Affiliation:
1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China
Abstract
In this paper, we consider the planar system ẋ = -yF(x, y) + εP(x, y), ẏ = xF(x, y) + εQ(x, y), where the set {F(x, y) = 0} consists of m nonzero points (ai, bi)(i = 1, …, m) with multiple multiplicities, P(x, y) and Q(x, y) are arbitrary real polynomials. We study the number of limit cycles bifurcating from the periodic annulus surrounding the origin by using Abelian integrals and residue integration.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)
Cited by
6 articles.
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