Revistes Catalanes amb Accés Obert (RACO)

Abelian integrals of quadratic hamiltonian vector fields with an invariant straight line

C. Li, Jaume Llibre, Z. Zhang


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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