J. Llibre, C. Valls.
NEW 2024-02-11The phase portrait of all polynomial Liénard isochronous centers.
Chaos Solitons Fractals, 180, 114500. 2024.
[DOI]Abstract
L. Baymout, R. Benterki,
J. Llibre.
NEW 2024-01-31The 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 2024-01-24Semiclassical 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 2024-01-22Characterization of global centers by the monodromy at infinity.
Preprint. January, 2024.
Abstract
G. Dong,
J. Llibre.
NEW 2024-01-17The uniform isochronous centers with homogeneous nonlinearities of degree 5.
Preprint. January, 2024.
Abstract
G. Dong,
J. Llibre.
NEW 2024-01-17Periodic orbits for an autonomous version of the Duffing-Holmes oscillator.
Preprint. January, 2024.
Abstract
J. Llibre, R. Tian.
NEW 2024-01-14The easiest polynomial differential systems in $\mathbb{{R}}^4$ having an invariant sphere.
Preprint. January, 2024.
Abstract
M. Barcelona, À. Haro,
J. M. Mondelo.
NEW 2024-01-08Semianalytical 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 2024-01-07Characterization of the Riccati and Abel polynomial differential systems having invariant algebraic curves.
Preprint. January, 2024.
Abstract
R. Benterki, L. Damene,
J. Llibre.
NEW 2024-01-01The 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 2023-12-28Las 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 2023-12-28In Nonlinear Systems and Complexity, 103-128, Springer, 2023.
[DOI]PreprintOA at DDDUAB
M. Esteban,
J. Llibre, C. Valls.
NEW 2023-12-28An 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 2023-12-28On the integrability of a four-prototype Rössler system.
Math. Phys. Anal. Geom., 26(5), . 2023.
[DOI]Abstract
D. He,
J. Llibre.
NEW 2023-12-26Limit 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 2023-12-25Dynamics 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 2023-12-24Limit cycles for discontinuous piecewise differential systems in $R^3$ separated by a paraboloid.
Abstract