J. Llibre.
Periodic point free continuous self-maps on graphs and surfaces.
Topology Appl., 159, 2228-2231. 2012. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, Y. M. Bolaños Rivera.
Rational first integrals for polynomial vector fields on algebraic hypersurfaces of $ R^{N+1}$.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 22(11), 1250270 (11 pages). 2012. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, P. R. Silva, M. A. Teixeira.
Synchronization and non-smooth dynamical systems.
J. Dyn. Diff. Equat., 24, 1-12. 2012. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, A. Makhlouf.
On the limit cycles for a class of fourth-order differential equations.
J. Phys. A, 45, 055214. 2012. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, A. Makhlouf.
Limit cycles for a class of fourth-order autonomous differential equations.
Electron. J. Differential Equations, 2012(22), 1-17. 2012.
AbstractPreprint at DDDUAB

J. Llibre, A. Makhlouf.
Periodic orbits of the fourh-order non-autonomous differential equation $u' ' ' ' + q u ' ' + p u=\varepsilon f(t,u,u' , u' ' , u' ' ')$.
Appl. Math. Comput., 219, 827-836. 2012. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, A. Makhlouf.
Periodic orbits of a non-autonomous quadratic differential system obtained from third-order differential equations.
Dyn. Syst., 27(2), 161-168. 2012. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, A. Makhlouf.
Periodic orbits of the spatial anisotropic Manev problem.
J. Math. Phys., 53, 122903. 2012. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, J. Martínez Alfaro.
An upper bound of the index of an equilibrium point in the plane.
J. Differential Equations, 253, 2460-2473. 2012. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, L. F. Mello.
On the periodic orbits of perturbed Hooke Hamiltonian systems with three degrees of freedom.
J. Geom. Phys., 62, 1054-1063. 2012. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, M. Messias, P. R. Silva.
Global dynamics in the Poincare ball of the Chen system having invariant algebraic surfaces.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 22(6), 1250154. 2012. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, C. Pantazi, S. Walcher.
First integrals of local analytic differential systems.
Bull. Sci. Math., 136, 342-359. 2012. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, D. Peralta-Salas.
A note on the first integrals of vector fields with integrating factors and normalizers.
SIGMA Symmetry Integrability Geom. Methods Appl., 8(35), 9 pages. 2012. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, E. Ponce.
Three nested limit cycles in discontinuous piecewise linear differential systems with two zones.
Dynam. Contin. Discrete Impuls. Systems. Ser. B, 19, 325-335. 2012.
AbstractPreprint at DDDUAB

J. Llibre, R. Rabanal.
Planar real polynomial differential systems of degree $n>3$ having a weak focus of high order.
Rocky Mountain J. Math., 42(2), 657-693. 2012. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, F. Rong.
Minimal periods of holomorphic maps on complex tori.
J. Difference Equ. Appl., 18(12), 2059-2068. 2012. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, R. Saghin.
Topological entropy and periods of graph maps.
J. Difference Equ. Appl., 18(4), 589-598. 2012. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, V. F. Sirvent.
Minimal sets of periods for Morse-Smale diffeomorphisms on non-orientable compact surfaces without boundary.
J. Difference Equ. Appl., 19(3), 402-417. 2012. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, C. Stoica, C. Valls.
Polynomial and rational integrability of polynomial Hamiltonian systems.
Electron. J. Differential Equations, 2012(108), 1-6. 2012.
AbstractPreprint at DDDUAB

J. Llibre, M. A. Teixeira.
On the periodic orbits of the fourth-order differential equation $u' ' ' '+qu' '−u=\varepsilon f (u,u',u' ',u' ' ')$.
J. Math. Anal. Appl., 387, 181-188. 2012. [DOI]
AbstractPreprint at DDDUAB