Analytic integrability inside a family of degenerate centers

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Analytic integrability.pdf (171.8 KB)

Publication date

2016

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Ciencias Integradas

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Center

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URI

http://hdl.handle.net/10272/20905

DOI

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.

Keywords

Nonlinear differential systems; Integrability problem; Degenerate center problem

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12 Matemáticas

Bibliographic citation

Algaba, A., Checa, I., García, C., & Giné, J. (2016). Analytic integrability inside a family of degenerate centers. In Nonlinear Analysis: Real World Applications (Vol. 31, pp. 288–307). Elsevier BV. https://doi.org/10.1016/j.nonrwa.2016.02.003

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