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

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

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

J. Villadelprat, X. Zhang.
The period function of Hamiltonian systems with separable variables.
J. Dyn. Diff. Equat., 1-27. 2019. [DOI]
PreprintAbstractPreprint at DDDUAB

S. Zafar, A. Cima.
Dynamical classification of a family of birational maps of $ C^2$ via algebraic entropy.
Qual. Theory Dyn. Syst., 18(2), 631-652. 2019. [DOI]
PreprintAbstractPreprint at DDDUAB

P. B. Acosta-Humánez, J. T. Lázaro, J. J. Morales-Ruiz, C. Pantazi.
Differential Galois theory and non-integrability of planar polynomial vector fields.
J. Differential Equations, 264(12), 7183-7212. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Algaba, C. García, J. Giné, J. Llibre.
The center problem for $Z_2$-symmetric nilpotent vector fields.
J. Math. Anal. Appl., 466, 183-198. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

J. C. Artés, F. Braun, J. Llibre.
The phase portrait of the Hamiltonian system associated to a Pinchuk map.
An. Acad. Brasil. Ci., 90(3), 2599-2616. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

J. C. Artés, J. Llibre, A. C. Rezende.
Structurally unstable quadratic vector fields of codimension one.
Birkhäuser, 2018.
Link at publisherContents

J. C. Artés, J. Llibre, C. Valls.
Dynamics of the Higgins-Selkov and Selkov systems.
Chaos Solitons Fractals, 114, 145-150. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

K. Baranski, N. Fagella, X. Jarque, B. Karpinska.
Connectivity of Julia sets of Newton maps: a unified approach.
Rev. Mat. Iberoam., 34(3), 1211-1228. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

L. Barreira, J. Llibre, C. Valls.
Limit cycles bifurcating from a zero-Hopf singularity in arbitrary dimension.
Nonlinear Dynam., 92(1159), 8 pages. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB