2283 publications found

J. Llibre, C. Valls.
On the limit cycles of polynomial differential systems with homogeneous nonlinearities of degree 3 via the averaging method.
Dyn. Contin. Discrete Impuls. Syst. Ser A: Math Anal., 17(4), 453-473. 2010.
Abstract

J. Llibre, C. Valls.
On the local analytic integrability at the singular point of a class of Liénard analytic differential systems.
Proc. Amer. Math. Soc., 138(1), 253-261. 2010.
Abstract

J. Llibre, C. Valls.
Analytical integrability of the Rikitake system.
Z. Angew. Math. Phys., 61(4), . 2010. [DOI]
Abstract

J. Llibre, C. Valls.
Liouvillian first integrals for Liénard polynomial differential systems.
Proc. Amer. Math. Soc., 138(9), 3229-3239. 2010.
Abstract

J. Llibre, C. Valls.
Nonintegrability of a class of Bianchi's VI$_0$ and VII$_0$ models.
J. Geom. Phys., 60(5), 815-822. 2010.
Abstract

J. Llibre, C. Valls.
The Michelson system is neither global analytic, nor Darboux integrable.
Phys. D, 239, 414-419. 2010.
Abstract

J. Llibre, C. Valls.
The Bianchi VIII model is neither global analytic nor Darboux integrable.
J. Math. Phys., 51, 092702. 2010.
AbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Liouvillian integrability of the Fitzhugh-Nagumo systems.
J. Geom. Phys., 60(12), 1974–1983. 2010. [DOI]
Abstract

J. Llibre, J. Yu, X. Zhang.
Limit cycles for a class of third-order differential equations.
Rocky Mountain J. Math., 40(2), 581-594. 2010.
PreprintAbstractPreprint at DDDUAB

J. Llibre, X. Zhang.
Rational first integrals in the Darboux theory of integrability in $\mathbb C^n$.
Bull. Sci. Math., 134(2), 189-195. 2010.
PreprintAbstractPreprint at DDDUAB

A. Murza, A. E. Teruel.
Global dynamics of a family of 3D Lotka-Volterra systems.
Dyn. Syst., 25(2), 269-284. 2010.
Abstract

S. Serna, J. Qian.
A stopping criterion for higher-order sweeping schemes for static Hamilton-Jacobi equations.
J. Comput. Mat. H, 28(4), 552-568. 2010. [DOI]
Abstract

J. Villadelprat.
On the period function in a class of generalized Lotka-Volterra systems.
Appl. Math. Comput., 216, 1956–1964. 2010.
PreprintAbstractPreprint at DDDUAB

Ll. Alsedà, S. Costa.
On the definition of strange nonchaotic attractor.
Fund. Math., 206, 23-39. 2009.
Abstract

M. J. Álvarez, J. L. Bravo, M. Fernández.
Uniqueness of limit cycles for polynomial first-order differential equations.
J. Math. Anal. Appl., 360(1), 168-189. 2009.
Abstract

M. J. Álvarez, A. Gasull, R. Prohens.
Configurations of critical points in complex polynomial differential equations.
Nonlinear Anal., 71, 923-934. 2009.
PreprintAbstract

J. C. Artés, F. Dumortier, J. Llibre.
Limit cycles near hyperbolas in quadratic systems.
J. Differential Equations, 246, 235-260. 2009.
Abstract

J. C. Artés, J. Llibre, N. Vulpe.
Quadratic systems with a polynomial first integral: a complete classification in the coefficient space $\mathbb R^{12}$.
J. Differential Equations, 246, 3535-3558. 2009.
Abstract

E. Barrabés, J. M. Mondelo, M. Ollé.
Dynamical aspects of multi-round horseshoe-shaped homoclinic orbits in the RTBP.
Celestial Mech. Dynam. Astronom., 105(1-3), 197-210. 2009. [DOI]
Abstract

E. Barrabés, J. M. Mondelo, M. Ollé.
Numerical continuation of families of homoclinic connections of periodic orbits in the RTBP.
Nonlinearity, 22(12), 2901-2918. 2009. [DOI]
Abstract