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En esta tesis se obtienen diversos resultados sobre integrales primeras y conjuntos invariantes de campos de vectores, generalmente analíticos, en Rn. Las propiedades que se estudian son, básicamente, la estabilidad de puntos críticos y de soluc[...]texto impreso
Díaz-Cano Ocaña, Antonio ; Gonzalez Gascón, F. ; Peralta Salas, Daniel | American Institute of Physics | 2006Dynamical systems on R-n presenting geometric chaos, i.e., open domains where bounded and unbounded orbits are intermingled, have been constructed. The opposite situation (open scattering) has been studied for integrable Hamiltonian and non-Hami[...]texto impreso
Gascón, Francisco G. ; Peralta Salas, Daniel ; Ruiz Sancho, Jesús María | American Institute of Physics | 2000-05It is shown that when a dynamical system X0 with a proper set of global first integrals is perturbed, the phase space region accessible to the orbits of the perturbed vector field X0+Xp is bounded (we are assuming here that the time variable run[...]texto impreso
Submersions f such that f(-1)(0) contains a given fiber F, and that are invariant under a family of vector fields s leaving F invariant, are constructed. Examples for which a submersion of this kind cannot exist are also given. In the absence of[...]
