Revistes Catalanes amb Accés Obert (RACO)

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

C. Li, Jaume Llibre, Z. Zhang
DOI: 37843

Resum


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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