R. F. Appis, J. Llibre.
Global centers of a family of cubic systems.
Aequationes Math., 98, 1373-1389. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. C. Artés.
Structurally unstable quadratic vector fields of codimension two: families possessing one finite saddle-node and a separatrix connection.
Qual. Theory Dyn. Syst., 23(40), . 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. C. Artés, J. Llibre, D. Schlomiuk, N. Vulpe.
Abel quadratic differential systems of second kind.
Electron. J. Differential Equations, 2024(50), 1-38. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

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

J. C. Artés, J. Llibre, N. Vulpe.
Dynamics of the isotopic star differential system from the mathematical and physical point of views.
Appl. Math., 4(1), 70-78. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. C. Artés, M. C. Mota, A. C. Rezende.
Quadratic systems possessing an infinite elliptic-saddle or an infinite nilpotent saddle.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 34(11), 2430023. 2024. [DOI]
Preprint (Extended Version)PreprintAbstractPreprint at DDDUAB

A. Bakhshalizadeh, J. Llibre.
Phase portraits of a class of cubic systems with an ellipse and a straight line as invariant algebraic curves.
Differ. Equ. Dyn. Syst., 32(3), 871-907. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

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

L. Barreira, J. Llibre, C. Valls.
On the global nilpotent centers of cubic polynomial Hamiltonian systems.
Differ. Equ. Dyn. Syst., 32(4), 1001-1011. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

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

L. Baymout, R. Benterki, J. Llibre.
Limit cycles of the discontinuous piecewise differential systems separated by a nonregular line and formed by a linear center and a quadratic one.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 34(5), 245005. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

L. Baymout, R. Benterki, J. Llibre.
Three-dimensional limit cycles generated from discontinuous piecewise differential systems separated by two intersecting planes.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 34(16), 2450204 (19 pages). 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

L. Baymout, R. Benterki, J. Llibre.   NEW 2025-04-15
The limit cycles of a class of discontinuous piecewise differential systems.
Int. J. Dyn. Syst. Differ. Equ., 13(4), . 2024. [DOI]
PreprintAbstract

I. Benabdallah, R. Benterki, J. Llibre.
Limit cycles of discontinuous piecewise differential systems separated by a straight line and formed by cubic reversible isochronous centers having rational first integrals.
Dynam. Contin. Discrete Impuls. Systems. Ser. B, 31(1), 1-23. 2024.
PreprintAbstractPreprint at DDDUAB

R. Benterki, L. Damene, J. Llibre.
The limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by irreducible cubic curves II.
Differ. Equ. Dyn. Syst., 32(1), 115–149. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

S. Borrós.
Computational approach to some problems in discrete dynamical systems.
PhD thesis, Universitat Autònoma de Barcelona, Bellaterra, January, 2024.
Full PDF

C. Bouaziz, J. Llibre, D. Djedid, A. Makhlouf.
Periodic orbits in the zero-Hopf bifurcations of 3-Dimensional Kolmogorov systems of degree 3.
Appl. Math. E-Notes, 24, 237-273. 2024.
PreprintAbstractPreprint at DDDUAB

C. Bouaziz, J. Llibre, A. Makhlouf.
Limit cycle bifurcation from a zero-Hopf equilibrium for a class of 3-dimensional Kolmogorov systems.
Partial Differ. Appl. Math., 11, 100810. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

F. Braun, L. P. C. Cruz, J. Torregrosa.
On the number of limit cycles in piecewise planar quadratic differential systems.
Nonlinear Anal. Real World Appl., 79, 104124. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

C. A. Buzzi, A. L. Rodero, J. Torregrosa.
3-dimensional piecewise linear and quadratic vector fields with invariant spheres.
Electron. J. Qual. Theory Differ. Equ., 43, 1-27. 2024. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB