124 citations · 654 across the 58 of their papers we have counts for
8 papers · 1 filter
Dynamics of a generalized Rayleigh system
Maíra Duran Baldissera, Jaume Llibre, Regilene Oliveira
Consider the first order differential system given by \begin{equation*} \begin{array}{l} \dot{x}= y, \qquad \dot{y}= -x+a(1-y^{2n})y, \end{array} \end{equation*} where is a rea…
Limit cycles for two classes of control piecewise linear differential systems
J. Llibre, R. D. S. Oliveira, C. A. B. Rodrigues
We study the bifurcation of limit cycles from the periodic orbits of --dimensional linear centers when they are perturbed inside classes of continuous and dis…
Bifurcations from families of periodic solutions in piecewise differential systems
Jaume Llibre, Douglas D. Novaes, Camila A. B. Rodrigues
Consider a differential system of the form where $F_i:\mathbb{S}^1 \times D \to \mathbb{…
Generalized rational first integrals of analytic differential systems
Wang Cong, Jaume Llibre, Xiang Zhang
In this paper we mainly study the necessary conditions for the existence of functionally independent generalized rational first integrals of ordinary differential systems via the r…
Periodic orbits for a class of galactic potentials
Felipe Alfaro, Jaume Llibre, Ernesto Pérez-Chavela
In this work, applying general results from averaging theory, we find periodic orbits for a class of Hamiltonian systems whose potential models the motion of elliptic galaxies.
Bifurcations from nondegenerate families of periodic solutions
A. Buica, J. Llibre, O. Makarenkov
By a nondegenerate -parameterized family of periodic solutions we understand the situation when the geometric multiplicity of the multiplier +1 of the linearized on syst…