New Publications:

J. Giné, J. Llibre, C. Valls.   NEW 2018-01-11
Chiellini Hamiltonian Liénard differential systems.
Preprint. January, 2018.
 [Abstract]

J. Llibre, D. D. Novaes, I. O. Zeli.   NEW 2018-01-11
Limit cycles bifurcating from discontinuous polynomial perturbations of higher dimensional linear differential systems.
Preprint. January, 2018.
 [Abstract]

J. Giné, J. Llibre, C. Valls.   NEW 2018-01-03
Simultaneity of centers in $Z_q$-equivariant systems.
Preprint. January, 2018.
 [Abstract]

J. Llibre, C. Vidal.   NEW 2018-01-03
Periodic motion in non-axially symmetric galaxies.
Preprint. December, 2017.
 [Abstract]

R. Prohens, J. Torregrosa.   NEW 2017-12-29
New lower bounds for the Hilbert numbers using reversible centers.
Preprint. December, 2017.
 [Abstract]

S. Li, J. Llibre.   NEW 2017-12-29
Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line.
Preprint. December, 2017.
 [Abstract]

N. Fagella, X. Jarque, K. Lazebnik.   NEW 2017-12-14
Univalent wandering domains in the Eremenko-Lyubich class.
Preprint. December, 2017.
 [Preprint] [Abstract]

A. Gasull.   NEW 2017-12-13
Algoritmos sencillos para calcular $\pi$.
Preprint. December, 2017.
 [Preprint] [Abstract]

A. Gasull, F. Mañosas.   NEW 2017-12-13
Subseries and signed series.
Preprint. December, 2017.
 [Preprint] [Abstract]

M. Corbera, J. M. Cors, J. Llibre, E. Pérez-Chavela.   NEW 2017-12-12
Trapezoid central configurations.
Preprint. December, 2017.
 [Abstract]

J. Llibre.   NEW 2017-12-12
On the centers of cubic polynomial differential systems with four invariant straight lines.
Preprint. December, 2017.
 [Abstract]

D. Rojas.   NEW 2017-12-12
The monotonicity of the apsidal angle using the theory of potential oscillators.
Preprint. December, 2017.
 [Preprint] [Abstract]

X. Cen, J. Llibre, M. Zhang.   NEW 2017-12-12
Periodic solutions and their stability of some higher-order positively homogenous differential equations.
Chaos Solitons Fractals, 106, 285-288, 2018. [DOI]
 [Abstract]

B. García, J. Llibre, A. Lombardero, J. S. Pérez del Río.   NEW 2017-12-12
An algorithm for providing the normal forms of spatial quasi-homogeneous polynomial differential systems.
Preprint. December, 2017.
 [Abstract]

Ll. Alsedà, L. Bordignon, J. Groisman.   NEW 2017-12-12
Topological entropy, sets of periods and transitivity for graph maps.
Preprint. December, 2017.
 [Preprint] [Abstract]

M. R. Cândido, J. Llibre.   NEW 2017-11-24
On the zeros of higher multiplicity in the averaging functions of differential systems.
Preprint. November, 2017.
 [Abstract]

J. Llibre.   NEW 2017-11-24
On the central configurations of the $n$-body problem.
Preprint. November, 2017.
 [Abstract]

M. Han, J. Llibre, J. Yang.   NEW 2017-11-17
On uniqueness of limit cycles in general Bogdanov-Takens bifurcation.
Preprint. November, 2017.
 [Abstract]

J. Llibre, B. D. Lopes, J. R. Moraes.   NEW 2017-11-17
Periodic solutions of continuous third-order differential equations with piecewise polynomial nonlinearities.
Preprint. November, 2017.
 [Abstract]

A. Gasull, J. T. Lázaro, J. Torregrosa.   NEW 2017-11-15
Rational parametrisation approach in some dynamical systems problems.
Preprint. November, 2017.
 [Preprint] [Abstract]

M. Han, J. Llibre, Y. Tian.   NEW 2017-11-08
On the zero-Hopf bifurcatIon of the Lotka-Volterra systems in $\mathbb R^3$.
Preprint. November, 2017.
 [Abstract]

