2261 publications found

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]
PreprintAbstractOA 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]
PreprintAbstractOA at DDDUAB

L. Baymout, R. Benterki, J. Llibre.   NEW 2023-12-01
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]
Abstract

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]
PreprintAbstractOA 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]
PreprintAbstractOA at DDDUAB

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

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

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

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