2283 publications found

J. Llibre, C. A. Buzzi, P. R. Silva.
3-dimensional Hopf bifurcation via averaging theory.
Discrete Contin. Dyn. Syst., 17(3), 529-540. 2007.
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J. Llibre, P. R. Silva.
Singularly perturbed quadratic polynomial differential systems on the plane.
Rev. Mat. Estatíst., 25, 137-150. 2007.
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J. Llibre, P. R. Silva, M. A. Teixeira.
Regularization of discontinuous vector fields on $\mathbb R^n$ via singular perturbation.
J. Dyn. Diff. Equat., 19(2), 309-331. 2007.
Abstract

J. Llibre, A. Mahdi.
On the number of singular points of the radial projection of polynomial gradient vector fields of $\mathbb R^3$ on the sphere $\mathbb S^2$.
Comm. Appl. Nonlinear Anal., 14(4), 77-84. 2007.
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J. Llibre, J. C. Medrado.
On the invariant hyperplanes for d-dimensional polynomial vector fields.
J. Phys. A, 40, 8385-8391. 2007.
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J. Llibre, M. Messias.
Large amplitude oscillations for a class of symmetric polynomial differential systems in $\mathbb R^3$.
An. Acad. Brasil. Ci., 79(4), 1-13. 2007.
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J. Llibre, M. Messias.
Periodic and asymptotic orbits for reversible systems in $\mathbb R^3$ without singular points.
2007.
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J. Llibre, D. Pasca.
Periodic orbits near a heteroclinic loop formed by one dimensional orbit and a 2-dimensional manifold: application to the charged collinear 3-body problem.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 17(6), 2175-2183. 2007.
Abstract

J. Llibre, D. Pasca.
Erratum to: Periodic orbits of the planar collision restricted 3-body problem [ Celestial Mech. Dynam. Astronom. 96(1) (2006), 19-29 ].
Celestial Mech. Dynam. Astronom., 98(3), 217. 2007.
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J. Llibre, E. Ponce, A. E. Teruel.
Horseshoes near homoclinic orbits for piecewise linear differential systems in $\mathbb R^3$.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 17(4), 1171-1184. 2007.
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J. Llibre, G. Swirszcz.
Classification of quadratic systems admitting the existence of an algebraic limit cycle.
Bull. Sci. Math., 131(5), 405-421. 2007.
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J. Llibre, A. Tarta.
Periodic solutions for some systems of delay differential equations.
J. Dyn. Diff. Equat., 19(1), 199-213. 2007.
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J. Llibre, M. A. Teixeira.
Global asymptotic stability for a class of discontinuous vector fields in $\mathbb R^2$.
Dyn. Syst., 22(2), 133-146. 2007.
Abstract

J. Llibre, M. A. Teixeira, J. Torregrosa.
Limit cycles bifurcating from a k-dimensional isochronous center contained in $\mathbb R^n$ with $k\leq n$.
Math. Phys. Anal. Geom., 10, 237-249. 2007. [DOI]
PreprintAbstract

J. Llibre, C. Valls.
Global analytic first integrals for the real planar Lotka-Volterra system.
J. Math. Phys., 48(3), 033507, 13. 2007.
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J. Llibre, C. Valls.
On the integrability of the Einstein-Yang-Mills equations.
J. Math. Anal. Appl., 336(2), 1203-1230. 2007.
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J. Llibre, C. Valls.
Formal and analytical integrability of the Rossler system.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 17(9), 3289-3293. 2007.
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J. Llibre, J. Yu.
Limit cycles for a class of three dimensional polynomial differential systems.
J. Dyn. Control Syst., 13(4), 531-539. 2007.
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J. Llibre, J. Yu.
On the upper bound of the number of limit cycles obtained by the second order averaging method.
Discrete Contin. Dyn. Syst. Ser. B, 6, 841-873. 2007.
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J. Llibre, Y. Zhao.
Algebraic limit cycles in polynomial systems of differential equations.
J. Phys. A, 40, 14207-14222. 2007.
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