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
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
J. Llibre, A. Rodrigues.
On the dynamics of a system that bridges the gap between Lorenz and Chen systems.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 25(9), 1550122 (9 pages). 2015.
[DOI]PreprintAbstractPreprint at DDDUAB
J. Llibre, V. G. Romanovskii.
Isochronicity and linearizability of planar polynomial Hamiltonian systems.
J. Differential Equations, 259, 1649-1662. 2015.
[DOI]PreprintAbstractPreprint at DDDUAB
J. Llibre, D. Schlomiuk.
On the limit cycles bifurcating from an ellipse of a quadratic center.
Discrete Contin. Dyn. Syst., 35(3), 1091-1102. 2015.
[DOI]PreprintAbstractPreprint at DDDUAB
