Publications 2019:
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E. I. Abouelmagd, J. L. G. Guirao, J. Llibre.
Periodic orbits for the perturbed planar circular restricted 3-body problem.
Discrete Contin. Dyn. Syst. Ser. B, 24(3), 2019.
 [Preprint] [Abstract] [Preprint at DDDUAB]

M. Álvarez-Ramírez, J. Llibre.
Hjelmslev quadrilateral central configurations.
Phys. Lett. A, 383, 103-109, 2019. [DOI]
 [Preprint] [Abstract] [Preprint at DDDUAB]

M. Álvarez-Ramírez, J. Llibre.
Equilic quadrilateral central configurations.
Commun. Nonlinear Sci. Numer. Simul., 78, 104872: 1-7, 2019.
 [Preprint] [Abstract]

A. Artigue, G. Cousillas.   NEW 2019-06-03
Generic homeomorphisms with shadowing of one-dimensional continua.
Axioms, 8, 66:1-6, 2019. [DOI]
 [Abstract] [Full PDF]

K. Baranski, N. Fagella, X. Jarque, B. Karpinska.
Escaping points in the boundaries of Baker domains.
J. Anal. Math., 2019. [DOI]
 [Preprint] [Abstract] [Preprint at DDDUAB]

E. Barrabés, J. M. Cors.
On central configurations of the kn-body problem.
J. Math. Anal. Appl., 476, 720-736, 2019. [DOI]
 [Preprint] [Abstract] [Preprint at DDDUAB]

J. L. R. Bastos, C. A. Buzzi, J. Llibre, D. D. Novaes.
Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold.
J. Differential Equations, 267, 3748-3767, 2019. [DOI]
 [Preprint] [Abstract]

R. Benterki, J. Llibre.
Periodic solutions of the Duffing differential equation revisited via the averaging theory.
Journal of Nonlinear Modeling and Analysis, 1(1), 11-26, 2019.
 [Preprint] [Abstract]

R. Benterki, J. Llibre.
Phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 4.
Electron. J. Differential Equations, 2019(15), 1-25, 2019.
 [Preprint] [Abstract]

M. Bohner, A. Gasull, C. Valls.
Periodic solutions of linear, Riccati, and Abel dynamic equations.
J. Math. Anal. Appl., 470, 733-749, 2019. [DOI]
 [Preprint] [Abstract] [Preprint at DDDUAB]

M. R. Cândido, J. Llibre, C. Valls.   NEW 2019-06-12
New symmetric periodic solutions for the Maxwell-Bloch differential system.
Math. Phys. Anal. Geom., 22, 16:1-13, 2019. [DOI]
 [Preprint] [Abstract]

H. Chen, J. Llibre, Y. Tang.
Centers of discontinuous piecewise smooth quasi-homogeneous polynomial differential systems.
Discrete Contin. Dyn. Syst. Ser. B, 2019. [DOI]
 [Preprint] [Abstract]

T. Chen, J. Llibre.
Limit cycles of a second-order differential equation.
Appl. Math. Lett., 88, 111-117, 2019. [DOI]
 [Preprint] [Abstract] [Preprint at DDDUAB]

C. J. Christopher, J. Llibre, C. Pantazi, S. Walcher.
On planar polynomial vector fields with elementary first integrals.
J. Differential Equations, 267, 4572-4588, 2019. [DOI]
 [Preprint] [Abstract]

A. Cima, A. Gasull, F. Mañosas, R. Ortega.
Smooth linearization of planar periodic maps.
Math. Proc. Cambridge Philos. Soc., 167, 295-320, 2019. [DOI]
 [Preprint] [Abstract]

A. Cima, S. Zafar.
Zero entropy for some birational maps of $\mathbb C^2$.
J. Math. Anal. Appl., 474, 765-781, 2019.
 [Preprint] [Abstract] [Preprint at DDDUAB]

A. Cima, S. Zafar.
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]
 [Preprint] [Abstract]

M. Corbera, J. M. Cors, J. Llibre, E. Pérez-Chavela.
Trapezoid central configurations.
Appl. Math. Comput., 346, 127-142, 2019. [DOI]
 [Preprint] [Abstract] [Preprint at DDDUAB]

