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Abelian integrals of quadratic Hamiltonian vector fields with an invariant straight line.

Chengzhi Li; Jaume Llibre; Zhi-fen Zhang — 1995

Publicacions Matemàtiques

We prove that the lowest upper bound for the number of isolated zeros of the Abelian integrals associated to quadratic Hamiltonian vector fields having a center and an invariant straight line after quadratic perturbations is one.

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