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  7. Limit Cycles of Perturbations of a Class of Quadratic Hamiltonian Vector Fields

Limit Cycles of Perturbations of a Class of Quadratic Hamiltonian Vector Fields

Authors: Markov, Yavor
Issue Date: 1996
Citation: Serdica Mathematical Journal, Vol. 22, No 2, (1996), 91p-108p Copy to clipboard
ISSN: 1310-6600
URI: http://hdl.handle.net/10525/603 Copy to clipboard
Abstract: We prove that in quadratic perturbations of generic Hamiltonian vector fields with two saddle points and one center there can appear at most two limit cycles. This bound is exact.
Language: en
Publisher: Institute of Mathematics and Informatics, Bulgarian Academy of SciencesSubject: Limit CyclesAbelian IntegralsPicard-Lefschetz Formula
Type: Article