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]

J. C. Artés, J. Llibre, D. Schlomiuk, N. Vulpe.
Global topological configurations of singularities for the whole family of quadratic differential systems.
Qual. Theory Dyn. Syst., 19, 51:1-32, 2020.
 [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.
Final evolutions 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]

M. R. Cândido, J. Llibre, C. Valls.   NEW 2020-03-24
Non-existence, existence, and uniqueness of limit cycles for a generalization of the Van der Pol-Duffing and the Rayleigh-Duffing oscilators.
Phys. D, 407, 132458:1-4, 2020. [DOI]
 [Preprint] [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]
 [Preprint] [Abstract]

A. Cima, A. Gasull, F. Mañosas.
A note on the Lyapunov and Period constants.
Qual. Theory Dyn. Syst., 19, 44:1-13, 2020. [DOI]
 [Preprint] [Abstract]

M. Corbera, C. Valls.   NEW 2020-03-03
Global phase portraits of Z2-Symmetric planar polynomial Hamiltonian systems of degree three with a nilpotent saddle at the origin.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 30(1), 2050006:1-30, 2020. [DOI]
 [Preprint] [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]

L. P. C. Cruz, J. Torregrosa.
A Bendixson-Dulac theorem for some piecewise systems.
Nonlinearity, 33, 2455-2480, 2020. [DOI]
 [Preprint] [Abstract]

A. Ferragut, J. Llibre.
On the polynomial solutions of the polynomial differential equations $yy'=a_0(x)+a_1(x)y+a_2(x)y^2+..+a_n(x)y^n$.
Indian J. Pure Appl. Math., 51, 217-232, 2020. [DOI]
 [Preprint] [Abstract]

F. Gao, J. Llibre.
Global dynamics of the Horava-Lifshitz cosmology with non-zero curvature and a wide range of potentials.
Eur. Phys. J. C Part. Fields, 80, 137:1-13, 2020. [DOI]
 [Preprint] [Abstract]

J. D. García Saldaña, J. Llibre, C. Valls.
Nilpotent global centers of linear systems with cubic homogeneous nonlinearities.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 30(1), 2050010:1-12, 2020.
 [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] [Abstract]

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.
24 crossing limit cycles in only one nest for piecewise cubic systems.
Appl. Math. Lett., 103, 106189, 2020. [DOI]
 [Preprint] [Direct Shared Link] [Abstract]

M. R. A. Gouveia, J. Llibre, L. A. Roberto.   NEW 2020-03-05
Phase portraits of the quadratic polynomial Liénard differential systems.
Proc. Roy. Soc. Edinburgh Sect. A, 1-15, 2020. [DOI]
 [Preprint] [Abstract]

J. L. G. Guirao, J. Llibre, W. Gao.
Topological entropy of continuous self-maps on closed surfaces.
J. Difference Equ. Appl., 26(2), 203-208, 2020. [DOI]
 [Preprint] [Abstract]

F. Ikhouane, V. Mañosa, G. Pujol.
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, L. d. A. S. Menezes.
On the limit cycles of a class of discontinuous piecewise linear differential systems.
Discrete Contin. Dyn. Syst. Ser. B, 25(5), 1835-1858, 2020. [DOI]
 [Preprint] [Abstract]

J. Llibre, A. Murza, C. Valls.
On a conjecture on the integrability of Liénard systems.
Rend. Circ. Mat. Palermo (2), 69, 209-216, 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, D. D. Novaes, I. O. Zeli.   NEW 2019-12-20
Limit cycles of piecewise polynomial perturbations of higher dimensional lineal differential systems.
Rev. Mat. Iberoam., 36(1), 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, R. O. Ramírez, N. Sadovskaia.
Differential equations with a given set of solutions.
Appl. Math. Comput., 365, 124659:1-20, 2020.
 [Preprint] [Abstract]

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

J. Llibre, C. Valls.
Centers of planar generalized Abel equations.
J. Differential Equations, 268, 6481-6487, 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]
 [Preprint] [Abstract]

A. Vajdi, D. Juher, J. Saldaña, C. Scoglio.   NEW 2020-03-05
A multilayer temporal network model for STD spreading accounting for permanent and casual partners.
Sci. Rep., 10, 3846:1-12, 2020.
 [Abstract] [Full PDF]