L. P. C. Cruz, D. D. Novaes, J. Torregrosa.
New lower bound for the Hilbert number in piecewise quadratic differential systems.
J. Differential Equations, 266, 4170-4203, 2019. [DOI]
 [Preprint] [Abstract] [Preprint at DDDUAB]

F. S. Dias, J. Llibre, C. Valls.
$Z_2$-symmetric planar polynomial Hamiltonian systems of degree 3 with nilpotent centers.
Electron. J. Differential Equations, 2019(82), 1-29, 2019.
 [Preprint] [Abstract]

F. S. Dias, J. Llibre, C. Valls.   NEW 2019-05-20
Global dynamics of a virus model with invariant algebraic surfaces.
Rend. Circ. Mat. Palermo (2), 2019. [DOI]
 [Preprint] [Abstract]

Z. Dong.
Topological attractors of quasi-periodically forced one-dimensional maps.
PhD thesis, Universitat Autònoma de Barcelona, Bellaterra, Spain, January, 2019.
 [Full PDF]

V. Evdoridou, N. Fagella, X. Jarque, D. J. Sixsmith.
Singularities of inner functions associated with hyperbolic maps.
J. Math. Anal. Appl., 477, 536-550, 2019. [DOI]
 [Preprint] [Abstract] [Preprint at DDDUAB]

N. Fagella, À. Jorba, M. Jorba-Cusco, J. C. Tatjer.
Classification of lineal skew-products of the complex plane and an affine route to fractalization.
Discrete Contin. Dyn. Syst., 39(7), 2019. [DOI]
 [Preprint] [Abstract]

A. Ferragut, C. Galindo, F. Monserrat.
On the computation of Darboux first integrals of a class of planar polynomial vector fields.
J. Math. Anal. Appl., 478, 743-763, 2019.
 [Preprint] [Abstract]

A. Ferragut, J. D. García Saldaña, C. Valls.
Phase portraits of abel quadratic differential systems of second kind with symmetries.
Dyn. Syst., 34(2), 301-333, 2019. [DOI]
 [Preprint] [Abstract]

J. D. García Saldaña, J. Llibre, C. Valls.
Linear type global centers of linear systems with cubic homogeneous nonlinearities.
Rend. Circ. Mat. Palermo (2), 15 pp., 2019. [DOI]
 [Preprint] [Abstract]

B. García, J. Llibre, A. Lombardero, J. S. Pérez del Río.
An algorithm for providing the normal forms of spatial quasi-homogeneous polynomial differential systems.
J. Symbolic Comput., 95, 1-25, 2019. [DOI]
 [Preprint] [Abstract]

L. Gardini, V. Mañosa, I. Sushko.
A route to chaos in the boros–Moll map.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 29(4), 1930009:1-21, 2019. [DOI]
 [Preprint] [Abstract] [Preprint at DDDUAB]

A. Gasull.
Algoritmos sencillos para calcular $\pi$.
Gac. RSME, 22(1), 131-143, 2019.
 [Preprint] [Abstract] [Preprint at DDDUAB]

A. Gasull.
Difference equations everywhere: some motivating examples.
In Recent Progress in Difference Equations, Discrete Dynamical Systems and Applications (Proceedings of ICDEA2017), 129-167. Springer Proceedings in Mathematics & Statistics, 2019. [DOI]
 [Preprint] [Abstract]

A. Gasull.
Gemmes matemàtiques.
Mat. Mat., 2019, 2:1-88, 2019.
 [Preprint] [Abstract]

A. Gasull, J. T. Lázaro, J. Torregrosa.
Rational parameterizations approach for solving equations in some dynamical systems problems.
Qual. Theory Dyn. Syst., 18, 583-602, 2019. [DOI]
 [Preprint] [Abstract]

A. Gasull, V. Mañosa.
Limit cycles for piecewise linear differential systems via Poincaré-Miranda theorem.
In Research Perspectives CRM Barcelona, Summer 2018, 51-55. Springer, 2019.
 [Preprint] [Abstract]

A. Gasull, F. Mañosas.
Subseries and signed series.
Commun. Pure Appl. Anal., 18(1), 479-492, 2019. [DOI]
 [Preprint] [Abstract] [Preprint at DDDUAB]

J. Giné, J. Llibre, C. Valls.
Chiellini Hamiltonian Liénard differential systems.
Electron. J. Differential Equations, 2019(71), 1-8, 2019.
 [Preprint] [Abstract]

