang, Guanghui; Han, Maoan; Zhang, Tonghua
Abstract: In this paper, the number of limit cycles in a family of polynomial systems was studied by the bifurcation methods. With the help of a computer algebra system (e.g., Maple 7.0), we obtain that the least upper bound for the number of limit cycles appearing in a global bifurcation of systems (2.1) and (2.2) is 5n + 5 + (1 − (−1)n)/2 for c ≠ 0 and n for c ≡ 0.
Publication type: Journal article
Source: Computers and Mathematics with Applications, Vol. 49, no. 11-12 (Jun 2005), pp. 1669-1678
Publication year: 2005
FOR Code(s): 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics
Keyword(s): Abelian integrals; Algebra; Bifurcation (mathematics); Global bifurcation; Hilbert's 16th problem; Integral equations; Limit cycles; Polynomial approximation; Problem solving
Publisher: Pergamon
ISSN: 0898-1221
Publisher URL: http://dx.doi.org/10.1016/j.camwa.2005.02.007
Peer reviewed