J. Llibre, T. Salhi.
On a class of polynomial differential systems of degree 4: phase portraits and limit cycles.
Topol. Methods Nonlinear Anal., 57(1), 441-463. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, V. F. Sirvent.
Entropy and periods for continuous graph maps.
Comput. Appl. Math., 40, 300:1-11. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, V. F. Sirvent.
Periodic structure of the transversal maps on surfaces.
J. Fixed Point Theory Appl., 23(74), 1-13. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, Y. Tian.
Dynamics of the FitzHugh-Nagumo system having invariant algebraic surfaces.
Z. Angew. Math. Phys., 72, 15. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, Y. Tian.
The zero-Hopf bifurcations of a four-dimensional hyperchaotic system.
J. Math. Phys., 62(052703), 1-9. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, Y. Tian.
Generalized analytic integrability of a class of polynomial differential systems in $C^2$.
Acta Appl. Math., 173(1), 1-17. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, Y. Tian.
A survey on the Kovalevskaya exponents and their applications.
J. Math. Anal. Appl., 504(2), 125576. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Limit cycles of planar piecewise differential systems with linear Hamiltonian saddles.
Symmetry (Basel), 13, 1128:1-10. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Weierstrass integrability of complex differential equations.
Acta Math. Sinica (N.S.), 37(10), 1497-1506. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
A sufficient condition for the real Jacobian conjecture in $R^2$.
Nonlinear Anal. Real World Appl., 60, 103298:1-10. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Configurations of the topological indices of the planar polynomial differential systems of degree (2,m).
Results Math., 76, 21. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Rational limit cycles on Abel equations.
Commun. Pure Appl. Anal., 20(3), . 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
The Euler-Jacobi formula and the planar quadratic-quartic polynomial differential systems.
Proc. Amer. Math. Soc., 149(1), 135-141. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Periodic orbits for a generalized Hénon-Heiles Hamiltonian system with an additional singular gravitational term.
Europhys. Lett. EPL, 134(60005), . 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Phase portraits of the complex Abel polynomial differential systems.
Chaos Solitons Fractals, 148, 111050:1-5. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Polynomial differential systems with even degree have no global centers.
J. Math. Anal. Appl., 503, 125281:1-5. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Dynamics of the Szekeres system.
J. Math. Phys., 62, 082502 (7 pages). 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, X. Zhang.
A survey on algebraic and explicit non-algebraic limit cycles in planar differential systems.
Exposition. Math., 39, 48-61. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, X. Zhang.
The Markus-Yamabe conjecture for continuous and discontinuous piecewise linear differential systems.
Proc. Amer. Math. Soc., 149(12), 5264-5274. 2021. [DOI]
PreprintFull PDFPreprint at DDDUAB

D. Marín, J. Villadelprat.
Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: general setting.
J. Differential Equations, 275, 684-732. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB