2283 publications found

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

J. Llibre, C. Vidal.
Hopf periodic orbits for a ratio-dependent predator-prey model with stage structure.
Discrete Contin. Dyn. Syst. Ser. B, 21(6), 1859-1867. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, X. Zhang.
Limit cycles of linear vectors on manifolds.
Nonlinearity, 29, 3120-3131. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

F. Mañosas, D. Rojas, J. Villadelprat.
The criticality of centers of potential systems at the outer boundary.
J. Differential Equations, 260, 4918-4972. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

P. Mardesic, D. Marín, M. Saavedra, J. Villadelprat.
Unfoldings of saddle-nodes and their Dulac time.
J. Differential Equations, 261, 6411-6436. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

L. Morales.
Combinatorial dynamics of strip patterns of quasiperiodic skew products in the cylinder.
PhD thesis, Universitat Autònoma de Barcelona, Bellaterra, 2016.
AbstractPreprint at DDDUAB

R. D. S. Oliveira, A. C. Rezende, N. Vulpe.
Family of quadratic differential systems with invariant hyperbolas: a complete classification in the space $R^{12}$.
Electron. J. Differential Equations, 2016(162), 1-50. 2016.
PreprintAbstractPreprint at DDDUAB

O. Osuna, S. Rebollo-Perdomo, G. Villaseñor.
On a class of invariant algebraic curves for Kukles systems.
Electron. J. Qual. Theory Differ. Equ., 2016(61), 1-12. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

S. Pérez-González, J. Torregrosa, P. J. Torres.
Existence and uniqueness of limit cycles for generalized $\varphi$-Laplacian Liénard equations.
J. Math. Anal. Appl., 439, 745-765. 2016. [DOI]
PreprintAbstractPreprint at DDDUAB

L. A. Roberto, P. R. Silva, J. Torregrosa.
Asymptotic expansion of the heteroclinic bifurcation for the planar normal form of the 1:2 resonance.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 26(1), 1650017 (8 pages). 2016. [DOI]
PreprintAbstractPreprint at DDDUAB