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

J. Llibre, C. Valls.
Generalized Weierstrass integrability of the Abel differential equations.
Mediterranean J. Math., 10(4), 1749-1760. 2013. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Limit cycles for a generalization of polynomial Liénard differential systems.
Chaos Solitons Fractals, 46, 65-74. 2013. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, C. Valls.
On the number of limit cycles for a generalization of Liénard polynomial differential systems.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 23(3), 1350048 (16 pages). 2013. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, C. Valls.
On the polynomial integrability of the hoyer systems.
J. Math. Anal. Appl., 399, 411-417. 2013. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Darboux integrability of a generalized Friedmann-Robertson-Walker Hamiltonian system.
J. Nonlinear Math. Phys., 20(3), 394-406. 2013. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, C. Valls.
On the Darboux integrability of Blasius and Falkner-Skan equation.
Computers and Fluids, 86, 71-76. 2013. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Generalized Weierstrass integrability for the complex differential equations $dy/dx=a(x)y^4+b(x)y^3+c(x)y^2+d(x)y+e(x)$.
Appl. Math. Lett., 26(8), 836-841. 2013. [DOI]
AbstractPreprint at DDDUAB