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.
Polynomial differential systems with hyperbolic limit cycles.
J. Geom. Phys., 194, 104983. 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

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.
Global phase portraits of the generalized van der Pol systems.
Bull. Sci. Math., 182, 103213. 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.
Invariants of polynomial vector fields.
J. Differential Equations, 365, 895-904. 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.
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