J. Llibre, A. C. Mereu, M. A. Teixeira.
Limit cycles of the generalized polynomial Liénard differential equations.
Math. Proc. Cambridge Philos. Soc., 148, 363-383. 2010. [DOI]
Abstract

J. Llibre, A. C. Mereu, M. A. Teixeira.
Limit cycles of resonant four-dimensional polynomial system.
Dyn. Syst., 25(2), 145-158. 2010. [DOI]
Abstract

J. Llibre, A. C. Mereu, M. A. Teixeira.
Invariant tori fulfilled of periodic orbits for 4-dimensional $\mathcal C^2$ differential systems in presence of resonance.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 20(10), 3341-3344. 2010. [DOI]
Abstract

J. Llibre, M. Messias, P. R. Silva.
Global dynamics of the Lorenz systems with invariant algebraic surfaces.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 20(10), 3137-3155. 2010. [DOI]
Abstract

J. Llibre, E. Ponce, J. Ros, F. Torres.
On the fold-Hopf bifurcation for continuous piecewise differential systems with symmetry.
Chaos, 20(3), 033119 (13 pp). 2010. [DOI]
Abstract

J. Llibre, R. O. Ramírez, N. Sadovskaia.
On the 16th Hilbert problem for algebraic limit cycles.
J. Differential Equations, 248, 1401-1409. 2010. [DOI]
Abstract

J. Llibre, A. Rodrigues.
On the periodic orbits of Hamiltonian systems.
J. Math. Phys., 51, 042704. 2010. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, D. Schlomiuk.
Preface [Classical problems on planar polynomial vector fields].
Qual. Theory Dyn. Syst., 9(1-2), 1-3. 2010. [DOI]

J. Llibre, V. F. Sirvent.
Erratum: minimal sets of periods for Morse-Smale diffeomorphisms on orientable compact surfaces.
Houston J. Math., 36, 335-336. 2010.
Abstract

J. Llibre, M. A. Teixeira.
On the stable limit cycle of a weight-driven pendulum clock.
Eur. J. Phys., 31, 1249-1254. 2010. [DOI]
Abstract

J. Llibre, C. Valls.
Centers and isochronous centers for two classes of generalized seventh and ninth systems.
J. Dyn. Diff. Equat., 22, 657–675. 2010. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
On the integrability of a tritrophic food chain model.
Adv. Nonlinear Stud., 10, 331–355. 2010. [DOI]
AbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Classification of centers, their cyclicity and isochronicity for a class of polynomial differential systems of degree $d\geq 7$ odd.
Bull. Belg. Math. Soc. Simon Stevin, 17, 1-15. 2010. [DOI]
Abstract

J. Llibre, C. Valls.
On the limit cycles of polynomial differential systems with homogeneous nonlinearities of degree 3 via the averaging method.
Dyn. Contin. Discrete Impuls. Syst. Ser A: Math Anal., 17(4), 453-473. 2010.
Abstract

J. Llibre, C. Valls.
On the local analytic integrability at the singular point of a class of Liénard analytic differential systems.
Proc. Amer. Math. Soc., 138(1), 253-261. 2010. [DOI]
Abstract

J. Llibre, C. Valls.
Analytical integrability of the Rikitake system.
Z. Angew. Math. Phys., 61(4), . 2010. [DOI]
Abstract

J. Llibre, C. Valls.
Liouvillian first integrals for Liénard polynomial differential systems.
Proc. Amer. Math. Soc., 138(9), 3229-3239. 2010. [DOI]
Abstract

J. Llibre, C. Valls.
Nonintegrability of a class of Bianchi's VI$_0$ and VII$_0$ models.
J. Geom. Phys., 60(5), 815-822. 2010. [DOI]
Abstract

J. Llibre, C. Valls.
The Michelson system is neither global analytic, nor Darboux integrable.
Phys. D, 239, 414-419. 2010. [DOI]
Abstract

J. Llibre, C. Valls.
The Bianchi VIII model is neither global analytic nor Darboux integrable.
J. Math. Phys., 51(9), 092702, 13. 2010. [DOI]
AbstractPreprint at DDDUAB