P. B. Acosta-Humánez, J. T. Lázaro, J. J. Morales-Ruiz, C. Pantazi.
Semiclassical quantification of some two degree of freedom potentials: a Differential Galois approach.
J. Math. Phys., 65, 012106. 2024. [DOI]
PostprintAbstract

Ll. Alsedà, L. Bordignon, J. Groisman.
Topological entropy, sets of periods and transitivity for graph maps.
Ukraïn. Mat. Zh., 76(1), 31-47. 2024. [DOI]
PreprintAbstract

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]
PostprintAbstract

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]
PostprintAbstract

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]
PreprintAbstractFull PDFPreprint 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, 871-907. 2024. [DOI]
PreprintAbstract

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]
AbstractFull PDF

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]
PreprintAbstract

L. Baymout, R. Benterki, J. Llibre.   NEW 2024-05-20
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]
PostprintAbstract

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, 1-23. 2024.
PreprintAbstract

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, 115–149. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

F. Braun, L. P. C. Cruz, J. Torregrosa.   NEW 2024-04-15
On the number of limit cycles in piecewise planar quadratic differential systems.
Nonlinear Anal. Real World Appl., 79, 104124. 2024. [DOI]
PostprintAbstract

J. Casimiro, J. Llibre.
Limit cycles of discontinuous piecewise differential Hamiltonian systems separated by a straight line.
Axioms, 13(161), 1-7. 2024. [DOI]
AbstractFull PDF

J. Casimiro, J. Llibre.   NEW 2024-06-16
Limit cycles of discontinuous piecewise differential hamiltonian systems separated by a circle, or a parabola, or a hyperbola.
Math. Comput. Simulation, 225, 303-312. 2024. [DOI]
PostprintAbstract

C. J. Christopher, C. Li, J. Torregrosa.
Limit Cycles of Differential Equations.
Birkhäuser Cham, 2024.
Link Springer

M. Corbera, C. Valls.
Global nilpotent reversible centers with cubic nonlinearities symmetric with respect to the $x$-axis.
Results in Physics, 79(129), . 2024. [DOI] (Preprint)
PostprintAbstract

P. Maesschalck, J. Torregrosa.
Critical periods in planar polynomial centers near a maximum number of cusps.
J. Differential Equations, 380(1), 181-197. 2024. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

Z. Diab, J. L. G. Guirao, J. Llibre, A. Makhlouf.
Limit cycles of a generalized Mathieu differential system.
Appl. Math. Non. Sciences, 9(1), 1-8. 2024.
PreprintAbstractFull PDF

M. Duran Baldissera, J. Llibre, R. D. S. Oliveira.
Dynamics of a generalized Rayleigh system.
Differ. Equ. Dyn. Syst., 32, 933-941. 2024. [DOI]
PreprintAbstract

Á. Fernández-Mora, À. Haro, J. M. Mondelo.
Flow map parameterization methods for invariant tori in quasi-periodic Hamiltonian systems.
SIAM J. Appl. Dyn. Syst., 23(1), 127-166. 2024. [DOI]
PostprintAbstract