3 papers
math.DS2020
Darboux integrability and dynamics of the Basener-Ross population model
Faruk Güngör, Jaume Llibre, Chara Pantazi
We deal with the Basener and Ross model for the evolution of human population in Easter island. We study the Darboux integrability of this model and characterize all its global dyn…
math.DS2019
Invariant algebraic surfaces of polynomial vector fields in dimension three
Niclas Kruff, Jaume Llibre, Chara Pantazi +1
We discuss criteria for the nonexistence, existence and computation of invariant algebraic surfaces for three-dimensional complex polynomial vector fields, thus transferring a clas…
math.DS2017
Differential Galois Theory and non-Integrability of Planar Polynomial Vector Fields
Primitivo B. Acosta-Humánez, J. Tomás Lázaro, Juan J. Morales-Ruiz +1
We study a necessary condition for the integrability of the polynomials fields in the plane by means of the differential Galois theory. More concretely, by means of the variational…