Darboux integrability and the inverse integrating factor

By J. Chavarriga, Héctor Giacomini, Jaume Giné Mesa, Jaume Llibre. 2003

127 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/9545bf3f6af04e7f8ec5c94d9f80483b14eec7ce

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Xiang Zhang
2. Jaume Llibre
3. Maite Grau
4. Isaac A. García

In Geometry and Topology

1. Maite Grau
2. Isaac A. García
3. Xiang Zhang
4. Jaume Llibre
5. Héctor Giacomini
6. Laurent Cairó
7. Jaume Giné Mesa
8. Douglas Duarte Novaes

Citations in the corpus

• A Survey on the Inverse Integrating Factor (2009, background): “In the work [22] it is proved that there are finitely many remarkable values for a given rational first integral H .”
• Liouvillian first integrals for the planar Lotka-Volterra system (2003, methodology): “Prelle and Singer [40] (see also [ 10 ]), using methods of differential algebra, showed that if a polynomial vector field has an elementary first integral, then it can be computed using the Darbouxian theory of integrability.”
• On the Darboux Integrability of Polynomial Differential Systems (2012, methodology): “Finally the proof of statement (e) follows from [4] and [17], this last paper is due to Ferragut, Llibre and Mahdi.”