New Publications:

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. November, 2017.
 [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]

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]

J. Llibre, M. A. Teixeira.   NEW 2017-10-26
Piecewise linear differential systems with only centers can create limit cycles?
To appear in Nonlinear Dynam.
 [Abstract]

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

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]

A. Cima, A. Gasull, V. Mañosa.   NEW 2017-09-04
Bifurcation of 2-periodic orbits from non-hyperbolic fixed points.
J. Math. Anal. Appl., 457, 568-584, 2018. [DOI]
 [Preprint] [Abstract] [Full PDF]

J. Llibre, C. Valls.   NEW 2017-09-04
Global qualitative dynamics of the brusselator system.
Preprint. September, 2017.
 [Abstract]

J. Huang, H. Liang, J. Llibre.   NEW 2017-09-04
Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities.
Preprint. September, 2017.
 [Abstract]

A. C. Fernandes, B. A. Garcia, J. Llibre, L. F. Mello.   NEW 2017-08-08
New central configurations of the $(n+1)$-body problem.
Preprint. August, 2017.
 [Abstract]

J. Llibre, A. Murza.   NEW 2017-07-30
Polynomial vector fields on the Clifford torus.
Preprint. July, 2017.
 [Abstract]

A. Ferragut, C. Valls, C. Wiuf.   NEW 2017-07-28
On Darboux integrability of Edelstein's reaction system in $\mathbb R^3$.
Preprint. July, 2017.
 [Preprint] [Abstract]

L. P. C. Cruz, J. Torregrosa.   NEW 2017-07-27
Simultaneous bifurcation of limit cycles from a cubic piecewise center with two period annuli.
Preprint. July, 2017.
 [Preprint] [Abstract]

C. A. Buzzi, M. F. S. Lima, J. Torregrosa.   NEW 2017-07-27
Limit cycles via higher order perturbations for some piecewise differential systems.
Preprint. July, 2017.
 [Preprint] [Abstract]

E. I. Abouelmagd, J. L. G. Guirao, J. Llibre.   NEW 2017-07-27
Periodic orbits for the perturbed planar circular restricted $3$-body problem.
Preprint. July, 2017.
 [Abstract]

J. Llibre, R. O. Ramírez, V. Ramírez.   NEW 2017-07-26
Center problem for generalized $\lambda$-$\Omega$ differential systems.
Preprint. July, 2017.
 [Abstract]

J. Llibre, Y. Tian.   NEW 2017-07-26
Algebraic limit cycles bifurcating from algebraic ovals of quadratic centers.
Preprint. July, 2017.
 [Abstract]

J. Itikawa, J. Llibre.   NEW 2017-07-26
New classes of polynomial maps satisfying the real Jacobian conjecture in $\mathbb R^2$.
Preprint. July, 2017.
 [Abstract]

J. Llibre, E. Ponce, C. Valls.   NEW 2017-07-26
Two limit cycles in Liénard piecewise linear differential systems.
Preprint. July, 2017.
 [Abstract]