On a computer-aided approach to the computation of Abelian integrals
Dynamical Systems
2011-09-06 v3
Abstract
An accurate method to compute enclosures of Abelian integrals is developed. This allows for an accurate description of the phase portraits of planar polynomial systems that are perturbations of Hamiltonian systems. As an example, it is applied to the study of bifurcations of limit cycles arising from a cubic perturbation of an elliptic Hamiltonian of degree four.
Cite
@article{arxiv.0809.2867,
title = {On a computer-aided approach to the computation of Abelian integrals},
author = {Tomas Johnson and Warwick Tucker},
journal= {arXiv preprint arXiv:0809.2867},
year = {2011}
}