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., 18, 1454-1469. 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]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Global dynamics of a system coming from the study of a static star.
Differ. Equ. Dyn. Syst., 32(2), 607-617. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
The 16th Hilbert problem for discontinuous piecewise linear Hamiltonian saddles and isochronous centers of degree two separated by a straight line.
Differ. Equ. Dyn. Syst., . 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Phase portraits of the equation $\ddot x + a x \dot x + b x^3=0$.
Regul. Chaotic Dyn., 29(6), 825-837. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
The phase portrait of all polynomial Liénard isochronous centers.
Chaos Solitons Fractals, 180, 114500. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Darboux theory of integrability in $T^n$.
Eur. J. Math., 10(26), 17 pp.. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Darboux theory of integrability on the Clifford n-dimensional torus.
Bull. Sci. Math., 192, 103403. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
The classical and improved Euler-Jacobi formula and polynomial vector fields in $R^n$.
J. Dyn. Diff. Equat., 36, 2093-2110. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
The dynamics of the Ladder system.
J. Phys. Soc. Jpn., 93, 014001 (5 pp.). 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
A weakened Markus-Yamabe condition for planar polynomial differential systems of degree (1,n).
Proc. Edinb. Math. Soc. (2), 66, 1110–1118. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Twin quadratic polynomial vector fields in the space $C^3$.
Dyn. Contin. Discrete Impuls. Syst. Ser A: Math Anal., 31(2), 121-132. 2024.
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
On the dynamics of a hyperjek memristive system.
Applied Physics A, 130, 903. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

D. Marín, J. Villadelprat.
Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: coefficient properties.
J. Differential Equations, 404, 43-107. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

T. Mayayo.
Local codimension-1 bifurcations in planar Filippov systems.
Masters thesis, Universitat Politècnica de Catalunya, Barcelona, June, 2024.

A. C. Rezende, M. A. S. Santos, J. Torregrosa.
Period function for a family of piecewise planar Hamiltonian systems.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 34(16), 2450199 (12 pp.). 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

E. I. Abouelmagd, J. L. G. Guirao, J. Llibre.
On the periodic orbits of the perturbed two and three bodies problems.
Galaxies, 2023(11), 58. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

E. I. Abouelmagd, J. L. G. Guirao, J. Llibre.
Periodic orbits of quantised restricted three-body problem.
Universe (Basel), 9(3), 149. 2023. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

Ll. Alsedà, D. Juher, J. Los, F. Mañosas.
On families of Bowen-Series-like maps for surface groups.
Regul. Chaotic Dyn., 28(4-5), 659-667. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB