New Publications:

N. Fagella, X. Jarque, V. Evdoridou, D. J. Sixsmith.   NEW 2018-07-20
Singularities of inner functions associated with hyperbolic maps.
Preprint. 2018.

C. Cufí-Cabré.   NEW 2018-07-19
The parameterization method for invariant curves associated to parabolic points.
Masters thesis, Universitat de Barcelona, Barcelona, 2018.
 [Full PDF]

M. R. Cândido.   NEW 2018-07-18
New results in averaging theory and its applications.
PhD thesis, Universitat Autpònoma de Barcelona, 2018.
 [Full PDF]

A. Garijo, X. Jarque.   NEW 2018-07-18
Global dynamics of the real secant method.
Preprint. 2018.

T. Chen, J. Llibre.   NEW 2018-06-05
Phase portraits and bifurcation diagrams for some Hamiltonian systems with rational potentials.
Preprint. June, 2018.
 [Abstract]

J. Llibre, C. Valls.   NEW 2018-06-05
A sufficient condition for the real Jacobian conjecture in $\mathbb R^2$.
Preprint. June, 2018.
 [Abstract]

M. Álvarez-Ramírez, J. Llibre.   NEW 2018-06-05
Equilic quadrilateral central configurations.
Preprint. June, 2018.
 [Abstract]

J. Llibre, V. F. Sirvent.   NEW 2018-06-05
On topological entropy, Lefschetz numbers and Lefschetz zeta functions.
Preprint. June, 2018.
 [Abstract]

J. Llibre, P. Yuan.   NEW 2018-06-05
Bicentric quadrilateral central configurations.
Preprint. June, 2018.
 [Abstract]

M. R. Cândido, J. Llibre, C. Valls.   NEW 2018-06-05
Invariant algebraic surfaces and Hopf-bifurcation of a finance model.
Preprint. June, 2018.
 [Abstract]

T. Chen, J. Llibre.   NEW 2018-05-08
Bifurcation diagrams and global phase portraits for some Hamiltonian systems with rational potentials.
Preprint. May, 2018.
 [Abstract]

J. Llibre, Y. P. Martinez Mancilla, C. Vidal.   NEW 2018-05-03
Algebraic and topological classification of homogeneous quartic vector fields in the plane.
Preprint. May, 2018.
 [Abstract]

A. Gasull.   NEW 2018-05-03
Integració de funcions racionals i ${\mathbf \pi}$.
To appear in Mat. Mat.
 [Preprint] [Abstract]

M. R. Cândido, J. Llibre.   NEW 2018-04-20
Zero-Hopf bifurcations in 3-dimensional differential systems with no equilibria.
To appear in Math. Comput. Simulation.
 [Preprint] [Abstract]

A. Gasull, J. Torregrosa, X. Zhang.   NEW 2018-04-20
Piecewise linear differential systems with an algebraic line of separation.
Preprint. April, 2018.
 [Preprint] [Abstract]

S. Kassa, J. Llibre, A. Makhlouf.   NEW 2018-04-13
3-dimensional zero-Hopf bifurcation via averaging theory.
Preprint. April, 2018.
 [Abstract]

D. Rojas.   NEW 2018-04-10
On the upper bound of the criticality of potential systems at the outer boundary using the Roussarie-Ecalle compensator.
Preprint. February, 2018.
 [Preprint] [Abstract]

R. Ortega, D. Rojas.   NEW 2018-04-10
Periodic oscillators, isochronous centers and resonance.
Preprint. April, 2018.
 [Preprint] [Abstract]

S. Li, J. Llibre.   NEW 2018-04-10
Global phase portraits of the key pitchfork bifurcation.
Preprint. April, 2018.
 [Abstract]

M. Bohner, A. Gasull, C. Valls.   NEW 2018-04-10
Periodic solutions of linear, Riccati, and Abel dynamic equations.
Preprint. February, 2018.
 [Preprint] [Abstract]

S. Li, J. Llibre.   NEW 2018-04-10
Phase portraits of continuous piecewise linear Liénard differential systems with three zones.
Preprint. March, 2018.
 [Abstract]