Article ID Journal Published Year Pages File Type
4613005 Journal of Differential Equations 2008 12 Pages PDF
Abstract

We estimate for the maximal number of limit cycles bifurcating from a focus for the Liénard equation , where f and g are polynomials of degree m and n respectively. These estimates are quadratic in m and n and improve the existing bounds. In the proof we use methods of complex algebraic geometry to bound the number of double points of a rational affine curve.

Related Topics
Physical Sciences and Engineering Mathematics Analysis