New Publications:

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]

M. R. Cândido, C. Valls.   NEW 2019-06-12
Zero-Hopf bifurcation in the general van der pol-Duffing equation.
Preprint. June, 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]

A. Algaba, C. García, J. Giné, J. Llibre.   NEW 2019-05-21
Orbitally universal centers.
Preprint. May, 2019.
 [Abstract]

J. Llibre, T. Salhi.   NEW 2019-05-21
On the limit cycles surrounding a diagonalizable linear node with homogeneous nonlinearities.
Preprint. May, 2019.
 [Abstract]

J. L. G. Guirao, J. Llibre, W. Gao.   NEW 2019-05-20
C1 self-maps on some compact manifolds with infinitely many hyperbolic periodic orbits.
Preprint. May, 2019.
 [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]
 [Abstract]

J. Llibre, A. Nabavi.   NEW 2019-05-20
Phase portraits of the Selkov model in the Poincaré disc.
Preprint. May, 2019.
 [Abstract]

J. Llibre, M. Mousavi.   NEW 2019-05-20
Phase portraits of the Higgins-Selkov system.
Preprint. May, 2019.
 [Abstract]

J. Llibre, R. O. Ramírez, V. Ramírez.   NEW 2019-05-03
On the integrability of vector fields in R^N.
Preprint. May, 2019.
 [Abstract]

G. Cousillas, J. Groisman, J. Xavier.   NEW 2019-04-29
Topologically Anosov plane homeomorphisms.
Preprint. April, 2019.
 [Preprint] [Abstract]

G. Cousillas.   NEW 2019-04-29
A fixed point theorem for plane homeomorphisms with the topological shadowing property.
Preprint. April, 2019.
 [Preprint] [Preprint]

J. Llibre, C. Pessoa, J. Donizetti.   NEW 2019-04-29
Rational first integrals of the Liénard equations: The solution to the Poincaré problem for the Liénard equations.
Preprint. April, 2019.
 [Abstract]

J. Llibre, Y. P. Martinez Mancilla, C. Valls.   NEW 2019-04-29
On the global dynamics of a three-dimensional forced-damped differential system.
Preprint. April, 2019.
 [Abstract]

L. Gardini, V. Mañosa, I. Sushko.   NEW 2019-04-23
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]

A. Cima, A. Gasull, V. Mañosa.   NEW 2019-04-16
Stability index of linear random dynamical systems.
Preprint. April, 2019.
 [Preprint] [Abstract]

J. Llibre, T. Salhi.   NEW 2019-04-02
On a class of polynomial differential systems of degree 4: phase portraits and limit cycles.
Preprint. April, 2019.
 [Abstract]

D. Djedid, J. Llibre, A. Makhlouf.   NEW 2019-04-02
Periodic orbits bifurcating from a Hopf equilibrium of 2-dimensional polynomial Kolmogorov systems of arbitrary degree.
Preprint. April, 2019.
 [Abstract]

J. Llibre, C. Valls.   NEW 2019-04-02
Global dynamics of the integrable Armbruster-Guckenheimer-Kim galactic potential.
Preprint. April, 2019.
 [Abstract]

C. A. Buzzi, J. C. Medrado, J. Torregrosa.   NEW 2019-04-01
Limit cycles in 4-star-symmetric planar piecewise linear systems.
Preprint. April, 2019.
 [Preprint] [Abstract]

J. J. Jimenez Ruiz, J. Llibre, J. C. Medrado.   NEW 2019-03-21
Crossing limit cycles for a class of piecewise linear differential centers separated by a conic.
Preprint. March, 2019.
 [Abstract]

R. Benterki, J. Llibre.   NEW 2019-03-21
The limit cycles of piecewise linear differential systems formed by centers and separated by irreducible cubic curves.
Preprint. March, 2019.
 [Abstract]

M. Corbera, J. Llibre.   NEW 2019-03-11
Spatial convex but non-strictly convex double-pyramidal central configurations of the (2n+2)-body problem.
Preprint. March, 2019.
 [Abstract]

A. Gasull.   NEW 2019-03-11
Gemmes matemàtiques.
Preprint. To appear in Mat. Mat.
 [Preprint] [Abstract]

A. Gasull.   NEW 2019-03-11
Joies matemàtiques.
Preprint. To appear in Nou Biaix.
 [Preprint] [Abstract]

J. Llibre, R. O. Ramírez, N. Sadovskaia.   NEW 2019-03-11
Integrability in the Liouville sense for complex Hamiltonian systems.
Preprint. March, 2019.
 [Abstract]

J. Villadelprat, X. Zhang.   NEW 2019-02-22
The period function of Hamiltonian systems with separable variables.
J. Dyn. Diff. Equat., 1-27, 2019. [DOI]
 [Preprint] [Abstract]