M. Falconi, J. Llibre.
N-1 independent first integrals for linear differential systems in $ R^n$ and $ C^n$.
Qual. Theory Dyn. Syst., 4(2), 233-254. 2004. [DOI]
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E. Freire, A. Gasull, A. Guillamon.
First derivative of the period function with applications.
J. Differential Equations, 204(1), 139-162. 2004. [DOI]
AbstractFull PDF

E. Freire, A. Gasull, A. Guillamon.
A characterization of isochronous centres in terms of symmetries.
Rev. Mat. Iberoam., 20(1), 205-222. 2004. [DOI]
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I. A. García, J. Giné.
Non-algebraic invariant curves for polynomial planar vector fields.
Discrete Contin. Dyn. Syst., 10(3), 755-768. 2004.
Abstract

A. Garijo, A. Gasull, X. Jarque.
Normal forms for singularities of one dimensional holomorphic vector fields.
Electron. J. Differential Equations, 2004(122), 1-7. 2004.
Abstract

A. Gasull, A. Guillamon, J. Villadelprat.
The period function for second-order quadratic ODEs is monotone.
Qual. Theory Dyn. Syst., 4(2), 329-352. 2004. [DOI]
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J. Giné.
Analytic integrability and characterization of centers for generalized nilpotent singular points.
Appl. Math. Comput., 148(3), 849-868. 2004.
Abstract

J. Giné.
Analytic integrability and characterization of centers for nilpotent singular points.
Z. Angew. Math. Phys., 55(5), 725-740. 2004.
Abstract

J. Giné.
On the existence of limit cycles for some class of polynomial planar systems.
Differ. Equ. Dyn. Syst., 12(03/04/09), 289-299. 2004.

J. Giné, J. Llibre.
Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities.
J. Differential Equations, 197(1), 147-161. 2004. [DOI]
Abstract

J. Giné, X. Santallusia.
Implementation of a new algorithm of computation of the Poincaré-Liapunov constants.
J. Comput. Appl. Math., 166(2), 465-476. 2004.
Abstract

A. Guillamon.
Una introducció a les matemàtiques de l'activitat neuronal.
Butl. Soc. Catalana Mat., 19, 25-45. 2004. ((In Catalan))
Abstract

F. Ikhouane, V. Mañosa, J. Rodellar.
Bounded and dissipative solutions of the Bouc-Wen model for hysteretic structural systems.
In Proceeding of the 2004 American Control Conference. Boston, Massachusetts June 30 - July 2, 2004, 3520-3525. Boston, Massachusetts, 2004.
Abstract

C. Li, J. Llibre.
A unified study on the cyclicity of period annulus of the reversible quadratic Hamiltonian systems.
J. Dyn. Diff. Equat., 16(2), 271-295. 2004. [DOI]
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W. Li, J. Llibre, X. Zhang.
Melnikov functions for period annulus, nondegenerate centers, heteroclinic and homoclinic cycles.
Pacific J. Math., 213(1), 49-78. 2004. [DOI]
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J. Llibre.
Integrability of polynomial differential systems.
In Handbook of Differential Equations (Ordinary Differential Equations Volume I), 437-532. Elsevier, Northholland, 2004.
Abstract

J. Llibre, M. Ollé.
Horseshoe periodic orbits in the restricted three body problem.
In New advances in celestial mechanics and Hamiltonian systems, 137-152. Kluwer/Plenum, New York, 2004.
Abstract

J. Llibre, C. Pantazi.
Polynomial differential systems having a given Darbouxian first integral.
Bull. Sci. Math., 128(9), 775-788. 2004. [DOI]
Abstract

J. Llibre, G. Rodríguez.
Configurations of limit cycles and planar polynomial vector fields.
J. Differential Equations, 198(2), 374-380. 2004. [DOI]
Abstract

J. Llibre, D. Schlomiuk.
The geometry of quadratic differential systems with a weak focus of third order.
Canad. J. Math., 56(2), 310-343. 2004. [DOI]
Abstract