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]
 [Abstract]

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]
 [Preprint]

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.
 [Abstract]

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]