J. J. Jimenez Ruiz, J. Llibre, J. C. Medrado.
On the crossing limit cycles for piecewise linear differential systems separated by a straight line and having symmetric equilibrium points.
Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms, 29, 253-283. 2022.
PreprintAbstract

J. J. Jimenez Ruiz, J. Llibre, C. Valls.
Limit cycles of planar discontinuous piecewise linear hamiltonian systems without equilibria separated by nonregular curves.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 32(12), 2250184. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Li, J. Llibre.
Limit cycles of the discontinuous piecewise differential systems on the cylinder.
J. Appl. Anal. Comp., 12(3), 952-963. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

C. Liu, C. Li, J. Llibre.
The cyclicity of the period annulus of a reversible quadratic system.
Proc. Roy. Soc. Edinburgh Sect. A, 152(2), 281 - 290. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre.
The limit dynamics for the vacuum Einstein equations in a homogeneous universe.
Chaos Solitons Fractals, 162, 112490:1-3. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, Y. P. Martinez Mancilla, C. Vidal.
Algebraic and topological classification of homogeneous quartic vector fields in the plane.
Ann. Mat. Pur. Appl., 201, 37-55. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, M. Mousavi.
Phase portraits of the Higgins-Selkov system.
Discrete Contin. Dyn. Syst. Ser. B, 27(1), 245-256. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, A. Nabavi.
Phase portraits of the Selkov model in the Poincaré disc.
Discrete Contin. Dyn. Syst. Ser. B, 27(12), 7607-7623. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. D. S. Oliveira.
On the limit cycle of a Belousov-Zabotinsky differential systems.
Math. Methods Appl. Sci., 45(2), 579-584. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, V. Pilyugina.
Polynomial homogeneous maps and their periods.
Journal of Nonlinear Modeling and Analysis, 4(4), 752-762. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, T. Salhi.
On the limit cycles of the piecewise differential systems formed by a linear focus or center and quadratic weak focus or center.
Chaos Solitons Fractals, 160, 112256. 2022. [DOI]
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J. Llibre, M. A. Teixeira.
Limit cycles in Filippov systems having a circle as switching manifold.
Chaos, 32, 053106. 2022.
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J. Llibre, Y. Tian.
Meromorphic integrability of the Hamiltonian systems with homogeneous potentials of degree -4.
Discrete Contin. Dyn. Syst. Ser. B, 27(8), 4305-4316. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Phase portraits of uniform isochronous centers with homogeneous nonlinearities.
J. Dyn. Control Syst., 28, 319-332. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Global dynamics for the Szekeres system with non-zero cosmological constant.
Phys. Dark. Universe, 35, 100954:1-4. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Twin polynomial vector fields of arbitrary degree.
Bull. Braz. Math. Soc. (N.S.), 53, 295-306. 2022. [DOI]
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J. Llibre, C. Valls.
Crossing limit cycles for discontinuous piecewise differential systems formed by linear Hamiltonian saddles or linear centers separated by a conic.
Chaos Solitons Fractals, 159, 112076:1-8. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Phase portraits of the Leslie-Grower system.
Acta Math. Sin. (Engl. Ser.), 42B(5), 1734-1742. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Global centers of the generalized polynomial Liénard differential systems.
J. Differential Equations, 330, 66-80. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Limit cycles of piecewise differential systems with linear Hamiltonian saddles and linear centres.
Dyn. Syst., 37(2), 262-279. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB