Analytic integrability inside a family of degenerate centers

作者:Algaba Antonio; Checa Isabel; Garcia Cristobal; Gine Jaume*
来源:Nonlinear Analysis: Real World Applications , 2016, 31: 288-307.
DOI:10.1016/j.nonrwa.2016.02.003

摘要

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.

  • 出版日期2016-10