J. Llibre, C. Valls.
The 16th Hilbert problem for discontinuous piecewise linear differential systems separated by the algebraic curve $y=x^n$.
Math. Phys. Anal. Geom., 26(25), . 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Reversible global centers with quintic homogeneous nonlinearities.
Dyn. Syst., 38(4), 632-653. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Dynamics of a class of 3-dimensional Lotka-Volterra systems.
Dyn. Contin. Discrete Impuls. Syst. Ser A: Math Anal., 30(4a), 303–307. 2023.
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Phase portraits of the complex Riccati equation with constant coefficients.
Dynam. Systems Appl., 32, 189-198. 2023. [DOI]
PreprintAbstract

J. Llibre, C. Valls.
On the "traveling pulses" of the limit of the FitzHugh-Nagumo equations when $\epsilon\rightarrow 0$.
Nonlinear Anal. Real World Appl., 73, 103891. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Characterization of the Kukles polynomial differential systems having an invariant algebraic curve.
Bull. Sci. Math., 182, 103224. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Invariants of polynomial vector fields.
J. Differential Equations, 365, 895-904. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
On the integrability of a four-prototype Rössler system.
Math. Phys. Anal. Geom., 26(5), . 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
The extended 16th Hilbert problem for discontinuous piecewise systems formed by linear centers and linear hamiltonian saddles separated by a nonregular line.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 33(16), 2350196. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

D. Marín, M. Saavedra, J. Villadelprat.
Non-bifurcation of critical periods from semi-hyperbolic polycycles of quadratic centers.
Proc. Roy. Soc. Edinburgh Sect. A, 153(1), 104 - 114. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

Y. P. Martinez-Mancilla, J. Llibre.
Global attractor in the positive quadrant of the Lotka-Volterra system in $R^2$.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 33(12), Paper No. 2350147, 12. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

R. Meucci, J. Llibre, E. Pugliese, J. Ginoux.
Dynamics of two-level laser models with cavity loss modulation and delayed feedback.
J. Opt. Soc. Am. B, 40(8), 2114-2121. 2023. [DOI]
PreprintAbstract

D. Oro, Ll. Alsedà, A. Hastings, M. Genovart, J. Sardanyés.
Social copying drives a tipping point for non-linear population collapse.
Proceedings of the National Academy of Sciences, 120(11), e2214055120. 2023. [DOI]
Suppl. Inf.PreprintAbstractPreprint at DDDUAB

O. H. Perez, G. Rondon, P. R. Silva.
Slow-fast normal forms arising from piecewise smooth vector fields.
J. Dyn. Control Syst., 29, 1709-1726. 2023. [DOI]
PreprintAbstract

Ll. Alsedà, D. Juher, F. Mañosas.
Forward triplets and topological entropy on trees.
Discrete Contin. Dyn. Syst., 42(2), 623-641. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

M. Álvarez-Ramírez, A. Gasull, J. Llibre.
On the equilateral pentagonal central configurations.
Commun. Nonlinear Sci. Numer. Simul., 112, 106511:1-12. 2022. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

A. M. Benini, V. Evdoridou, N. Fagella, P. J. Rippon, G. M. Stallard.
Classifying simply connected wandering domains.
Math. Ann., 383, 1127-1178. 2022. [DOI] (Open Acces)
PreprintAbstractPreprint at DDDUAB

D. d. C. Braga, J. Llibre, L. F. Mello.
Transcritical bifurcation at infinity in planar piecewise polynomial differential systems with two zones.
Dyn. Syst., 37(4), 578-602. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

C. A. Buzzi, Y. R. Carvalho, J. Llibre.
Crossing limit cycles of planar discontinuous piecewise differential systems formed by isochronous centers.
Dyn. Syst., 37(4), 710-728. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Canela, Ll. Alsedà, N. Fagella, J. Sardanyés.
Dynamical mechanism behind ghosts unveiled in a map complexification.
Chaos Solitons Fractals, 156, 111780. 2022. [DOI]
PreprintAbstract