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Local behavior of planar analytic vector fields via integrability

Autor
Álvarez, M.; Ferragut, A.
Tipus d'activitat
Article en revista
Revista
Analysis and applications
Data de publicació
2012-01
Volum
385
Número
1
Pàgina inicial
264
Pàgina final
277
DOI
https://doi.org/10.1016/j.jmaa.2011.06.062 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/13547 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0022247X1100610X Obrir en finestra nova
Resum
We present an algorithm to study the local behavior of singular points of planar analytic vector fields having a first integral which is a quotient of analytic functions. The algorithm is based on the blow-up method. It emphasizes the curves passing through the singular points and avoids the computation of the desingularized systems. Vector fields having a rational first integral are a particular case.
Citació
Álvarez, M.; Ferragut, A. Local behavior of planar analytic vector fields via integrability. "Analysis and applications", Gener 2012, vol. 385, núm. 1, p. 264-277.
Paraules clau
Blow-up, Generalized rational first integral, INTEGRALS, INVARIANT ALGEBRAIC-CURVES, Planar analytic vector field, SINGULARITIES

Participants

  • Álvarez, M.J.  (autor)
  • Ferragut Amengual, Antoni Manel  (autor)