J. Giné, L. F. d. S. Gouveia, J. Torregrosa.
Lower bounds for the local cyclicity for families of centers.
J. Differential Equations, 275, 309-331. 2021. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

J. Giné, J. Llibre.
A new sufficient condition in order that the real Jacobian conjecture in $R^2$ holds.
J. Differential Equations, 281, 333-340. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Ginoux, J. Llibre, C. Valls.
Dynamics and Darboux integrability of the $D_2$ polynomial vector fields of degree 2 in $R^3$.
Math. Phys. Anal. Geom., 24, 1:1-16. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

L. F. d. S. Gouveia, J. Torregrosa.
Lower bounds for the local cyclicity of centers using high order developments and parallelization.
J. Differential Equations, 271, 447-479. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

L. F. d. S. Gouveia, J. Torregrosa.
Local cyclicity in low degree planar piecewise polynomial vector fields.
Nonlinear Anal. Real World Appl., 60, 103278. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

M. R. A. Gouveia, J. Llibre, L. A. Roberto.
Phase portraits of the quadratic polynomial Liénard differential systems.
Proc. Roy. Soc. Edinburgh Sect. A, 151, 202-216. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. L. G. Guirao, J. Llibre, W. Gao.
$C^1$ self-maps on some compact manifolds with infinitely many hyperbolic periodic orbits.
Houston J. Math., 47(4), 957-970. 2021.
PreprintAbstract

J. L. G. Guirao, J. Llibre, J. A. Vera, B. A. Wade.
Periodic solutions and their stability for some perturbed Hamiltonian systems.
Int. J. Geom. Methods Mod. Phys., 18(1), . 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

À. Haro, J. M. Mondelo.
Flow map parameterization methods for invariant tori in Hamiltonian systems.
Commun. Nonlinear Sci. Numer. Simul., 101, 105859:1-34. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

R. Huzak, D. Rojas.
Period function of planar turning points.
Electron. J. Qual. Theory Differ. Equ., 2021(16), 1-21. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Jové.
Dynamics on the boundary of Fatou components.
Masters thesis, Universitat de Barcelona, June, 2021.
Full PDF

S. Kassa, J. Llibre, A. Makhlouf.
N-dimensional zero-Hopf bifurcation of polynomial differential systems via averaging theory of second order.
J. Dyn. Control Syst., 27, 283-291. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

S. Kassa, J. Llibre, A. Makhlouf.
Limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional continuous differential system.
Sao Paulo J. Math. Sci., 8 pp.. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

S. Li, C. Liu, J. Llibre.
The planar discontinuous piecewise linear refracting systems have at most one limit cycle.
Nonlinear Anal. Hybrid Syst., 41, 101045:1-14. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

T. Li, J. Llibre.
Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary.
Phys. D, 419, 132855:1-13. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

T. Li, J. Llibre.
Limit cycles of piecewise polynomial differential systems with the discontinuity line xy=0.
Commun. Pure Appl. Anal., 20(11), 3871-3893. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

T. Li, J. Llibre.
Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems.
Exposition. Math., 39, 540-565. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre.
Central configurations of the circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem.
Trends in Computer Science and Information Technology, 6(1), 1-6. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre.
Integrability and limit cycles via first integrals.
Symmetry (Basel), 13(9), 1-21. 2021. [DOI]
AbstractFull PDFPreprint at DDDUAB

J. Llibre, J. R. Moraes.
Limit cycles of 3-dimensional discontinuous piecewise differential systems formed by linear centers.
Sao Paulo J. Math. Sci., 15(2), 858-874. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB