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

J. Llibre, C. Valls.
Analytic integrability of Hamiltonian systems with exceptional potentials.
Phys. Lett. A, 379, 2295-2299. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
The co-circular central configurations of the 5 body problem.
J. Dyn. Diff. Equat., 27, 55-67. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls, X. Zhang.
The completely integrable differential systems are essentially linear differential systems.
J. Nonlinear Sci., 25(4), 815-826. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Vidal.
Periodic solutions of a periodic FitzHugh-Nagumo differential system.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 25(13), 1550180 (6 pages). 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, J. Yu.
Global phase portraits of quadratic systems with an ellipse and a straight line as invariant algebraic curves.
Electron. J. Differential Equations, 314, 1-14. 2015.
PreprintAbstractPreprint at DDDUAB

J. Llibre, J. Yu, X. Zhang.
On polynomial integrability of the Euler equations on ${\rm\bf\mathfrak so}$(4).
J. Geom. Phys., 96, 36-41. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, X. Zhang.
On the limit cycles of linear differential systems with homogeneous nonlinearities.
Canad. Math. Bull., 58(4), 818-823. 2015. [DOI]
PreprintAbstractPreprint at DDDUAB