H. Liang, J. Torregrosa.
Centers of projective vector fields of spatial quasi-homogeneous systems with weight (m,m,n) and degree 2 on the sphere.
Electron. J. Qual. Theory Differ. Equ., 103, 1-26. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre.
Centers: their integrability and relations with the divergence.
Appl. Math. Non. Sciences, 1(1), 79-86. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre.
A counterexample to a result on Lotka-Volterra systems.
Acta Appl. Math., 142, 123-125. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. E. L. Silva, P. R. Silva.
Piecewise bounded quadratic systems in the plane.
Differ. Equ. Dyn. Syst., 24(1), 51-62. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, B. D. Lopes, J. R. Moraes.
Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2.
Appl. Math. Comput., 274, 47-54. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, A. Makhlouf.
Zero-Hopf bifurcation in the generalized Michelson system.
Chaos Solitons Fractals, 89, 228-231. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, M. Messias, A. C. Reinol.
Normal forms and global phase portraits of quadratic and cubic integrable vector fields having two nonconcentric circles as invariant algebraic curves.
Dyn. Syst., 1-17. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Pantazi.
Limit cycles bifurcating from a degenerate center.
Math. Comput. Simulation, 120, 1-11. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. O. Ramírez.
Inverse problems in ordinary differential equations and applications.
Birkhäuser, Springer, 2016.
Link at publisherAbstract

J. Llibre, R. O. Ramírez, V. Ramírez, N. Sadovskaia.
The 16th Hilbert problem restricted to circular algebraic limit cycles.
J. Differential Equations, 260, 5726-5760. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, M. F. d. Silva.
Global phase portraits of Kukles differential systems with homogenous polynomial nonlinearities of degree 5 having a center and their small limit cycles.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 26(3), 1650044 (25 pages). 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, M. F. d. Silva.
Global phase portraits of kukles differential systems with homogenous polynomial nonlinearities of degree 5 having a center.
Topol. Methods Nonlinear Anal., 48(1), 257-282. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, V. F. Sirvent.
$C^1$ self-maps on closed manifolds with finitely many periodic points all of them hyperbolic.
Math. Bohem., 141(1), 83-90. 2016. [DOI]
AbstractFull PDFPreprint at DDDUAB

J. Llibre, M. A. Teixeira, I. O. Zeli.
Birth of limit cycles for a classe of continuous and discontinuous differential systems in (d + 2)-dimension.
Dyn. Syst., 31(3), 237-250. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
On the polynomial integrability of a system motivated by the Riemann ellipsoid problem.
ESAIM Control Optim. Calc. Var., 22, 872-882. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Polynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree 4.
Rocky Mountain J. Math., 46(5), 1619-1642. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
On the analytic integrability of the Liénard analytic differential systems.
Discrete Contin. Dyn. Syst. Ser. B, 21(2), 557-573. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Liouvillian first integrals for a class of generalized Liénard polynomial differential systems.
Proc. Roy. Soc. Edinburgh Sect. A, 146, 1195-1210. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Darboux integrability of generalized Yang-Mills Hamiltonian system.
J. Nonlinear Math. Phys., 23(2), 234-242. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls, X. Zhang.
Liouvillian integrability versus Darboux polynomials.
Qual. Theory Dyn. Syst., 15, 503-515. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB