Exploració per autor "Martín de la Torre, Pablo"
Ara es mostren els items 13-24 de 24
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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 ... -
Whiskered parabolic tori in the planar (n+ 1) -body problem
Baldomá Barraca, Inmaculada; Fontich Julia, Ernest; Martín de la Torre, Pablo (2019-01-01)
Article
Accés obertThe planar (n+1)-body problem models the motion of n+1 bodies in the plane under their mutual Newtonian gravitational attraction forces. When n=3, the question about final motions, that is, what are the possible limit ...