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 $\mathbb C^2$ 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 $\mathbb z_2$-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

A. M. Benini, N. Fagella.
Singular values and bounded Siegel disks.
Math. Proc. Cambridge Philos. Soc., 162(2), 249-265. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

C. A. Buzzi, A. Gasull, J. Torregrosa.
Algebraic limit cycles in piecewise linear differential systems.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 28(3), 1850039 (14 pages). 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

C. A. Buzzi, M. F. S. Lima, J. Torregrosa.
Limit cycles via higher order perturbations for some piecewise differential systems.
Phys. D, 371, 28-47. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

B. Campos, J. Canela, P. Vindel.
Convergence regions for the Chebyshev-Halley family.
Commun. Nonlinear Sci. Numer. Simul., 56, 508-525. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

M. R. Cândido.
New results in averaging theory and its applications.
PhD thesis, Universitat Autònoma de Barcelona, Bellaterra, July, 2018.
AbstractFull PDFPreprint at DDDUAB

M. R. Cândido, J. Llibre.
Zero-Hopf bifurcations in a hyperchaotic Lorenz system II.
Int. J. Nonlinear Sci., 25(1), 3-26. 2018.
PreprintAbstractPreprint at DDDUAB

M. R. Cândido, J. Llibre.
Periodic orbits bifurcating from a nonisolated zero-Hopf equilibrium of three-dimensional differential systems revisited.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 28(5), 1850058 (11 pages). 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

M. R. Cândido, J. Llibre.
Zero-Hopf bifurcations in 3-dimensional differential systems with no equilibria.
Math. Comput. Simulation, 151, 54-76. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

M. R. Cândido, J. Llibre.
Stability of periodic orbits in the averaging theory: applications to Lorenz and Thomas' differential systems.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 28(3), 1830007 (14 pages). 2018. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

M. R. Cândido, J. Llibre, C. Valls.
Invariant algebraic surfaces and Hopf-bifurcation of a finance model.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 28(12), 1-10. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Canela.
Rational maps with Fatou components of arbitrarily large connectivity.
J. Math. Anal. Appl., 462, 35-56. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB