M. Barkat, R. Benterki, J. Llibre.
The extended 16th Hilbert problem for a class of discontinuous piecewise differential systems.
Nonlinear Dynam., 111, 1475-1484. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. L. R. Bastos, C. A. Buzzi, J. Torregrosa.
Cyclicity near infinity in piecewise linear vector fields having a nonregular switching line.
Qual. Theory Dyn. Syst., 22(125), . 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

L. Baymout, R. Benterki, J. Llibre.
Limit cycles of some families of discontinuous piecewise differential systems separated by a straight line.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 33(14), 2350166. 2023. [DOI]
AbstractFull PDF

I. Benabdallah, R. Benterki, J. Llibre.
The limit cycles of a class of piecewise differential systems.
Bol. Soc. Mat. Mexicana, 29, 62:1-45. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

R. Benterki, J. Llibre.
On the limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by irreducible cubic curves III.
Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms, 30, 35-77. 2023.
PreprintAbstract

R. Benterki, J. Llibre.
Symmetric phase portraits of homogeneous polynomial Hamiltonian systems of degree 1, 2, 3, 4 and 5 with finitely many equilibria.
Symmetry (Basel), 15, 1476. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

F. Braun, J. Llibre.
On the connection between global centers and global injectivity in the plane.
Differ. Equ. Dyn. Syst., . 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

L. Cairó, J. Llibre.
Phase portraits of the families VII and VIII of the quadratic systems.
Axioms, 2023(12), 756. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Canela, V. Evdoridou, A. Garijo, X. Jarque.
On the basins of attraction of a one-dimensional family of root finding algorithms: from Newton to Traub.
Math. Z., 303(55), 1-22. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

T. Chen, L. Huang, J. Llibre.
Non-existence and uniqueness of limit cycles for a class of three-dimensional piecewise linear differential systems.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 33(6), 2350075 (13 pages). 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

T. Chen, J. Llibre.
Nilpotent bi-centers in continuous piecewise $Z_2$-equivariant cubic polynomial Hamiltonian vector field: cusp-cusp type.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 33(12), . 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

B. Coll, A. Gasull, R. Prohens.
Probability of existence of limit cycles for a family of planar systems.
J. Differential Equations, 373, 152-175. 2023. [DOI]
PreprintPreprintAbstractFull PDFPreprint at DDDUAB

C. Cufí-Cabré, J. Llibre.
Limit cycles of linear vector fields on ${{S}^2}^m \times R^ n$.
Pacific J. Math., 324(2), 249-263. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

E. Diz Pita, J. Llibre, M. V. Otero Espinar.
Study of the nonelementary singular points and the dynamics near the infinity in Predator-Prey systems.
In 103-128Springer, 2023. [DOI]
PreprintPreprint at DDDUAB

M. Esteban, J. Llibre, C. Valls.
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]
PreprintAbstractPreprint at DDDUAB

A. Ferragut, A. Gasull, X. Zhang.
Meromorphic first integrals of analytic diffeomorphisms.
J. Math. Anal. Appl., 519, 126796. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. D. García Saldaña, J. Llibre, C. Valls.
On a class of global centers of linear systems with quintic homogeneous nonlinearities.
Dyn. Contin. Discrete Impuls. Syst. Ser A: Math Anal., 30, 135-148. 2023.
PreprintAbstract

B. García, J. Llibre, J. S. Pérez del Río, S. Pérez-González.
Limit cycles of polynomially integrable piecewise differential systems.
Axioms, 2023(12), 342. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

I. A. García, J. Llibre.
Polynomial Liénard systems with a nilpotent global center.
Rend. Circ. Mat. Palermo (2), 72, 3625–3636. 2023.
AbstractFull PDF

A. Garijo, X. Jarque.
Dynamics of the secand map near infinity.
J. Difference Equ. Appl., 28(10), 1334-1347. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB