Exploració per autor "Pacha Andújar, Juan Ramón"
Ara es mostren els items 15-33 de 33
-
Hopf bifurcation for the hydrogen atom in a circularly polarized microwave field
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón (2018-09-01)
Article
Accés obertWe consider the Rydberg electron in a circularly polarized microwave field, whose dynamics is described by a Hamiltonian depending on one parameter, K¿>¿0. The corresponding Hamiltonian system of ODE has two equilibrium ... -
How does the hopf bifurcation appear in the hydrogen atom in a Circularly Polarized (CP) microwave field?
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón (Birkhäuser, 2019)
Capítol de llibre
Accés restringit per política de l'editorialThe dynamics of the Rydberg atom in a rotating electric field can be described by a two degree of freedom Hamiltoniandepending on a parameterK. This Hamiltonian has two equilibrium pointsL1andL2. WhileL1is a saddle-center ... -
KAM aspects of the quasi-periodic Hamiltonian Hopf bifurcation: summary of results
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (s.n., 2007-08-20)
Text en actes de congrés
Accés obertIn this work we consider a 1:-1 non semi-simple resonant periodic orbit of a three-degrees of freedom real analytic Hamiltonian system. From the formal analysis of the normal form, it is proved the branching off a ... -
KAM aspects of the quasiperiodic Hamiltonian Hopf bifurcation
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (2004)
Article
Accés obertIn this work we consider a normal form around a 1:-1 non semi-simple resonant periodic orbit of a three-degree of freedom Hamiltonian system. From the formal analysis it can be proved the branching off a two-parameter ... -
Miniversal Deformations of Bimodal Picewise Linear Systems
Ferrer Llop, Josep; Magret Planas, Maria dels Dolors; Pacha Andújar, Juan Ramón; Peña Carrera, Marta (Servicio de publicaciones de la UPV, 2010)
Comunicació de congrés
Accés obertBimodal linear systems are those consisting of two linear systems on each side of a given hyperplane, having continuous dynamics along that hyperplane. In this work, we focus on the derivation of (orthogonal) miniversal ... -
Motion close to the hopf bifurcation of the vertical family of periodic orbits of L^4
Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (2003)
Article
Accés obertThe paper deals with different kinds of invariant motions (periodic orbits, 2D and 3D invariant tori and invariant manifolds of periodic orbits) in order to analyze the Hamiltonian direct Hopf bifurcation that takes place ... -
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 ...