Publications 2020:
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A. Algaba, C. García, J. Giné, J. Llibre.
Orbitally universal centers.
Nonlinear Anal., 195, 111746:1-10, 2020. [DOI]
 [Preprint] [Abstract]

L. Barreira, J. Llibre, C. Valls.
Bounded polynomial vector fields in R^2 and R^n.
J. Differential Equations, 268, 4416-4422, 2020. [DOI]
 [Preprint] [Abstract]

R. Benterki, J. Llibre.
The centers and their cyclicity for a class of polynomial differential systems of degree 7.
J. Comput. Appl. Math., 368(112456), 1-16, 2020. [DOI]
 [Preprint] [Abstract]

C. A. Buzzi, J. Llibre, R. A. T. Santos.
Global dynamics of a class of May-Leonard Lotka-Volterra systems.
J. Nonlinear Math. Phys., 27(2), 267-278, 2020. [DOI]
 [Preprint] [Abstract]

C. A. Buzzi, J. C. Medrado, J. Torregrosa.
Limit cycles in 4-star-symmetric planar piecewise linear systems.
J. Differential Equations, 268(5), 2414-2434, 2020. [DOI]
 [Preprint] [Direct Shared Link] [Abstract]

J. L. Cardoso, J. Llibre, D. D. Novaes, D. J. Tonon.   NEW 2020-02-11
Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields.
Dyn. Syst., 1-25, 2020. [DOI]

L. P. C. Cruz, V. G. Romanovskii, J. Torregrosa.
The center and cyclicity problems for quadratic linear-like reversible systems.
Nonlinear Anal., 190, 111593: 1-19, 2020. [DOI]
 [Preprint] [Abstract]

A. Gasull, V. Mañosa.
Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem.
Discrete Contin. Dyn. Syst. Ser. B, 25(2), 651-670, 2020. [DOI]

A. Gasull, J. Torregrosa, X. Zhang.
Piecewise linear differential systems with an algebraic line of separation.
Electron. J. Differential Equations, 2020(19), 1-14, 2020.
 [Preprint] [Abstract] [Full PDF]

J. Giné, J. Llibre.
Strongly formal weierstrass non-integrability for polynomial differential systems in $C^2$.
Electron. J. Qual. Theo., 2020(1), 1-16, 2020. [DOI]
 [Preprint] [Abstract]

L. F. d. S. Gouveia.   NEW 2020-01-14
Limit cycles of small amplitude in polynomial and piecewise polynomial planar vector fields.
PhD thesis, Universitat Autònoma de Barcelona, Bellaterra, January, 2020.

L. F. d. S. Gouveia, J. Torregrosa.   NEW 2019-11-11
24 crossing limit cycles in only one nest for piecewise cubic systems.
Appl. Math. Lett., 103, 106189, 2020. [DOI]
 [Preprint] [Direct Shared Link] [Abstract]

F. Ikhouane, V. Mañosa, G. Pujol.   NEW 2019-11-11
Minor loops of the Dahl and LuGre models.
Appl. Math. Model., 77, 1679-1690, 2020. [DOI]
 [Preprint] [Abstract]

J. Llibre, A. Makhlouf.
On the periodic solutions of the relativistic driven harmonic oscillator.
J. Math. Phys., 61, 012501:1-6, 2020. [DOI]
 [Preprint] [Abstract]

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., 2020. [DOI]
 [Preprint] [Abstract]

J. Llibre, D. D. Novaes, C. A. B. Rodrigues.
Bifurcations from families of periodic solutions in piecewise differential systems.
Phys. D, 404, 132342:1-12, 2020. [DOI]
 [Preprint] [Abstract]

J. Llibre, R. D. S. Oliveira, C. A. B. Rodrigues.
Limit cycles for two classes of control piecewise linear differential systems.
Sao Paulo J. Math. Sci., 1-17, 2020. [DOI]
 [Preprint] [Abstract]

J. Llibre, C. Valls.
Global qualitative dynamics of the brusselator system.
Math. Comput. Simulation, 170, 107-114, 2020. [DOI]
 [Preprint] [Abstract]

D. Rojas.
Resonance of bounded isochronous oscillators.
Nonlinear Anal., 192, 111680:1-10, 2020. [DOI]
 [Preprint] [Abstract]

D. Rojas, P. J. Torres.
Bifurcation of relative equilibria generated by a circular vortex path in a circular domain.
Discrete Contin. Dyn. Syst. Ser. B, 25(2), 749-760, 2020. [DOI]