Exploració per autor "Martín de la Torre, Pablo"
Ara es mostren els items 4-23 de 24
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Differentiable invariant manifolds for partially hyperbolic tori and a lambda lemma
Fontich i Julià, Ernest; Martín de la Torre, Pablo (2000)
Article
Accés obertWe consider differentiable maps having an invariant torus with normal behavior having a central part. We prove the existence and regularity of pseudostable manifolds and regularity with respect to parameters. Then we ... -
Dynamical systems on lattices with decaying interaction I: A functional analysis framework
Fontich, Ernest; Llave Canosa, Rafael de la; Martín de la Torre, Pablo (2011-03-15)
Article
Accés restringit per política de l'editorialWe consider weakly coupled map lattices with a decaying interaction. That is, we consider systems which consist of a phase space at every site such that the dynamics at a site is little affected by the dynamics at far ... -
Dynamical systems on lattices with decaying interaction II: Hyperbolic sets and their invariant manifolds
Fontich, Ernest; Llave Canosa, Rafael de la; Martín de la Torre, Pablo (2011-03-15)
Article
Accés restringit per política de l'editorialThis is the second part of the work devoted to the study of maps with decay in lattices. Here we apply the general theory developed in Fontich et al. (2011) to the study of hyperbolic sets. In particular, we establish that ... -
EQUACIONS DIFERENCIALS ORDINÀRIES
Martín de la Torre, Pablo (Universitat Politècnica de Catalunya, 2021-01-12)
Examen
Accés restringit a la comunitat UPC -
EQUACIONS DIFERENCIALS ORDINÀRIES
Martín de la Torre, Pablo (Universitat Politècnica de Catalunya, 2020-10-29)
Examen
Accés restringit a la comunitat UPC -
EQUACIONS DIFERENCIALS ORDINÀRIES | EXTRAORDINARI
Martín de la Torre, Pablo (Universitat Politècnica de Catalunya, 2023-06-28)
Examen
Accés restringit a la comunitat UPC -
EQUACIONS DIFERENCIALS ORDINÀRIES-FINAL
Martín de la Torre, Pablo (Universitat Politècnica de Catalunya, 2023-01-16)
Examen
Accés restringit a la comunitat UPC -
EQUACIONS DIFERENCIALS ORDINÀRIES-PARCIAL
Martín de la Torre, Pablo (Universitat Politècnica de Catalunya, 2022-10-27)
Examen
Accés restringit a la comunitat UPC -
Exponentially small splitting of separatrices in the perturbed McMillan map
Martínez-Seara Alonso, M. Teresa; Martín de la Torre, Pablo; Sauzin, D. (2009-12)
Report de recerca
Accés obertThe McMillan map is a one-parameter family of integrable symplectic maps of the plane, for which the origin is a hyperbolic fixed point with a homoclinic loop, with small Lyapunov exponent when the parameter is small. ... -
FUNCIONS DE VARIABLE COMPLEXA | Parcial 2Q
Serra Albó, Oriol; Guàrdia Rubies, Jordi; Martín de la Torre, Pablo (Universitat Politècnica de Catalunya, 2024-04-08)
Examen
Accés restringit a la comunitat UPC -
HAMILTONIAN SYSTEMS (Examen final, 2n quadrimestre)
Martín de la Torre, Pablo (Universitat Politècnica de Catalunya, 2022-05-30)
Examen
Accés obert -
Hamiltonian systems with orbits covering densely submanifolds of small codimension
Fontich i Julià, Ernest; Martín de la Torre, Pablo (2000)
Article
Accés obertThe existence of a transition chain in a Hamiltonian system leads to the existence of orbits shadowing it, if some lambda lemma can be applied. This fact has been used to prove the existence of diffusion in perturbations ... -
Introducció a les Equacions Diferencials Ordinàries
Martín de la Torre, Pablo (Universitat Politècnica de Catalunya, 2022-12-12)
Apunts
Accés obert -
Invariant manifolds of parabolic fixed points (I). Existence and dependence on parameters
Baldomá Barraca, Inmaculada; Fontich Julia, Ernest; Martín de la Torre, Pablo (2020-04-15)
Article
Accés obertIn this paper we study the existence and regularity of stable manifolds associated to fixed points of parabolic type in the differentiable and analytic cases, using the parametrization method. The parametrization method ... -
Invariant manifolds of parabolic fixed points (II). Approximations by sums of homogeneous functions
Baldomá Barraca, Inmaculada; Fontich Julia, Ernest; Martín de la Torre, Pablo (2020-04-15)
Article
Accés obertWe study the computation of local approximations of invariant manifolds of parabolic fixed points and parabolic periodic orbits of periodic vector fields. If the dimension of these manifolds is two or greater, in general, ... -
MÈTODES QUANTITATIUS I QUALITATIUS EN SISTEMES DINÀMICS | FINAL
Martín de la Torre, Pablo (Universitat Politècnica de Catalunya, 2023-12-19)
Examen
Accés restringit a la comunitat UPC -
Novel slow–fast behaviour in an oscillator driven by a frequency-switching force
Bonet Revés, Carles; Jeffrey, Mike R.; Martín de la Torre, Pablo; Olm Miras, Josep Maria (2023-04)
Article
Accés obertWhen an oscillator switches abruptly between different frequencies, there is some ambiguity in deciding how the system should be modelled at the switch. Here we describe two seemingly natural models of a switch in a simple ... -
Oscillatory motions and parabolic manifolds at infinity in the planar circular restricted three body problem
Capinski, Maciej J.; Guàrdia Munarriz, Marcel; Martínez-Seara Alonso, M. Teresa; Zgliczynski, Piotr; Martín de la Torre, Pablo (Elsevier, 2022-05-25)
Article
Accés obertConsider the Restricted Planar Circular 3 Body Problem. If the trajectory of the body of zero mass is defined for all time, it can have the following four types of asymptotic motion when time tends to infinity forward or ... -
Quantitative and Qualitative Methods in Dynamical Systems
Martín de la Torre, Pablo (Universitat Politècnica de Catalunya, 2020-01-10)
Examen
Accés restringit a la comunitat UPC -
Resurgence of inner solutions for perturbations of the McMillan map
Martínez-Seara Alonso, M. Teresa; Sauzin, D.; Martín de la Torre, Pablo (2009-12)
Report de recerca
Accés obertA sequence of “inner equations” attached to certain perturbations of the McMillan map was considered in [MSS09], their solutions were used in that article to measure an exponentially small separatrix splitting. We prove ...