J. Llibre, T. Salhi.
On the limit cycles surrounding a diagonalizable linear node with homogeneous nonlinearities.
Appl. Math. Lett., 98, 427-431. 2019. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, V. F. Sirvent.
On topological entropy, Lefschetz numbers and Lefschetz zeta functions.
Topology Appl., 268(106906), 1-14. 2019. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, Y. Tang.
Limit cycles of discontinuous piecewise quadratic and cubic polynomial perturbations of a linear center.
Discrete Contin. Dyn. Syst. Ser. B, 24(4), 1769-1784. 2019. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Integrability of reversible and equivariant quadratic polynomial differential systems in the plane.
Rocky Mountain J. Math., 49(2), 579-591. 2019. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Periodic orbits of the planar anisotropic generalized Kepler problem.
J. Math. Phys., 60, 042901. 2019. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Global dynamics of the integrable Armbruster-Guckenheimer-Kim galactic potential.
Astrophys. Space Sci., 364(130), 1-6. 2019. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Vidal.
Periodic motion in non-axially symmetric galaxies.
J. Geom. Phys., 140, 1-9. 2019. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, P. Yuan.
Bicentric quadrilateral central configurations.
Appl. Math. Comput., 362, 124507: 1-7. 2019. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, P. Yuan.
Periodic orbits of the planar anisotropic Manev problem and of the perturbed hydrogen atom problem.
Qual. Theory Dyn. Syst., 18, 969-986. 2019. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, X. Zhang.
The non-existence, existence and uniqueness of limit cycles for quadratic polynomial differential systems.
Proc. Roy. Soc. Edinburgh Sect. A, 149(1-14), . 2019. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, X. Zhang.
Limit cycles for discontinuous planar piecewise linear differential systems separated by an algebraic curve.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 29(2), 1950017 (17 pages). 2019. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, X. Zhang.
Limit cycles created by piecewise linear centers.
Chaos, 29(5), 053116:1-14. 2019. [DOI]
PreprintAbstractPreprint at DDDUAB

J. M. Mondelo.
Computing invariant manifolds for libration point missions.
In Satellite dynamics and space missions, 159-223. Springer, Cham, 2019.
PreprintAbstractPreprint at DDDUAB

R. Ortega, D. Rojas.
Periodic oscillators, isochronous centers and resonance.
Nonlinearity, 32, 800-832. 2019. [DOI]
PreprintAbstractPreprint at DDDUAB

R. Ortega, D. Rojas.
A proof of Bertrand’s theorem using the theory of isochronous potentials.
J. Dyn. Diff. Equat., 31, 2017-2028. 2019. [DOI]
PreprintPreprint at DDDUAB

R. Prohens, J. Torregrosa.
New lower bounds for the Hilbert numbers using reversible centers.
Nonlinearity, 32, 331-355. 2019. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

V. Ramírez.
Qualitative theory of differential equations in the plane and in the space, with emphasis on the center-focus problem and on the lotka-Volterra systems.
PhD thesis, Universitat Autònoma de Barcelona, Bellaterra, November, 2019.
Abstract

D. Rojas.
On the upper bound of the criticality of potential systems at the outer boundary using the Roussarie-Ecalle compensator.
J. Differential Equations, 267, 3922-3951. 2019. [DOI]
PreprintAbstractPreprint at DDDUAB

D. Rojas.
Resonance of isochronous oscillators.
In Research Perspectives CRM Barcelona, Summer 2018, 87-91. Springer, 2019. [DOI]
PreprintAbstractPreprint at DDDUAB

I. Sánchez Sánchez, J. Torregrosa.
New advances on the Lyapunov constants of some families of planar differential systems.
In Research Perspectives CRM Barcelona, Summer 2018, 161-167. Springer, 2019. [DOI]
PreprintAbstractPreprint at DDDUAB