J. Giné, J. Llibre.
On the mechanisms for producing linear type centers in polynomial differential systems.
Mosc. Math. J., 18(3), 409-420. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Giné, J. Llibre, C. Valls.
The cubic polynomial differential systems with two circles as algebraic limit cycles.
Adv. Nonlinear Stud., 18(1), 183-193. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Giné, J. Llibre, C. Valls.
Simultaneity of centers in $Z_q$-equivariant systems.
Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 474, 20170811. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

M. Han, J. Llibre, J. Yang.
On uniqueness of limit cycles in general Bogdanov-Takens bifurcation.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 28(9), 1850115 (12 pages). 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

H. He, J. Llibre, D. Xiao.
Hamiltonian with global centers (in chinese).
Scientia Sinica Mathematica, 48, 1-12. 2018. [DOI]
PreprintAbstract

J. Huang, H. Liang, J. Llibre.
Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities.
J. Differential Equations, 265, 3888-3913. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

D. Juher, J. Saldaña.
Tuning the overlap and the cross-layer correlations in two-layer networks: application to an SIR model with awareness dissemination.
Phys. Rev. E, 97, 032303. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, B. D. Lopes, J. R. Moraes.
Limit cycles bifurcating from the periodic orbits of the weight-homogeneous polynomial centers of weight-degree 3.
Electron. J. Differential Equations, 2018(118), 1-14. 2018.
PreprintAbstractPreprint at DDDUAB

J. Llibre, A. Makhlouf.
Periodic solutions for periodic second-order differential equations with variable potentials.
J. Appl. Anal., 24(2), 127-137. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, Y. P. Martinez-Mancilla, C. Vidal.
Linear type centers of polynomial Hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the y-axis.
Discrete Contin. Dyn. Syst. Ser. B, 23(2), 887-912. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. M. Martins, D. J. Tonon.
Limit cycles of piecewise smooth differential equations on two dimensional torus.
J. Dyn. Diff. Equat., 30, 1011-1027. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, M. Messias, A. C. Reinol.
Quadratic three-dimensional differential systems having invariant planes with total multiplicity nine.
Rend. Circ. Mat. Palermo (2), 67, 569-580. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, A. Murza.
Darboux theory of integrability for real polynomial vector fields on $S^n$.
Dyn. Syst., 33(4), 646-659. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, D. E. Nuñez, A. Rivera.
Periodic solutions of the Nathanson's and the comb-drive finger models.
Internat. J. Non-Linear Mech., 104, 109-115. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. D. S. Oliveira.
Quadratic systems with an invariant conic having Darboux invariants.
Commun. Contemp. Math., 20(4), 1750033 (15 pages). 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. D. S. Oliveira, C. A. B. Rodrigues.
On the periodic solutions of the Milchelson continuous and discontinuous piecewise linear differential system.
Comput. Appl. Math., 37(2), 1550-1561. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. D. S. Oliveira, C. Valls.
Phase portraits for some symmetric cubic Riccati polynomial differential equations.
Topology Appl., 234, 220-237. 2018. [DOI]
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J. Llibre, R. O. Ramírez, V. Ramírez.
Center problem for generalized $\lambda$-$\Omega$ differential systems.
Electron. J. Differential Equations, 2018(184), 1-23. 2018.
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. O. Ramírez, V. Ramírez, N. Sadovskaia.
Centers and uniform isochronous centers of planar polynomial differential systems.
J. Dyn. Diff. Equat., . 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, M. F. d. Silva.
Phase portraits of integrable quadratic systems with an invariant parabola and an invariant straight line.
C. R. Acad. Sci. Paris Ser. I Math., . 2018. [DOI]
PreprintAbstractPreprint at DDDUAB