J. Llibre, M. Messias, A. C. Reinol.
Darboux invariants for planar polynomial differential systems having an invariant conic.
Z. Angew. Math. Phys., 65, 1127-1136. 2014. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, D. D. Novaes.
Improving the averaging theory for computing periodic solutions of the differential equations.
Z. Angew. Math. Phys., 66(4), 1401-1412. 2014. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, D. D. Novaes, M. A. Teixeira.
Higher order averaging theory for finding periodic solutions via Brouwer degree.
Nonlinearity, 27, 563-583. 2014. [DOI] (Paper selected in the list of "Top-cited papers" of 2014-2015.)
PreprintAbstractPreprint at DDDUAB

J. Llibre, D. D. Novaes, M. A. Teixeira.
Corrigendum: Higher order averaging theory for finding periodic solutions via Brouwer degree (2014 Nonlinearity 27 563).
Nonlinearity, 27, 2417. 2014. [DOI]
Full PDFPreprint at DDDUAB

J. Llibre, D. Pasca, C. Valls.
Periodic solutions of a galactic potential.
Chaos Solitons Fractals, 61, 38-43. 2014. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, E. Pérez-Chavela.
Zero-Hopf bifurcation for a class of Lorenz-type systems.
Discrete Contin. Dyn. Syst. Ser. B, 19(6), 1731-1736. 2014. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. O. Ramírez, N. Sadovskaia.
Inverse approach in ordinary differential equations: Applications to Lagrangian and Hamiltonian mechanics.
J. Dyn. Diff. Equat., 26, 529-581. 2014. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. O. Ramírez, N. Sadovskaia.
A new approach to the vakonomic mechanics.
Nonlinear Dynam., 78, 2219-2247. 2014. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, A. Rodrigues.
On the limit cycles of the Floquet differential equations.
Discrete Contin. Dyn. Syst. Ser. B, 19(4), 1129-1136. 2014. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. Saghin, X. Zhang.
On the analytic integrability of the 5-dimensional Lorenz system for the gravitiy-wave activity.
Proc. Amer. Math. Soc., 142(2), 531-537. 2014. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, M. A. Teixeira.
Periodic solutions of discontinuous second order differential systems.
In Proceedings of 12th International Workshop on Real and Complex Singularities, 183-190. 2014. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, A. E. Teruel.
Introduction to the qualitative theory of differential systems: planar, symmetric and continuous piecewise linear systems.
Springer-Verlag, 2014. (XIII, 289 p. 84 illus., 1 illus. in color)
Link at publisherAbstract

J. Llibre, C. Valls.
Algebraic invariant curves and first integrals for Riccati polynomial differential systems.
Proc. Amer. Math. Soc., 142(10), 3533-3543. 2014. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Weierstrass integrability for a class of differential systems.
J. Nonlinear Math. Phys., 21(2), 294-307. 2014. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Liouvillian and analytic integrability of the quadratic vector fields having an invariant ellipse.
Acta Math. Sinica (N.S.), 30(3), 453-466. 2014. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Darboux integrability of 2-dimensional Halmiltonian systems with homogeneous potentials of degree 3.
J. Math. Phys., 55, 033507. 2014. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Nonintegrability of a Halphen system.
Theoret. and Math. Phys., 181(2), 1383-1395. 2014. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
On the analytic integrability of the cored galactic Hamiltonian.
Appl. Math. Lett., 33, 35-39. 2014. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Vidal.
Global dynamics of the Kummer-Schwarz differential equation.
Mediterranean J. Math., 11, 477-486. 2014. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Vidal.
New 1:1:1 periodic solutions in 3-dimensional galactic-type Hamiltonian systems.
Nonlinear Dynam., 78, 969-980. 2014. [DOI]
PreprintAbstractPreprint at DDDUAB