J. Llibre, B. D. Lopes, J. R. Moraes.
Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2.
Appl. Math. Comput., 250, 887-907. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, A. Makhlouf.
Limit cycles of a class of generalized Liénard polynomial equations.
J. Dyn. Control Syst., 21, 189-192. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, A. Makhlouf.
The Hilbert number of a class of differential equations.
J. Appl. Anal. Comp., 5(1), 141-145. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, A. Makhlouf.
Bifurcation of limit cycles from some uniform isochronous centers.
Dyn. Contin. Discrete Impuls. Syst. Ser A: Math Anal., 22, 381-394. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, A. C. Mereu, D. D. Novaes.
Averaging theory for discontinuous piecewise differential systems.
J. Differential Equations, 258, 4007-4032. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, M. Messias, A. C. Reinol.
Normal forms for polynomial differential systems in $ R^3$ having an invariant quadric and a Darboux invariant.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 25(1), 1550015. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. Moeckel, C. Simó.
Central configurations, periodic orbits, and Hamiltonian systems.
Birkhäuser, Basel, 2015.
Link at publisherAbstract

J. Llibre, N. Neumärker.
Period sets of linear toral endomorphisms on $ T^2$.
Topology Appl., 185-186, 41-49. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, D. D. Novaes, M. A. Teixeira.
On the birth of limit cycles for non-smooth dynamical systems.
Bull. Sci. Math., 139, 229-244. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, D. D. Novaes, M. A. Teixeira.
Limit cycles bifurcating from the periodic orbits of a discontinuous piecewise linear differential center with two zones.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 25(11), 1550144 (11 pages). 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, D. D. Novaes, M. A. Teixeira.
On the periodic solutions of perturbed 4D non-resonant systems.
Sao Paulo J. Math. Sci., 9, 229-250. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, D. D. Novaes, M. A. Teixeira.
Maximum number of limit cycles for certain piecewise linear dynamical systems.
Nonlinear Dynam., 82(3), 1159-1175. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, D. D. Novaes, M. A. Teixeira.
Periodic solutions of Liénard differential equations via averaging theory of order two.
An. Acad. Brasil. Ci., 87(4), 1905-1913. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. D. S. Oliveira.
Quadratic systems with invariant straight lines of total multiplicity two having Darboux invariants.
Commun. Contemp. Math., 17(3), 1450018. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. D. S. Oliveira, C. Valls.
On the integrability and the zero-Hopf bifurcation of a Chen-Wang differential system.
Nonlinear Dynam., 80, 353-361. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Pessoa.
The Hopf bifurcation in the Shimizu-Morioka system.
Nonlinear Dynam., 79, 2197-2205. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, E. Ponce, C. Valls.
Uniqueness and non-uniqueness of limit cycles for piecewise linear differential systems with three zones and no symmetry.
J. Nonlinear Sci., 25(4), 861-887. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. Rabanal.
Center conditions for a class of planar rigid polynomial differential systems.
Discrete Contin. Dyn. Syst., 35(3), 1075-1090. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, A. Rodrigues.
A non-autonomous kind of Duffing equation.
Appl. Math. Comput., 251, 669-674. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, A. Rodrigues.
Periodic orbits for real planar polynomial vectors fields of degree n having n invariant straight lines taking into account their multiplicities.
Electron. J. Qual. Theory Differ. Equ., 55, 1-15. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB