New Publications:

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.
 [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]

D. Rojas.   NEW 2018-12-12
Resonance of isochronous oscillators.
In Research Perspectives CRM Barcelona, Summer 2018, 2018.
 [Preprint] [Abstract]

J. Llibre, Y. P. Martinez Mancilla.   NEW 2018-12-11
Dynamics of a family of Lotka-Volterra systems in R^3.
Preprint. December, 2018.
 [Abstract]

J. L. G. Guirao, J. Llibre, W. Gao.   NEW 2018-12-07
Topological entropy of continuous self-maps on closed surfaces.
Preprint. December, 2018.
 [Abstract]

J. Llibre, R. D. S. Oliveira.   NEW 2018-12-07
On the limit cycle of a Belousov-Zabotinsky differential systems.
Preprint. December, 2018.
 [Abstract]

I. Sánchez Sánchez, J. Torregrosa.   NEW 2018-12-07
New advances on the Lyapunov constants of some families of planar differential systems.
In Research Perspectives CRM Barcelona, Summer 2018, 2018.
 [Preprint] [Abstract]

H. Chen, J. Llibre, Y. Tang.   NEW 2018-12-07
Centers of discontinuous piecewise smooth quasi-homogeneous polynomial differential systems.
Preprint. December, 2018.
 [Abstract]

A. Gasull, M. Sabatini.   NEW 2018-12-07
Explicit and non explicit limit cycles for Liénard equations.
Preprint. December, 2018.
 [Preprint] [Abstract]

J. Llibre, M. Messias, A. C. Reinol.   NEW 2018-12-07
Quadratic three-dimensional differential systems having invariant planes with total multiplicity nine.
Rend. Circ. Mat. Palermo (2), 67, 569-580, 2018. [DOI]
 [Abstract]

J. Llibre, R. D. S. Oliveira, C. A. B. Rodrigues.   NEW 2018-11-22
Quadratic systems with an invariant algebraic curve of degree 3 and a Darboux invariant.
Preprint. November, 2018.
 [Abstract]

J. Llibre, M. F. d. Silva.   NEW 2018-11-22
Phase portraits of integrable quadratic systems with an invariant parabola and an invariant straight line.
C. R. Acad. Sci. Paris Ser. I Math., 2018. [DOI] (In press)
 [Abstract]

A. Nurtay, M. G. Hennessy, J. Sardanyés, Ll. Alsedà, S. F. Elena.   NEW 2018-11-14
Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis.
To appear in R. Soc. Open Sci.
 [Abstract]

J. Llibre, D. Xiao.   NEW 2018-11-14
Cubic polynomial Hamiltonian systems with degenerate centers.
Preprint. November, 2018.
 [Abstract]

J. Llibre, X. Zhang.   NEW 2018-11-07
On the integrability of the Hamiltonian systems with homogeneus polynomial potentials.
Preprint. November, 2018.
 [Abstract]

J. Llibre, P. Yuan.   NEW 2018-11-05
Periodic orbits of the planar anisotropic Manev problem and of the perturbed hydrogen atom problem.
Preprint. November, 2018.
 [Abstract]

E. Diz Pita.   NEW 2018-10-31
Dynamics of a class of Lotka-Volterra systems in dimension 3.
Masters thesis, Universidade de Santiago de Compostela, Santiago de Compostela, July, 2018. (In Spanish)
 [Abstract]

J. L. Cornelio Soberano.   NEW 2018-10-31
Central configurations of five bodies in the plane.
PhD thesis, Universidad Juárez Autónoma de Tabasco, Cunduacán, Tabasco (Mexico), July, 6, 2018. (In Spanish)
 [Full PDF]