J. Llibre, C. Valls.   NEW 2024-02-11
The phase portrait of all polynomial Liénard isochronous centers.
Chaos Solitons Fractals, 180, 114500. 2024. [DOI]
Abstract

L. Baymout, R. Benterki, J. Llibre.   NEW 2024-01-31
The solution of the extended 16th Hilbert problem for some classes of piecewise differential systems.
Mathematics, 12(3), 464. 2024. [DOI]
PreprintAbstract

P. B. Acosta-Humánez, J. T. Lázaro, J. J. Morales-Ruiz, C. Pantazi.   NEW 2024-01-24
Semiclassical quantification of some two degree of freedom potentials: a Differential Galois approach.
J. Math. Phys., 65, 012106. 2024. [DOI]
PostprintAbstract

I. A. García, J. Giné, J. Llibre.   NEW 2024-01-22
Characterization of global centers by the monodromy at infinity.
Preprint. January, 2024.
Abstract

G. Dong, J. Llibre.   NEW 2024-01-17
The uniform isochronous centers with homogeneous nonlinearities of degree 5.
Preprint. January, 2024.
Abstract

G. Dong, J. Llibre.   NEW 2024-01-17
Periodic orbits for an autonomous version of the Duffing-Holmes oscillator.
Preprint. January, 2024.
Abstract

J. Llibre, R. Tian.   NEW 2024-01-14
The easiest polynomial differential systems in $\mathbb{{R}}^4$ having an invariant sphere.
Preprint. January, 2024.
Abstract

M. Barcelona, À. Haro, J. M. Mondelo.   NEW 2024-01-08
Semianalytical computation of heteroclinic connections between center manifolds with the parameterization method.
SIAM J. Appl. Dyn. Syst., 23(1), 98-126. 2024. [DOI]
AbstractFull PDF

J. Giné, J. Llibre.   NEW 2024-01-07
Characterization of the Riccati and Abel polynomial differential systems having invariant algebraic curves.
Preprint. January, 2024.
Abstract

R. Benterki, L. Damene, J. Llibre.   NEW 2024-01-01
The limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by irreducible cubic curves II.
Differ. Equ. Dyn. Syst., 32, 115–149. 2024. [DOI]
PreprintAbstractOA at DDDUAB

A. Gasull.   NEW 2023-12-28
Las desigualdades isoperimétrica y de Wirtinger.
To appear in Gac. R. Soc. Mat. Esp.
Full PDF

E. Diz Pita, J. Llibre, M. V. Otero Espinar.   NEW 2023-12-28
In Nonlinear Systems and Complexity, 103-128, Springer, 2023. [DOI]
PreprintOA at DDDUAB

M. Esteban, J. Llibre, C. Valls.   NEW 2023-12-28
An extension of the 16-th Hilbert problem for continuous piecewise linear-quadratic centers separated by a non-regular line.
Chaos, 33, 123120. 2023. [DOI]
PreprintAbstractOA at DDDUAB

J. Llibre, C. Valls.   NEW 2023-12-28
On the integrability of a four-prototype Rössler system.
Math. Phys. Anal. Geom., 26(5), . 2023. [DOI]
Abstract

D. He, J. Llibre.   NEW 2023-12-26
Limit cycles in a class of planar discontinuous piecewise quadratic differential systems with a non-regular discontinuous boundary (II).
Preprint. December, 2023.
Abstract

J. Llibre, C. Valls.   NEW 2023-12-25
Dynamics of a class of 3-dimensional Lotka-Volterra systems.
Dyn. Contin. Discrete Impuls. Syst. Ser A: Math Anal., 30(4a), 303–307. 2023.
Abstract

J. J. Jimenez Ruiz, J. Llibre, C. Valls.   NEW 2023-12-24
Limit cycles for discontinuous piecewise differential systems in $R^3$ separated by a paraboloid.

Abstract

D. He, J. Llibre.   NEW 2023-12-20
Limit cycles in a class of planar discontinuous piecewise quadratic differential systems with a non-regular discontinuous boundary (I).
Preprint. December, 2023.
Abstract