8 citations · 15 across the 3 of their papers we have counts for
3 papers
math.DS2025★ 3 cited
Global phase portraits of a predator-prey system
Érika Diz-Pita, Jaume Llibre, M. V. Otero-Espinar
We classify the global dynamics of a family of Kolmogorov systems depending on three parameters which has ecological meaning as it modelizes a predator-prey system. We obtain all t…
math.DS2014★ 4 cited
Periodic Solutions of the extended Duffing-Van der Pol Oscillator
Rodrigo Euzebio, Jaume Llibre
In this paper some aspects on the periodic solutions of the extended Duffing-Van der Pol oscillator are discussed. Doing different rescaling of the variables and parameters of the…
math.DS2012★ 8 cited
A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers
Jaume Llibre, Daniel Peralta-Salas
We prove a sufficient condition for the existence of explicit first integrals for vector fields which admit an integrating factor. This theorem recovers and extends previous result…