F. S. Dias, J. Llibre, C. Valls.
Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers.
Math. Comput. Simulation, 144, 60-77. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

E. Diz Pita.
Dynamics of a class of Lotka-Volterra systems in dimension 3.
Masters thesis, Universidade de Santiago de Compostela, Santiago de Compostela, July, 2018. (In Spanish)
Abstract

A. C. Fernandes, B. A. Garcia, J. Llibre, L. F. Mello.
New central configurations of the (n+1)-body problem.
J. Geom. Phys., 124, 199-207. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Ferragut, J. Llibre.
Invariant curves and integrability of planar $C^r$ differential systems.
Rocky Mountain J. Math., 48(5), 1537-1550. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Ferragut, C. Valls.
On the complete integrability of the Raychaudhuri differential system in $R^4$ and of a CRNT model in $R^5$.
Qual. Theory Dyn. Syst., 17, 291-307. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Ferragut, C. Valls, C. Wiuf.
On the Liouville integrability of Edelstein's reaction system in $ R^3$.
Chaos Solitons Fractals, 108, 129-135. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

I. A. García, J. Llibre, S. Maza.
On the multiple zeros of a real analytic function with applications to the averaging theory of differential equations.
Nonlinearity, 31, 2666-2688. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Gasull.
Integració de funcions racionals i $\pi$.
Mat. Mat., 2018(2), 28 pages. 2018.
PreprintAbstractFull PDFPreprint at DDDUAB

A. Gasull, H. Giacomini, M. Grau.
Localizing limit cycles: from numeric to analytical results.
In Extended Abstracts Summer 2016, Slow-Fast Systems and Hysteresis: Theory and Applications, 7-11. Springer Nature Switzerland, 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Gasull, M. Llorens, V. Mañosa.
Periodic points of a Landen transformation.
Commun. Nonlinear Sci. Numer. Simul., 64, 232-245. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

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