New Publications:

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.
Preprint. December, 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.
Preprint. November, 2018.
 [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]

E. I. Abouelmagd, J. L. G. Guirao, J. Llibre.   NEW 2018-10-26
The dynamics of the relativistic Kepler problem.
Preprint. October, 2018.
 [Abstract]

R. Benterki, J. Llibre.   NEW 2018-10-24
Phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 4.
Preprint. October, 2018.
 [Abstract]

J. Giné, J. Llibre.   NEW 2018-10-22
Generalized Painlevé non-integrability for polynomial differential systems in $C^2$.
Preprint. October, 2018.
 [Abstract]

J. Llibre, L. d. A. S. Menezes.   NEW 2018-10-22
On the limit cycles of a class of discontinuous piecewise linear differential systems.
Preprint. October, 2018.
 [Abstract]

E. Barrabés, J. M. Cors.   NEW 2018-10-18
On central configurations of the kn-body problem.
Preprint. October, 2018.
 [Preprint] [Abstract]

L. P. C. Cruz.   NEW 2018-10-12
Bifurcations of limit cycles in planar differential and piecewise differential systems.
PhD thesis, Universitat Autònoma de Barcelona, Bellaterra, October, 2018.
 [Abstract]

E. Barrabés, J. M. Cors.   NEW 2018-10-12
On strictly convex central configurations of the 2n-Body problem.
J. Dyn. Diff. Equat., 2018. [DOI]
 [Preprint] [Abstract]

J. D. García Saldaña, J. Llibre, C. Valls.   NEW 2018-10-06
Nilpotent global centers of linear systems with cubic homogeneous nonlinearities.
Preprint. October, 2018.
 [Abstract]

L. Barreira, J. Llibre, C. Valls.   NEW 2018-09-30
Linear type global centers of cubic Hamiltonian systems symmetric with respect to the x-axis.
Preprint. September, 2018.
 [Abstract]

Y. R. Carvalho.   NEW 2018-09-30
Study of limic cycles in a class of discontinuous differential equations.
Masters thesis, Universidade Estadual Paulista (UNESP), Sao Jose do Rio Preto, March, 2016. (In Portuguese)
 [Full PDF]

J. Llibre, R. O. Ramírez.   NEW 2018-09-29
Integrability by separation of variables.
Preprint. September, 2018.
 [Abstract]

J. Llibre, A. Makhlouf.   NEW 2018-09-28
Zero-Hopf periodic orbits for a Röossler differential system.
Preprint. September, 2018.
 [Abstract]

Y. P. Martinez Mancilla.   NEW 2018-09-27
Dynamics of polynomial and rational differential equation with emphasis in the Hamiltonian centers, rational potential, limit cycles and homogeneous systems.
PhD thesis, Universidad del Bio-Bio, Concepción, March 15, 2018.
 [Abstract]

J. Llibre, A. Makhlouf.   NEW 2018-09-27
Zero-Hopf periodic orbit of a quadratic system of differential equations obtained from a third-Order.
Differ. Equ. Dyn. Syst., 1-8, 2017. [DOI]
 [Preprint] [Abstract]

J. D. García Saldaña, J. Llibre, C. Valls.   NEW 2018-09-22
Linear type global centers of linear systems with cubic homogeneous nonlinearities.
Preprint. September, 2018.
 [Abstract]

A. Gasull, V. Mañosa.   NEW 2018-09-18
Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem.
Preprint. September, 2018.
 [Preprint] [Abstract]

S. Li, J. Llibre.   NEW 2018-09-18
On the number of limit cycles in planar discontinuous piecewise linear differential systems of saddle-node type.
Preprint. September, 2018.
 [Abstract]

A. Ferragut, J. D. García Saldaña, C. Valls.   NEW 2018-09-12
Phase portraits of abel quadratic differential systems of second kind with symmetries.
Dyn. Syst., 2018. [DOI]
 [Preprint] [Abstract]

B. Campos, J. Canela, P. Vindel.   NEW 2018-08-31
Convergence regions for the Chebyshev-Halley family.
Commun. Nonlinear Sci. Numer. Simul., 56, 508-525, 2018. [DOI]
 [Preprint] [Abstract]

J. Canela.   NEW 2018-08-31
Rational maps with Fatou components of arbitrarily large connectivity.
J. Math. Anal. Appl., 462, 35-56, 2018. [DOI]
 [Preprint] [Abstract]

J. Canela.   NEW 2018-08-31
Singular perturbations of Blaschke products and connectivity of Fatou components.
Discrete Contin. Dyn. Syst., 37, 3567-3585, 2017. [DOI]
 [Preprint] [Abstract]

J. Llibre, X. Zhang.   NEW 2018-08-28
Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center.
J. Math. Anal. Appl., 467, 537-549, 2018. [DOI]
 [Preprint] [Abstract]

J. Llibre, J. Yu.   NEW 2018-08-28
Global phase portraits for quadratic systems with a hyperbola and a straight line as invariant algebraic curves.
Electron. J. Differential Equations, 2018(141), 1-19, 2018.
 [Preprint] [Abstract]

S. Li, J. Llibre.   NEW 2018-08-27
On the limit cycles of planar discontinuous piecewise linear differential systems with a unique equilibrium.
Preprint. August, 2018.
 [Abstract]

J. Llibre, A. Nabavi, M. Mousavi.   NEW 2018-08-27
Limit cycles bifurcating from a family of reversible quadratic centers via averaging theory.
Preprint. August, 2018.
 [Abstract]