J. Llibre, J. A. Vera.   NEW 2017-11-08
Periodic solutions and their stability for some perturbed Hamiltonian systems.
Preprint. November, 2017.
 [Abstract]

A. Gasull.   NEW 2017-11-08
Difference equations everywhere: some motivating examples.
Preprint. In Recent Progress in Difference Equations, Discrete Dynamical Systems and Applications (Proceedings of ICDEA2017), Springer Proceedings in Mathematics & Statistics, 2017. (Preprint)
 [Preprint] [Abstract]

C. A. Buzzi, A. Gasull, J. Torregrosa.   NEW 2017-11-08
Algebraic limit cycles in piecewise linear differential systems.
Preprint. November, 2017.
 [Preprint] [Abstract]

N. Fagella, L. Keen.   NEW 2017-11-08
Dynamics of purely meromorphic functions of bounded type.
Preprint. November, 2017.
 [Preprint] [Abstract]

K. Baranski, N. Fagella, X. Jarque, B. Karpinska.   NEW 2017-11-08
Fatou components and singularities of meromorphic functions.
Preprint. November, 2017.
 [Preprint] [Abstract]

N. Fagella, D. Martí Pete.   NEW 2017-11-08
Dynamic rays of bounded-type transcendental self-maps of the punctured plane.
Discrete Contin. Dyn. Syst., 37(6), 3123-3160, 2017. [DOI]
 [Abstract]

S. Li, J. Llibre.   NEW 2017-10-27
On the limit cycles for discontinuous piecewise linear differential systems.
Preprint. October, 2017.
 [Abstract]

J. Giné, J. Llibre, C. Valls.   NEW 2017-10-27
Centers for the Kukles homogeneous systems with even degree.
J. Appl. Anal. Comp., 7(4), 1534-1548, 2017. [DOI]
 [Abstract]

J. Llibre, C. Valls.   NEW 2017-10-26
On the global dynamics of a finance model.
Chaos Solitons Fractals, 106, 1-4, 2018.
 [Abstract] [Preprint at DDDUAB]

J. Llibre, C. Valls.   NEW 2017-10-26
Centers of planar generalized Abel equations.
Preprint. October, 2017.
 [Abstract]

J. Llibre, A. Murza, C. Valls.   NEW 2017-10-26
We prove a conjecture on the integrability of Liénard systems.
Preprint. October, 2017.
 [Abstract]

D. Djedid, J. Llibre, A. Makhlouf.   NEW 2017-10-26
4-dimensional Hopf bifurcation via averaging theory.
Preprint. October, 2017.
 [Abstract]

F. S. Dias, J. Llibre, C. Valls.   NEW 2017-10-26
Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers.
Preprint. October, 2017.
 [Abstract]

C. A. Buzzi, J. Llibre, R. Pazim.   NEW 2017-10-26
On the dynamics of the Euler equations on $\mathbf{so(4)}$.
Preprint. October, 2017.
 [Abstract]

J. L. R. Bastos, C. A. Buzzi, J. Llibre, D. D. Novaes.   NEW 2017-10-26
Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold.
Preprint. October, 2017.
 [Abstract]

J. C. Artés, J. Llibre, C. Valls.   NEW 2017-10-26
Dynamics of the Higgins-Selkov and Selkov systems.
Preprint. October, 2017.
 [Abstract]

F. S. Dias, J. Llibre, C. Valls.   NEW 2017-10-26
Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers.
Math. Comput. Simulation, 144, 60-77, 2018. [DOI]
 [Preprint] [Abstract]

J. Llibre, M. A. Teixeira.   NEW 2017-10-26
Piecewise linear differential systems with only centers can create limit cycles?
Nonlinear Dynam., 91, 249-255, 2018. [DOI]

M. Llorens.   NEW 2017-10-15
Estudi de la dinàmica d’algunes aplicacions al pla.
PhD thesis, Universitat Autònoma de Barcelona, 2017.
 [Full PDF] [Preprint at DDDUAB]

I. Sánchez Sánchez.   NEW 2017-10-14
The center-focus and ciclicity problems: an implementation of the lyapunov method and the interpolation technique.
Masters thesis, Universitat Rovira i Virgili. Universitat Oberta de Catalunya, Barcelona, 2017.
 [Full PDF]