Motion near the transition to complex instability: some examples

Complex 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 close to the transition from stability to comlex instability for a family of period...

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Detalles Bibliográficos
Autores: Ollé Torner, Mercè|||0000-0002-8050-9055, Pacha Andújar, Juan Ramón|||0000-0003-4599-3141
Tipo de recurso: artículo
Fecha de publicación:1997
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:2117/958
Acceso en línea:https://hdl.handle.net/2117/958
Access Level:acceso abierto
Palabra clave:Hamiltonian dynamical systems
Lagrangian functions
Dynamics
Global analysis (Mathematics)
complex instability
Hamilton, Sistemes de
Lagrange, Funcions de
Partícules (Física nuclear)
Varietats (Matemàtica)
Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
Classificació AMS::58 Global analysis, analysis on manifolds
Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
Descripción
Sumario:Complex 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 close to the transition from stability to comlex instability for a family of periodic orbits.