J. Llibre, R. D. S. Oliveira.
Quadratic systems with invariant straight lines of total multiplicity two having Darboux invariants.
Commun. Contemp. Math., 17(3), 1450018. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. D. S. Oliveira, C. Valls.
On the integrability and the zero-Hopf bifurcation of a Chen-Wang differential system.
Nonlinear Dynam., 80, 353-361. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Pessoa.
The Hopf bifurcation in the Shimizu-Morioka system.
Nonlinear Dynam., 79, 2197-2205. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, E. Ponce, C. Valls.
Uniqueness and non-uniqueness of limit cycles for piecewise linear differential systems with three zones and no symmetry.
J. Nonlinear Sci., 25(4), 861-887. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. Rabanal.
Center conditions for a class of planar rigid polynomial differential systems.
Discrete Contin. Dyn. Syst., 35(3), 1075-1090. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, A. Rodrigues.
A non-autonomous kind of Duffing equation.
Appl. Math. Comput., 251, 669-674. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, A. Rodrigues.
Periodic orbits for real planar polynomial vectors fields of degree n having n invariant straight lines taking into account their multiplicities.
Electron. J. Qual. Theory Differ. Equ., 55, 1-15. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, A. Rodrigues.
On the dynamics of a system that bridges the gap between Lorenz and Chen systems.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 25(9), 1550122 (9 pages). 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, V. G. Romanovskii.
Isochronicity and linearizability of planar polynomial Hamiltonian systems.
J. Differential Equations, 259, 1649-1662. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, D. Schlomiuk.
On the limit cycles bifurcating from an ellipse of a quadratic center.
Discrete Contin. Dyn. Syst., 35(3), 1091-1102. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, V. F. Sirvent.
$C^1$ self-maps on closed manifolds with all their periodic points hyperbolic.
Houston J. Math., 41(4), 1119-1127. 2015.
PreprintAbstractPreprint at DDDUAB

J. Llibre, M. Spinetti-Rivera, E. Colina-Morles.
Dynamic systems behaviour analysis and design based on the qualitative theory of differential equations: the Boost power converter case.
Int. J. Control, 88(6), 1103-1111. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, M. A. Teixeira.
Limit cycles for m-piecewise discontinuous polynomial Liénard differential equations.
Z. Angew. Math. Phys., 66(1), 51-66. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
First integrals of Darboux type for a family of 3-dimensional Lotka-Volterra systems.
Bull. Sci. Math., 139, 473-494. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
On the Darboux integrability of the Painlevé II equations.
J. Nonlinear Math. Phys., 22(1), 60-75. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Liouvillian first integrals for generalized Riccati polynomial differential systems.
Adv. Nonlinear Stud., 15, 951-961. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
The generalized Liénard polynomial differential systems $x'=y,y'= -g(x) - f (x)y$ with deg $g$ = deg $f$ + 1 are not Liouvillian integrable.
Bull. Sci. Math., 139, 214-227. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Hopf bifurcation of a generalized Moon-Rand system.
Commun. Nonlinear Sci. Numer. Simul., 20, 1070-1077. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
On the integrability of a three-dimensional cored galactic Hamiltonian.
Appl. Math. Lett., 41, 23-27. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Analytic integrability of a class of planar polynomial differential systems.
Discrete Contin. Dyn. Syst. Ser. B, 20(8), 2657-2661. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB