S. Li, C. Liu, J. Llibre.
On the Poincaré-Bendixson index formula for planar piecewise smooth vector fields.
J. Nonlinear Sci., 33(118), . 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

S. Li, J. Llibre, X. Sun.
On the indices of singular points for planar bounded piecewise smooth polynomial vector fields.
Nonlinear Anal. Hybrid Syst., 49, 101350. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

T. Li, J. Llibre.
On the 16-th Hilbert problem for discontinuous piecewise polynomial Hamiltonian systems.
J. Dyn. Diff. Equat., 35, 87–102. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre.
Dynamics of the Painlevé-Ince equation.
Results Math., 78(11), 1-7. 2023. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

J. Llibre.
On the $C^1$ non-integrability of the autonomous differential systems.
Nonlinear Anal. Real World Appl., 74, 103943 (9 pages). 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre.
Limit cycles of planar continuous piecewise differential systems separated by a parabola and formed by an arbitrary linear and quadratic centers.
Discrete Contin. Dyn. Syst. Ser. S, 16(3-4), 533-547. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre.
Some families of quadratic systems with at most one limit cycle.
Bul. Acad. Ştiinţe Repub. Mold. Mat., 1, 8-15. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, D. D. Novaes, C. Valls.
Existence of a cylinder foliated by periodic orbits in the generalized Chazy differential equation.
Chaos, 33(7), 073104. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Pantazi.
Global phase portraits of the quadratic systems having a singular and irreducible invariant curve of degree 3.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 33(1), 2350003. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Pantazi.
Integrability and dynamics of a simplied class B Laser system.
Chaos, 33, 103119. 2023. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

J. Llibre, R. O. Ramírez, V. Ramírez.
Dynamics through first-Order differential equations in the configuration space.
Birkhäuser Cham, 2023.
Link at publisher

J. Llibre, M. A. Teixeira.
On the periodic orbits of the continuous-discontinuous piecewise differential systems with three pieces separated by two parallel straight lines.
Commun. Nonlinear Sci. Numer. Simul., 125, 107421. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Phase portraits on the unit sphere of the stretch-twist-fold flow.
Nonlinear Anal. Model. Control, 28(5), 1020-1036. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
The Markus-Yamabe conjecture for discontinuous piecewise linear differential systems in $R^n$ separated by a conic x $R^{n-2}$.
J. Dyn. Diff. Equat., 35, 2579–2588. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Global phase portraits of the generalized van der Pol systems.
Bull. Sci. Math., 182, 103213. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Polynomial differential systems with hyperbolic limit cycles.
J. Geom. Phys., 194, 104983. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

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.
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