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

• Center problem for generic degenerate vector fields 

  Algaba, Antonio; Díaz, María; García, Cristóbal; Giné, Jaume (Elsevier, 2022)

  We generalize the method of construction of an integrating factor for Abel differential equations, developed in Briskin et al. (1998), for any generic monodromic singularity. Here generic means that the vector field has ...

• 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 ...