Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222303 | Nonlinear Analysis: Real World Applications | 2016 | 20 Pages |
Abstract
In this paper we study the analytic integrability around the origin inside a family of degenerate centers or perturbations of them. For this family analytic integrability does not imply formal orbital equivalence to a Hamiltonian system. It is shown how difficult is the integrability problem even inside this simple family of degenerate centers or perturbations of them.
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Authors
Antonio Algaba, Isabel Checa, Cristóbal GarcÃa, Jaume Giné,