J. C. Artés, J. Llibre, D. Schlomiuk, N. Vulpe.
Geometric configurations of singularities for quadratic differential systems with total finite multiplicity lower than 2.
Bul. Acad. Ştiinţe Repub. Mold. Mat., 71(1), 72-124. 2013.
AbstractPreprint at DDDUAB

J. C. Artés, J. Llibre, D. Schlomiuk, N. Vulpe.
Geometric configurations of singularities for quadratic differential systems with three distinct real simple finite singularities.
J. Fixed Point Theory Appl., 14(2), 555-618. 2013. [DOI]
AbstractPreprint at DDDUAB

J. C. Artés, A. C. Rezende, R. D. S. Oliveira.
Global phase portraits of quadratic polynomial differential systems with a semi-elemental triple node.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 23(8), 1350140 (21 pages). 2013. [DOI]
Additional filesAbstractPreprint at DDDUAB

E. Barrabés, J. M. Cors, G. R. Hall.
Numerical exploration of the limit ring problem.
Qual. Theory Dyn. Syst., 12(1), 25-52. 2013. [DOI]
AbstractPreprint at DDDUAB

E. Barrabés, J. M. Mondelo, M. Ollé.
Numerical continuation of families of heteroclinic connections between periodic orbits in a Hamiltonian system.
Nonlinearity, 26, 2747-2765. 2013. [DOI]
AbstractPreprint at DDDUAB

G. Bastien, V. Mañosa, M. Rogalski.
On periodic solutions of 2-periodic Lyness difference equations.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 23(4), 1350071 (18 pages). 2013. [DOI]
AbstractPreprint at DDDUAB

A. Bendjeddou, J. Llibre, T. Salhi.
Dynamics of the polynomial differential systems with homogeneous nonlinearities and a star node.
J. Differential Equations, 254, 3530-3537. 2013. [DOI]
AbstractPreprint at DDDUAB

R. Benterki, J. Llibre.
Limit cycles of polynomial differential equations with quintic homogenous nonlinearities.
J. Math. Anal. Appl., 407(1), 16-22. 2013. [DOI]
AbstractPreprint at DDDUAB

L. M. O. Biscolla, J. Llibre, W. M. Oliva.
The rolling ball problem on the plane revisited.
Z. Angew. Math. Phys., 64(4), 991-1003. 2013. [DOI]
AbstractPreprint at DDDUAB

G. Blé, V. Castellanos, J. Llibre, I. Quilantán.
Integrability and global dynamics of the May-Leonard model.
Nonlinear Anal. Real World Appl., 14, 280-293. 2013. [DOI]
AbstractPreprint at DDDUAB

Y. M. Bolaños Rivera.
Generalizations of the Darboux integrability theory for polynomial vector fields.
PhD thesis, Universitat Autònoma de Barcelona, Bellaterra, July, 2013. (In Spanish)
AbstractPreprint at DDDUAB

Y. M. Bolaños Rivera, J. Llibre, C. Valls.
On the number of invariant conics for the polynomial vector fields defined on quadrics.
Bull. Sci. Math., 137, 746-774. 2013. [DOI]
AbstractPreprint at DDDUAB

C. A. Buzzi, C. Pessoa, J. Torregrosa.
Piecewise linear perturbations of a linear center.
Discrete Contin. Dyn. Syst., 33(9), 3915-3936. 2013. [DOI]
PreprintAbstractPreprint at DDDUAB

V. Castellanos, J. Llibre, I. Quilantán.
Simultaneous periodic orbits bifurcating from two zero-Hopf equilibria in a tritrophic food chain model.
J. Appl. Math. Phys., 1, 31-38. 2013. [DOI]
AbstractPreprint at DDDUAB

M. Caubergh, J. Torregrosa.
Global phase portraits of some reversible cubic centers with noncollinear singularities.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 23(9), 1350161 (30 pages). 2013. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Cima, A. Gasull, V. Mañosa.
Integrability and non-integrability of periodic non-autonomous Lyness recurrences.
Dyn. Syst., 28(4), 518-538. 2013. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Cima, A. Gasull, V. Mañosa.
Global periodicity conditions for maps and recurrences via normal forms.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 23(11), 1350182 (18 pages). 2013. [DOI]
AbstractPreprint at DDDUAB

A. Cima, A. Gasull, F. Mañosas.
An explicit bound of the number of vanishing double moments forcing composition.
J. Differential Equations, 255, 339-350. 2013. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

A. Cima, A. Gasull, F. Mañosas.
A simple solution of some composition conjectures for Abel equations.
J. Math. Anal. Appl., 398(2), 477-486. 2013. [DOI]
AbstractPreprint at DDDUAB

I. Colak, J. Llibre, C. Valls.
Local analytic first integrals of planar analytic differential systems.
Phys. Lett. A, 377(15), 1065-1069. 2013. [DOI]
AbstractPreprint at DDDUAB