124 citations · 654 across the 58 of their papers we have counts for
62 papers
Planar Kolmogorov systems with infinitely many singular points at infinity
Érika Diz-Pita, Jaume Llibre, M. Victoria Otero-Espinar
We classify the global dynamics of the five-parameter family of planar Kolmogorov systems \begin{equation*} \begin{split} \dot{y}&=y \left( b_0+ b_1 y z + b_2 y + b_3 z\right), \do…
Limit cycles of linear vector fields on
Clara Cufí-Cabré, Jaume Llibre
It is well known that linear vector fields defined in can not have limit cycles, but this is not the case for linear vector fields defined in other manifolds. We stu…
Crossing limit cycles of planar discontinuous piecewise differential systems formed by isochronous centers
Claudio A. Buzzi, Yagor Romano Carvalho, Jaume Llibre
These last years an increasing interest appeared for studying the planar discontinuous piecewise differential systems motivated by the rich applications in modelling real phenomena…
On the equilateral pentagonal central configurations
Martha Alvarez-Ramírez, Armengol Gasull, Jaume Llibre
An equilateral pentagon is a polygon in the plane with five sides of equal length. In this paper we classify the central configurations of the -body problem having the five bodi…
A note on the conjecture
J. Llibre, C. Valls
Let be a map from the set of positive integers into itself defined as follows: Let be a positive integer. If is odd, then , and if is even, then $g(x)=x/…
Global dynamics of the Horava-Lifshitz cosmology in the presence of non-zero cosmological constant in a flat space
Fabao Gao, Jaume Llibre
Using the qualitative theory of differential equations, the global dynamics of a cosmological model based on Horava-Lifshitz gravity is studied in the space with zero curvature in…