A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: Announcement of results

We present a geometric mechanism for diffusion in Hamiltonian systems. We also present tools that allow to verify it in a concrete model. In particular, we verify it in a system which presents the large gap problem.

Detalles Bibliográficos
Autores: Delshams Valdés, Amadeu|||0000-0003-4134-8882, Llave Canosa, Rafael de la, Martínez-Seara Alonso, M. Teresa|||0000-0001-8421-8717
Tipo de recurso: artículo
Fecha de publicación:2003
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/851
Acceso en línea:https://hdl.handle.net/2117/851
Access Level:acceso abierto
Palabra clave:Hamiltonian dynamical systems
Lagrangian functions
Hamiltonian systems
geometric mechanism for diffusion
Hamilton, Sistemes de
Lagrange, Funcions de
Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
Descripción
Sumario:We present a geometric mechanism for diffusion in Hamiltonian systems. We also present tools that allow to verify it in a concrete model. In particular, we verify it in a system which presents the large gap problem.

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