Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613005 | Journal of Differential Equations | 2008 | 12 Pages |
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.
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