Liouvillian first integrals for the planar Lotka-Volterra system

By Laurent Cairó, Héctor Giacomini, Jaume Llibre. 2003

47 citations recorded by the source corpus.

Subfields: Geometry and Topology, Public Health, Environmental and Occupational Health, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5d0b26602ff17a17b8158707c412b386f307903b

How researchers see this paper

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

In Geometry and Topology

1. Colin Christopher
2. Maite Grau
3. Isaac A. García

In Statistical and Nonlinear Physics

1. Colin Christopher
2. Maite Grau
3. Isaac A. García
4. C. Rousseau

Citations in the corpus

• A Survey on the Inverse Integrating Factor (2009, background): “The Liouvillian integrability of Lotka-Volterra systems has been studied in [86, 8].”
• Normalizable, integrable and linearizable saddle points in the lotka-volterra system (2004, background): “In fact, we know from the lists given in [1, 16] that there are essentially only two cases (with λ = 8/7 and 13/7 and their duals) where this last condition holds, which are not contained in the previous two conditions.”