J. Llibre, P. R. Silva, M. A. Teixeira.
Sliding vector fields for non-smooth dynamical systems having intersecting switching manifolds.
Nonlinearity, 28, 493-507. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, J. Itikawa.
Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers.
J. Comput. Appl. Math., 277, 171-191. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, Y. Long.
Periodic solutions for the generalized anisotropic Lennard-Jones Hamiltonian.
Qual. Theory Dyn. Syst., 14, 291-311. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, B. D. Lopes, J. R. Moraes.
Limit cycles bifurcating from the periodic annulus of cubic homogeneous polynomial centers.
Electron. J. Differential Equations, 2015(271), 1-8. 2015.
PreprintAbstractPreprint at DDDUAB

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. [DOI]
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