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Hamiltonian systems with orbits covering densely submanifolds of small codimension
dc.contributor.author | Fontich i Julià, Ernest |
dc.contributor.author | Martín de la Torre, Pablo |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2007-04-27T16:50:35Z |
dc.date.available | 2007-04-27T16:50:35Z |
dc.date.created | 2000 |
dc.date.issued | 2000 |
dc.identifier.uri | http://hdl.handle.net/2117/784 |
dc.description.abstract | The 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 of integrable a priori stable systems. We prove that, under suitable conditions, there are orbits which cover densely codimension two submanifolds of the (2n - 1)-dimensional energy level. We also construct examples, near general integrable systems, where the computations to verify the sufficient conditions for the appearance of such phenomenon can be performed. |
dc.format.extent | 19 |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
dc.subject.lcsh | Dynamical systems |
dc.subject.lcsh | Hamiltonian dynamical systems |
dc.subject.lcsh | Lagrangian functions |
dc.subject.other | Hamiltonian systems |
dc.subject.other | invariant tori |
dc.subject.other | Arnold diffusion |
dc.title | Hamiltonian systems with orbits covering densely submanifolds of small codimension |
dc.type | Article |
dc.subject.lemac | Hamilton, Sistemes de |
dc.subject.lemac | Lagrange, Funcions de |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics |
dc.rights.access | Open Access |
local.personalitzacitacio | true |
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