New Publications:

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.
Preprint. February, 2019.
 [Preprint] [Abstract]

L. Barreira, J. Llibre, C. Valls.   NEW 2019-02-18
Global nilpotent centers of cubic polynomial Hamiltonian systems symmetric with respect to the y-axis.
Preprint. February, 2019.
 [Abstract]

L. Barreira, J. Llibre, C. Valls.   NEW 2019-02-08
Bounded polynomial vector fields in R^2 and R^n.
Preprint. February, 2019.
 [Abstract]

Z. Dong.   NEW 2019-01-30
Topological attractors of quasi-periodically forced one-dimensional maps.
PhD thesis, Universitat Autònoma de Barcelona, Bellaterra, Spain, January, 2019.
 [Full PDF]

D. Rojas.   NEW 2019-01-29
Asymptotic development of an integral operator and boundedness of the criticality of potential centers.
Preprint. January, 2019.
 [Preprint] [Abstract]

J. Llibre, Y. P. Martinez Mancilla.   NEW 2019-01-25
Dynamics of a competitive Lotka-Volterra systems in R^3.
Preprint. January, 2019.
 [Abstract]

X. Chen, J. Llibre, W. Zhang.   NEW 2019-01-09
Cyclicity of (1,3)-switching FF type equilibria.
Preprint. January, 2019.
 [Abstract]

J. J. Jimenez Ruiz.   NEW 2019-01-08
Liénard differential equations defined in zones.
Masters thesis, Universidade Federal de Goias, Goiania, Brazil, March, 2016. (In Portuguese)
 [Full PDF]

L. Almeida Silva.   NEW 2019-01-08
Piecewise smooth vector fields: predator-Prey models.
Masters thesis, Universidade Federal de Goias, Goiania, Brazil, March, 2015. (In Portuguese)
 [Full PDF]

A. Gasull, H. Giacomini, M. Grau.   NEW 2019-01-07
Localizing limit cycles: from numeric to analytical results.
In Extended Abstracts Summer 2016, Slow-Fast Systems and Hysteresis: Theory and Applications, 7-11. Springer Nature Switzerland, 2018.
 [Preprint] [Abstract]

L. P. C. Cruz, V. G. Romanovskii, J. Torregrosa.   NEW 2019-01-07
The center and cyclicity problems for quadratic linear-like reversible systems.
Preprint. January, 2019.
 [Preprint] [Abstract]

J. Llibre, B. D. Lopes, P. R. Silva.   NEW 2018-12-27
Global phase portraits of the quadratic Riccati differential system.
Preprint. December, 2018.
 [Abstract]

J. Llibre, O. Ramírez.   NEW 2018-12-27
Gradient systems of harmonic polynomials.
Preprint. December, 2018.
 [Abstract]

A. Gasull, V. Mañosa.   NEW 2018-12-27
Limit cycles for piecewise linear differential systems via Poincaré-Miranda theorem.
In Research Perspectives CRM Barcelona, Summer 2018, 2018.
 [Preprint] [Abstract]

J. Llibre, M. A. Teixeira.   NEW 2018-12-27
Limit cycles in Filippov systems having a circle as switching manifold.
Preprint. December, 2018.
 [Abstract]

J. Llibre, Y. Zhao.   NEW 2018-12-27
Final evolutions for Lotka-Volterra systems in R3 having a Darboux invariant.
Preprint. December, 2018.
 [Abstract]