most citedQuadratic centers defining elliptic surfaces

1 citations · 1 across the 1 of their papers we have counts for

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2 papers

math.DS2007

Perturbations of quadratic centers of genus one

Sebastien Gautier, Lubomir Gavrilov, Iliya D. Iliev

We propose a program for finding the cyclicity of period annuli of quadratic systems with centers of genus one. As a first step, we classify all such systems and determine the esse…

math.DS2007★ 1 cited

Quadratic centers defining elliptic surfaces

Sebastien Gautier

Let be a quadratic vector field with a center whose generic orbits are algebraic curves of genus one. To each we associate an elliptic surface (a smooth complex compact sur…