A. Gasull, P. Santana.
On a variant of Hilbert's 16th problem.
Nonlinearity, 37, 125012. 2024. [DOI]
PostprintAbstract

B. Ghermoul, J. Llibre.   NEW 2024-09-15
Limit cycles for a class of continuous-Discontinuous piecewise differential systems.
Journal of Nonlinear Modeling and Analysis, 6(3), 669–-682. 2024. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

J. Giné, J. Llibre.
Characterization of the Riccati and Abel polynomial differential systems having invariant algebraic curves.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 34(5), 2450066. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Giné, V. G. Romanovskii, J. Torregrosa.
Time-reversibility and integrability of p : -q resonant vector fields.
AIMS MATH, 9(1), 73–-88. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Ginoux, R. Meucci, J. Llibre, J. C. Sprott.
The jerk dynamics of Lorenz model.
In Advances in Nonlinear Dynamics, Volume III, 121-129. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

D. He, J. Llibre.
Limit cycles in a class of planar discontinuous piecewise quadratic differential systems with a non-regular discontinuous boundary (II).
Mediterranean J. Math., 21(174), . 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

S. Li, J. Llibre, Q. Tong.
Poincaré compactification for $n$-dimensional piecewise polynomial vector fields: Theory and applications.
Topology Appl., 358, 109126. 2024. [DOI] (Preprint)
Abstract

M. F. S. Lima, J. Llibre.
Hopf bifurcation for a class of predator-prey system with small immigration.
Electronic Research Archive, 32(7), 4604-4613. 2024. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

A. Linero, V. Mañosa, D. Nieves.
On the accumulation points of non-periodic orbits of a difference equation of fourth order.
J. Math. Anal. Appl., 531, 127895. 2024.
PreprintAbstractPreprint at DDDUAB

C. Liu, J. Llibre, R. O. Ramírez, V. Ramírez.
Solution of the center problem for a class polynomial differential systems.
Acta Math. Sin. (Engl. Ser.), 40(7), 1685-1696. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre.
On my eight articles with the Professor Jorge Sotomayor.
Sao Paulo J. Math. Sci., . 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre.
Periods of self-maps on $S^2$ via their homology.
Ukr. Math. J., 76(1), 76-79. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre.   NEW 2024-09-15
Rigid polynomial differential systems with homogeneous nonlinearities.
Mathematics, 12(18), 2806. 2024. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

J. Llibre, C. Pantazi.
Qualitative study of the Selkov model.
J. Differential Equations, 393, 155–-173. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, G. Rondon.
Global centers of a class of cubic polynomial differential systems.
Rend. Circ. Mat. Palermo (2), 73, 2141-2160. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, T. Salhi.
Phase portraits of a SIR epidemic model.
Applicable Analysis, 103(6), 1165-1175. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, T. Salhi.
Planar quadratic differential systems with invariants of the form $ax^2+ bxy + cy^2 + dx + ey + c_1t$.
Bulletin of the Iranian Mathematical Society, 50(49), 16 pp.. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, T. Salhi.
Periodic orbits of continuous-discontinuous piecewise differential systems with four pieces separated by the curve $xy=0$ and formed by linear Hamiltonian systems.
Dyn. Contin. Discrete Impuls. Syst. Ser A: Math Anal., 31(4), 279-286. 2024.
PreprintPreprint at DDDUAB

J. Llibre, L. P. Serantola.
New families of global cubic centers.
Sao Paulo J. Math. Sci., . 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. Tian.
Periodic orbits and non-existence of $C^1$ first integrals for analytic differential systems exhibiting a zero-Hopf bifurcation in ${ {R}}^4$.
Rend. Circ. Mat. Palermo (2), 73(2), 2723–2733. 2024. [DOI]
PreprintAbstract