New Publications:

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.
 [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]

T. Chen, J. Llibre, S. Li.   NEW 2018-03-08
Phase portraits and bifurcation diagram of the gray-Scott model.
Preprint. March, 2018.
 [Abstract]

J. L. Cornelio Soberano, M. Álvarez-Ramírez, J. M. Cors.   NEW 2018-03-04
A family of stacked central configurations in the planar five-body problem.
To appear in Celestial Mech. Dynam. Astronom.

J. L. Cornelio Soberano, M. Álvarez-Ramírez, J. M. Cors.   NEW 2018-03-04
A special family of stacked central configurations: Lagrange plus Euler in one.
J. Dyn. Diff. Equat., 2018. [DOI]

M. R. Cândido, J. Llibre, C. Valls.   NEW 2018-02-28
Phase portraits of a class of van der Pol-Duffing Liénard differential equations.
Preprint. February, 2018.
 [Abstract]

A. García, J. Llibre.   NEW 2018-02-28
Existence of periodic solutions for a class of second order ordinary differential equations.
Preprint. February, 2018.
 [Abstract]

S. Li, J. Llibre.   NEW 2018-02-28
On the existence and uniqueness of limit cycles for continuous piecewise-linear Liénard differential systems with three zones.
Preprint. February, 2018.
 [Abstract]

P. B. Acosta-Humánez, J. T. Lázaro, J. J. Morales-Ruiz, C. Pantazi.   NEW 2018-02-28
Differential Galois theory and non-integrability of planar polynomial vector fields.
J. Differential Equations, 264(12), 7183-7212, 2018. [DOI]
 [Preprint] [Abstract]

G. Cousillas.   NEW 2018-02-20
Anosov topológicos en el plano.
Masters thesis, Universidad de la República, Uruguay, 2016.
 [Full PDF]

D. Juher, J. Saldaña, R. Kohn, K. Bernstein, C. Scoglio.   NEW 2018-02-15
Network-Centric interventions to contain the syphilis epidemic in San Francisco.
To appear in Sci. Rep.
 [Preprint] [Abstract]

D. Juher, J. Saldaña.   NEW 2018-02-15
Tuning the overlap and the cross-layer correlations in two-layer networks: application to an SIR model with awareness dissemination.
Phys. Rev. E, 97, 032303, 2018. [DOI]
 [Preprint] [Abstract]

M. Ollé, Ò. Rodríguez, J. Soler.   NEW 2018-02-09
Ejection-collision orbits in the RTBP.
Commun. Nonlinear Sci. Numer. Simul., 55, 298-315, 2018. [DOI]
 [Preprint] [Abstract]

A. Algaba, C. García, J. Giné, J. Llibre.   NEW 2018-02-05
The center problem for $\mathbb z_2$-symmetric nilpotent vector fields.
Preprint. January, 2018.
 [Abstract]

M. R. Cândido, J. Llibre, C. Valls.   NEW 2018-02-05
Phase portraits of the Rayleight-Duffing oscillator with positive linear stiffness and linear damping.
Preprint. January, 2018.
 [Abstract]

J. Llibre, D. E. Nuñez, A. Rivera.   NEW 2018-02-05
Periodic solutions of the Nathanson’s and the comb-drive finger models.
Preprint. January, 2018.
 [Abstract]

A. Gasull, M. Llorens, V. Mañosa.   NEW 2018-02-05
Periodic points of a Landen transformation.
To appear in Commun. Nonlinear Sci. Numer. Simul.
 [Preprint] [Abstract]

M. Álvarez-Ramírez, J. Llibre.   NEW 2018-02-05
Hjelmslev quadrilateral central configurations.
Preprint. January, 2018.
 [Abstract]

R. Ortega, D. Rojas.   NEW 2018-02-05
A proof of Bertrand’s theorem using the theory of isochronous potentials.
Preprint. January, 2018.
 [Preprint] [Abstract]

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]