Article ID Journal Published Year Pages File Type
4616740 Journal of Mathematical Analysis and Applications 2013 9 Pages PDF
Abstract

For εε sufficiently small, we consider the planar polynomial differential system ẋ=−y(y2+Ax2+Bx+C)+εP(x,y),ẏ=x(y2+Ax2+Bx+C)+εQ(x,y), where P(x,y)P(x,y) and Q(x,y)Q(x,y) are polynomials of degree nn. By using the averaging method of first order, we bound the number of limit cycles that can bifurcate from period annulus of the unperturbed system.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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