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Abstract: An accurate method to compute enclosures of Abelian integrals is developed.This allows for an accurate description of the phase portraits of planarpolynomial systems that are perturbations of Hamiltonian systems. As anexample, it is applied to the study of bifurcations of limit cycles arisingfrom a cubic perturbation of an elliptic Hamiltonian of degree four.



Author: Tomas Johnson, Warwick Tucker

Source: https://arxiv.org/







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