Exploració per autor "Pacha Andújar, Juan Ramón"
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Teoria d'àlgebra lineal numèrica
Lázaro Ochoa, José Tomás; Ollé Torner, Mercè; Pacha Andújar, Juan Ramón (Universitat Politècnica de Catalunya, 2019-02-28)
Apunts
Accés obert -
Transversality of homoclinic orbits to hyberbolic equilibria in a Hamiltonian system, via the Hamilton-Jacobi equation
Delshams Valdés, Amadeu; Gutiérrez Serrés, Pere; Pacha Andújar, Juan Ramón (2011)
Report de recerca
Accés obertWe consider a Hamiltonian system with 2 degrees of freedom, with a hyperbolic equilibrium point having a loop or homoclinic orbit (or, alternatively, two hyperbolic equilibrium points connected by a heteroclinic orbit), ... -
Transversality of homoclinic orbits to hyperbolic equilibria in a Hamiltonian system, via the Hamilton-Jacobi equation
Delshams Valdés, Amadeu; Gutiérrez Serrés, Pere; Pacha Andújar, Juan Ramón (2012-07)
Report de recerca
Accés obertThe key point of our approach is to write the invariant manifolds in terms of generating functions, which are solutions of the Hamilton-Jacobi equation. In some examples, we show that it is enough to analyse the phase ... -
Transverse intersections between invariant manifolds of doubly hyperbolic invariant tori, via the Poincaré-Mel'nikov method
Delshams Valdés, Amadeu; Gutiérrez Serrés, Pere; Koltsova, Oksana; Pacha Andújar, Juan Ramón (2010-10)
Article
Accés restringit per política de l'editorialWe consider a perturbation of an integrable Hamiltonian system having an equilibrium point of elliptic-hyperbolic type, having a homoclinic orbit. More precisely, we consider an (n + 2)-degree-of-freedom near integrable ... -
Transverse intersections between invariant manifolds of doubly hyperbolic invariant tori, via the Poincaré-Mel'nikov method
Gutiérrez Serrés, Pere; Delshams Valdés, Amadeu; Pacha Andújar, Juan Ramón (2009-12)
Report de recerca
Accés obertWe consider a perturbation of an integrable Hamiltonian system having an equilibrium point of elliptic-hyperbolic type, having a homoclinic orbit. More precisely, we consider an (n+2)-degree-of-freedom near integrable ...