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

• 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 ...

• Orbital Reversibility of Planar Vector Fields 

  Algaba, Antonio; García, Cristóbal; Giné, Jaume (MDPI, 2021)

  In this work we use the normal form theory to establish an algorithm to determine if a planar vector field is orbitally reversible. In previous works only algorithms to determine the reversibility and conjugate reversibility ...

• 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 ...