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

J. Llibre, B. D. Lopes, P. R. Silva.
Bifurcations of the Riccati quadratic polynomial differential system.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 31(6), 2150094:1-13. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, L. d. A. S. Menezes.
The Markus–Yamabe conjecture does not hold for piecewise discontinuous linear differential systems separated by one straight line.
J. Dyn. Diff. Equat., 33, 659-676. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, M. Messias, A. C. Reinol.
Global dynamics and bifurcation of periodic orbits in a modified Nosé-Hoover oscillator.
J. Dyn. Control Syst., 27, 491-506. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB