Exploració per autor "Pacha Andújar, Juan Ramón"
Ara es mostren els items 21-33 de 33
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Motion near the transition to complex instability: some examples
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón (1997)
Article
Accés obertComplex instability is a generic kind of instability in Hamiltonian systems with three degrees of freedom. In this work, some examples of such instability are shown, together with a numerical analysis of the dynamics ... -
On the Hamiltonian Andronov-Hopf bifurcation
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (2001)
Article
Accés obert -
On the quantitative estimates of the remainder in normal forms
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (2002)
Article
Accés obertWe consider an analytic Hamiltonian system with three degrees of freedom and having a family of periodic orbits with a transition stability complex instability. We reduce the Hamiltonian to a normal form around a transition ... -
On the quasi-periodic hamiltonian Andronov-Hopf bifurcation
Pacha Andújar, Juan Ramón (2002)
Article
Accés obert -
On the quasiperiodic hamiltonian andronov-hopf bifurcation
Pacha Andújar, Juan Ramón (Universitat Politècnica de Catalunya, 2002-10-21)
Tesi
Accés obertAquest treball es situa dintre del marc dels sistemes dinàmics hamiltonians de tres graus de llibertat. Allà considerem famílies d'òrbites periòdiques amb una transició estable-complex inestable: sigui L el paràmetre que ... -
Planar bimodal piecewise linear systems. Bifurcation diagrams
Ferrer Llop, Josep; Magret Planas, Maria dels Dolors; Pacha Andújar, Juan Ramón; Peña Carrera, Marta (2010)
Article
Accés obert -
Quantitative estimates on the normal form around a non semi-simple 1:-1 resonant periodic orbit
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (2003)
Article
Accés obertThe purpose of thiswork is to give precise estimates for the size of the remainder of the normalized Hamiltonian around a non-semi-simple 1 : −1 resonant periodic orbit, as a function of the distance to the orbit. We ... -
Safe trajectory of a piece moved by a robot
Babb, Thomas; Benedito Benet, Ernest; Bond, Oliver; Kumar, Sandeep; Pacha Andújar, Juan Ramón; Solà-Morales Rubió, Joan de (Springer, 2023-07-12)
Capítol de llibre
Accés obertIn this work, we propose a mathematical model for a physical problem based on the movement of a metal piece held by a robot. Using the principles of Kirchoff plate theory, a set of equations determining stresses and ... -
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 ...