Analytic integrability inside a family of degenerate centers

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2016Suggested 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.
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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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Nonlinear Analysis-Real World Applications, 2016, vol. 31, p. 288-307European research projects
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