L. F. d. S. Gouveia, J. Torregrosa.
The local cyclicity problem. Melnikov method using Lyapunov constants.
Proc. Edinb. Math. Soc. (2), 65, 356-375. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

Z. Guo, J. Llibre.
Non-equivalence between the Melnikov and the averaging methods for nonsmooth differential systems.
Qual. Theory Dyn. Syst., 21, 114:1-13. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

Z. Guo, J. Llibre.
Limit cycles of a class of discontinuous piecewise differential systems separated by the curve $y=x^n$ via averaging theory.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 32(12), 2250187. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

H. He, J. Llibre, D. Xiao.
Hamiltonian polynomial differential systems with global centers in $R^2$.
Scientia Sinica Mathematica, 52(6), 617-628. 2022. [DOI]
PreprintAbstract

R. Huzak, D. Rojas.
Abelian integrals and non-generic turning points.
Qual. Theory Dyn. Syst., 21(77), 1-18. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Itikawa, R. D. S. Oliveira, J. Torregrosa.
First-order perturbation for multi-parameter center families.
J. Differential Equations, 309, 291-310. 2022. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

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.
PreprintAbstractPreprint at DDDUAB

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]
PreprintAbstractPreprint at DDDUAB

J. Llibre, M. A. Teixeira.
Limit cycles in Filippov systems having a circle as switching manifold.
Chaos, 32, 053106. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

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