Analytic integrability inside a family of degenerate centers
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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.
Is part ofNonlinear Analysis-Real World Applications, 2016, vol. 31, p. 288-307
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