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

Author
Pantazi, C.; Blázquez-Sanz, D.
Type of activity
Presentation of work at congresses
Name of edition
New Trends in Dynamical Systems 2012
Date of publication
2012
Presentation's date
2012-10
Book of congress proceedings
New trends in dynamical systems : 1-5 October, 2012 Salou (Tarragona), Spain : Abstracts Book
First page
15
Last page
15
URL
http://www.gsd.uab.cat/ntds2012/downloads/abstractsbook.pdf Open in new window
Abstract
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 ...
Keywords
autonomous polynomial systems non-autonomous polynomial systems first integral jacobi multiplier
Group of research
SD - UPC Dynamical Systems

Participants

  • Pantazi, Chara  (author and speaker )
  • Blázquez Sanz, David  (author and speaker )