Analytic integrability inside a family of degenerate centers

Algaba, Antonio; Checa, Isabel; García, Cristóbal; Giné, Jaume

doi:https://doi.org/10.1016/j.nonrwa.2016.02.003

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Issue date

2016

Author

Algaba, Antonio

Checa, Isabel

García, Cristóbal

Giné, Jaume

Suggested citation

Algaba, Antonio; Checa, Isabel; García, Cristóbal; Giné, Jaume; . (2016) . Analytic integrability inside a family of degenerate centers. Nonlinear Analysis-Real World Applications, 2016, vol. 31, p. 288-307. https://doi.org/10.1016/j.nonrwa.2016.02.003.

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.

URI

http://hdl.handle.net/10459.1/58412

DOI

https://doi.org/10.1016/j.nonrwa.2016.02.003

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Nonlinear Analysis-Real World Applications, 2016, vol. 31, p. 288-307

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Except where otherwise noted, this item's license is described as cc-by-nc-nd (c) Elsevier, 2016