J. Llibre, A. Mahdi, C. Valls.
Darboux integrability of the Lü system.
J. Geom. Phys., 63, 118-128. 2013. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, A. Makhlouf.
Periodic orbits of the generalized Friedmann-Robertson-Walker Hamiltonian systems.
Astrophys. Space Sci., 344(1), 45-50. 2013. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, A. Makhlouf.
Periodic solutions of second order Hamiltonian systems.
Dyn. Syst., 28(2), 214-221. 2013. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, A. C. Mereu.
Limit cycles for a class of discontinuous generalized Liénard polynomial differential equations.
Electron. J. Differential Equations, 2013(195), 1-8. 2013.
AbstractPreprint at DDDUAB

J. Llibre, M. Ordóñez, E. Ponce.
On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry.
Nonlinear Anal. Real World Appl., 14(5), 2002-2012. 2013. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, C. Pantazi, S. Walcher.
Morphisms and inverse problems for Darboux integrating factors.
Proc. Roy. Soc. Edinburgh Sect. A, 143(6), 1291-1302. 2013. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, D. Pasca, C. Valls.
Qualitative study of the charged restricted three-body problem.
J. Differential Equations, 255, 326-338. 2013. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, R. O. Ramírez, N. Sadovskaia.
Integrability of the constrained rigid body.
Nonlinear Dynam., 73, 2273-2290. 2013. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, S. Rebollo-Perdomo.
Invariant parallels, invariant meridians and limit cycles of polynomial vector fields on some 2-dimensional algebraic tori in $ R^3$.
J. Dyn. Diff. Equat., 25(3), 777-793. 2013. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, L. A. Roberto.
On the periodic orbits of the third-order differential equation $x ' ' '-\mu x ' '+x'-\mu x=\varepsilon f(x,x',x ' ')$.
Appl. Math. Lett., 26, 425-430. 2013. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, L. A. Roberto.
On the periodic solutions of a class of Duffing differential equations.
Discrete Contin. Dyn. Syst., 33(1), 277-282. 2013. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, L. A. Roberto.
Periodic orbits and non-integrability of Armbruster-Guckenheimer-Kim potential.
Astrophys. Space Sci., 343(1), 69-74. 2013. [DOI]
PreprintPreprint at DDDUAB

J. Llibre, A. Rodrigues.
A note of the periodic orbits of a kind of Duffing equations.
Appl. Math. Comput., 219, 8358-8365. 2013. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, F. Rong.
On the number of limit cycles for discontinuous piecewise linear differential systems in $ R^{2n}$ with two zones.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 23(2), 1350024. 2013. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, F. Rong.
Corrigendum to "Minimal periods of holomorphic maps on complex tori" [J. Differ. Equ. Appl. 18 (2012) 2059 - 2068].
J. Difference Equ. Appl., 19(8), 1393. 2013. [DOI]
Full PDFPreprint at DDDUAB

J. Llibre, T. Salhi.
On the dynamics of a class of Kolmogorov systems.
Appl. Math. Comput., 225, 242-245. 2013. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, V. F. Sirvent.
Partially periodic point free self-maps on surfaces, graphs, wedge sums and products of spheres.
J. Difference Equ. Appl., 19(10), 1654-1662. 2013. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, V. F. Sirvent.
A survey on the minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms on some closed manifolds.
Pub. Mat. Urugay, 14, 155-169. 2013.
PreprintAbstractPreprint at DDDUAB

J. Llibre, M. A. Teixeira, J. Torregrosa.
Lower bounds for the maximum number of limit cycles of discontinuous piecewise linear differential systems with a straight line of separation.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 23(4), 1350066 (10 pages). 2013. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Integrability in nonlinear biomathematical models.
J. Geom. Phys., 66, 50-70. 2013. [DOI]
AbstractPreprint at DDDUAB