Loading...
Loading...

Go to the content (press return)

A generalization of Darboux's method

Author
Pantazi, C.; Blázquez-Sanz, D.
Type of activity
Presentation of work at congresses
Name of edition
9th AIMS Conference on Dynamical Systems, Differential Equations and Aplications
Date of publication
2012
Presentation's date
2012-07-04
Book of congress proceedings
The 9th AIMS Conference on dynamical systems, differential equations and applications : 1-5 July 2012, Orlando, Florida (USA) : Abstracts
First page
172
Last page
172
URL
http://www.aimsciences.org/conferences/2012/Abstracts/ss39.pdf Open in new window
Abstract
There is a classical method started by Darboux in 1878 about the computation of a special class of first integrals(called Darboux first integrals) of polynomial differential systems. These Darboux first integrals are the products of powers of polynomi- als (often called Darboux polynomials). Note that the zero set of the Darboux polynomials define in- variant algebraic curves of the corresponding vector field. So, algebraic curves and its multiplicity are the key points in order to construct the...
Keywords
Darboux's method invariant algebraic curves, Lliouvilian functions, first integrals
Group of research
SD - UPC Dynamical Systems

Participants

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