J. Ginoux, J. Llibre, K. Tchizawa.
Canards existence in the Hindmarsh-Rose model.
Math. Model. Nat. Phenom., 14, 409: 1-21, 2019. [DOI]
 [Preprint] [Abstract]

J. L. G. Guirao, J. Llibre.
On the periods of a continuous self-map on a graph.
Comput. Appl. Math., 38(2), 78: 1-6, 2019. [DOI]
 [Preprint] [Abstract] [Preprint at DDDUAB]

J. Itikawa, J. Llibre.
New classes of polynomial maps satisfying the real Jacobian conjecture in $\mathbb R^2$.
An. Acad. Brasil. Ci., 91(2), e20170627, 2019. [DOI]
 [Preprint] [Abstract]

S. Li, J. Llibre.
Phase portraits of continuous piecewise linear Liénard differential systems with three zones.
Chaos Solitons Fractals, 120, 149-157, 2019. [DOI]
 [Preprint] [Abstract] [Preprint at DDDUAB]

S. Li, J. Llibre.
Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line.
J. Differential Equations, 266, 8094-8109, 2019. [DOI]
 [Preprint] [Abstract] [Preprint at DDDUAB]

S. Li, J. Llibre.
On the limit cycles of planar discontinuous piecewise linear differential systems with a unique equilibrium.
Discrete Contin. Dyn. Syst. Ser. B, 2019. [DOI]
 [Preprint] [Abstract]

J. Llibre, A. Makhlouf.
Zero-Hopf periodic orbit of a quadratic system of differential equations obtained from a third-Order differential equation.
Differ. Equ. Dyn. Syst., 27, 75-82, 2019. [DOI]
 [Preprint] [Abstract] [Preprint at DDDUAB]

J. Llibre, Y. P. Martinez Mancilla, C. Vidal.
Phase portraits of linear type centers of polynomial Hamiltonian systems with Hamiltonian function of degree 5 of the form H=H_1(x)+H_2(y).
Discrete Contin. Dyn. Syst., 39(1), 75-133, 2019. [DOI]
 [Preprint] [Abstract] [Preprint at DDDUAB]

J. Llibre, M. Mousavi, A. Nabavi.
New family of centers of planar polynomial differential systems of arbitrary even degree.
J. Dyn. Control Syst., 25, 619-630, 2019. [DOI]
 [Preprint] [Abstract] [Preprint at DDDUAB]

J. Llibre, R. D. S. Oliveira, C. Valls.
Final evolutions for simplified multistrain/two-stream model for tuberculosis and dengue fever.
Chaos Solitons Fractals, 118, 181-186, 2019. [DOI]
 [Preprint] [Abstract] [Preprint at DDDUAB]

J. Llibre, E. Ponce, C. Valls.
Two limit cycles in Liénard piecewise linear differential systems.
J. Nonlinear Sci., 29, 1499-1522, 2019. [DOI]
 [Preprint] [Abstract]

J. Llibre, R. O. Ramírez, V. Ramírez.
An inverse approach to the center problem.
Rend. Circ. Mat. Palermo (2), 68, 29-64, 2019. [DOI]
 [Preprint] [Abstract] [Preprint 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]
 [Preprint] [Abstract] [Preprint at DDDUAB]

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

J. Llibre, C. Valls.
Integrability of reversible and equivariant quadratic polynomial differential systems in the plane.
49(2), 579-591, 2019. [DOI]
 [Preprint] [Abstract]

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

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

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

J. Llibre, P. Yuan.
Periodic orbits of the planar anisotropic Manev problem and of the perturbed hydrogen atom problem.
Qual. Theory Dyn. Syst., 2019. [DOI]
 [Preprint] [Abstract]

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]
 [Preprint] [Abstract] [Preprint 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.
 [Preprint] [Abstract] [Preprint at DDDUAB]

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

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

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

D. Rojas.
Asymptotic development of an integral operator and boundedness of the criticality of potential centers.
J. Dyn. Diff. Equat., 1-40, 2019. [DOI]
 [Preprint] [Abstract] [Preprint 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]
 [Preprint] [Abstract]

D. Rojas.
Resonance of isochronous oscillators.
In Research Perspectives CRM Barcelona, Summer 2018, 87-91. Springer, 2019.
 [Preprint] [Abstract]

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.
 [Preprint] [Abstract]

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