33 publications found

J. C. Artés, J. Llibre, D. Schlomiuk, N. Vulpe.   NEW 2024-02-23
Global analysis of Riccati quadratic differential systems.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 34(1), 2450004. 2024. [DOI]
Abstract

J. Llibre, R. Tian.   NEW 2024-02-22
On the invariant straight lines of the polynomial differential systems in $\mathbb{{R}}^3$.
February, 2024.
Abstract

J. Llibre, C. Valls.   NEW 2024-02-11
The extended 16th Hilbert problem for discontinuous piecewise systems formed by linear centers and linear hamiltonian saddles separated by a nonregular line.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 33(16), 2350196. 2023. [DOI]
PostprintAbstract

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 2024 (Published online)
Abstract

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. 2024 (Published online)
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. 2024 (Published online)
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

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]
Preprint

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]
Abstract

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

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

J. Llibre, R. Tian.   NEW 2023-12-18
Periodic orbits and non-existence of $C^1$ first integrals for analytic differential systems exhibiting a zero-Hopf bifurcation in ${\mathbb {R}}^4$.
Preprint. December, 2023.
Abstract

A. Gasull, G. Rondon, P. R. Silva.   NEW 2023-12-15
On the number of limit cycles for piecewise polynomial holomorphic systems.
Preprint. December, 2023.
PreprintAbstract