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On the Darbouxian theory of integrability of non-autonomous polynomial differencial systems

Autor
Pantazi, C.; Blázquez-Sanz, D.
Tipus d'activitat
Presentació treball a congrés
Nom de l'edició
New Trends in Dynamical Systems 2012
Any de l'edició
2012
Data de presentació
2012-10
Llibre d'actes
New trends in dynamical systems : 1-5 October, 2012 Salou (Tarragona), Spain : Abstracts Book
Pàgina inicial
15
Pàgina final
15
URL
http://www.gsd.uab.cat/ntds2012/downloads/abstractsbook.pdf Obrir en finestra nova
Resum
In this work we unfold some derential algebraic aspects of Darboux rst integrals of polynomial vector fields. An interesting improvement is that our approach can be applied both to autonomous and non- autonomous vector fields. We give a sufient and necessary condition for the existence of a Darboux first integral of a specic form for a polynomial vector eld with some known algebraic invariant hypersurfaces. For the autonomous case, the classical result of Darboux is obtained as a corollary. For ...
Paraules clau
autonomous polynomial systems non-autonomous polynomial systems first integral jacobi multiplier
Grup de recerca
SD - Sistemes Dinàmics de la UPC

Participants

  • Pantazi, Chara  (autor ponent)
  • Blázquez Sanz, David  (autor ponent)