Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616740 | Journal of Mathematical Analysis and Applications | 2013 | 9 Pages |
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
Authors
Shimin Li, Yulin Zhao, Jun Li,