Exponentially small splitting of separatrices and transversality associated to whiskered tori with quadratic frequency ratio

The splitting of invariant manifolds of whiskered (hyperbolic) tori with two frequencies in a nearly-integrable Hamiltonian system, whose hyperbolic part is given by a pendulum, is studied.

Detalles Bibliográficos
Autores: Delshams Valdés, Amadeu|||0000-0003-4134-8882, Gonchenko, Marina, Gutiérrez Serrés, Pere|||0000-0001-8027-1166
Tipo de recurso: informe técnico
Fecha de publicación:2015
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:2117/85283
Acceso en línea:https://hdl.handle.net/2117/85283
Access Level:acceso abierto
Palabra clave:Splitting of separatrices
transverse homoclinic orbits
Melnikov integrals
quadratic frequency ratio.
Sistemes dinàmics diferenciables
Àrees temàtiques de la UPC::Matemàtiques i estadística
Descripción
Sumario:The splitting of invariant manifolds of whiskered (hyperbolic) tori with two frequencies in a nearly-integrable Hamiltonian system, whose hyperbolic part is given by a pendulum, is studied.