Showing items related by title, author, creator and subject.

• Analytic integrability inside a family of degenerate centers 

  Algaba, Antonio; Checa, Isabel; García, Cristóbal; Giné, Jaume (Elsevier, 2016)

  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 ...

• Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor 

  Algaba, Antonio; García, Cristóbal; Giné, Jaume (Elsevier, 2019)

  In this work is characterized the analytic integrability problem around a nilpotent singularity for differential systems in the plane under generic conditions. The analytic integrability problem is characterized via the ...

• On the Formal Integrability Problem for Planar Differential Systems 

  Giné, Jaume; Algaba, Antonio; García, Cristóbal (Hindawi Publishing Corporation, 2013)

  We study the analytic integrability problem through the formal integrability problem and we show its connection, in some cases, with the existence of invariant analytic (sometimes algebraic) curves. From the results ...