Ir al contenido (pulsa Retorno)

Universitat Politècnica de Catalunya

    • Català
    • Castellano
    • English
    • LoginRegisterLog in (no UPC users)
  • mailContact Us
  • world English 
    • Català
    • Castellano
    • English
  • userLogin   
      LoginRegisterLog in (no UPC users)

UPCommons. Global access to UPC knowledge

Banner header
61.690 UPC E-Prints
You are here:
View Item 
  •   DSpace Home
  • E-prints
  • Grups de recerca
  • EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
  • Articles de revista
  • View Item
  •   DSpace Home
  • E-prints
  • Grups de recerca
  • EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
  • Articles de revista
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Adiabatic invariant of the harmonic oscillator, complex matching and resurgence

Thumbnail
View/Open
9701bonet.pdf (416,9Kb)
  View Usage Statistics
  LA Referencia / Recolecta stats
Cita com:
hdl:2117/857

Show full item record
Bonet Revés, CarlesMés informacióMés informació
Sauzin, D.
Martínez-Seara Alonso, M. TeresaMés informacióMés informacióMés informació
València Guitart, MartaMés informacióMés informacióMés informació
Document typeArticle
Defense date1997
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 2.5 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 2.5 Spain
Abstract
The linear oscillator equation with a frequency depending slowly on time is used to test a method to compute exponentially small quantities. This work present the matching method in the complex plane as a tool to obtain rigorously the asymptotic variation of the action of the associated hamiltonian beyond all orders. The solution in the complex plane is aproximated by a series in which all terms present a singularity at the same point. Following matching techniques near this singularity one is led to an equation which does not depend on any parameter, the so-called inner equation, of a Riccati type. This equation is studied by resurgence methods.
URIhttp://hdl.handle.net/2117/857
Collections
  • EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions - Articles de revista [415]
  • Departament de Matemàtiques - Articles de revista [3.101]
  View Usage Statistics

Show full item record

FilesDescriptionSizeFormatView
9701bonet.pdf416,9KbPDFView/Open

Browse

This CollectionBy Issue DateAuthorsOther contributionsTitlesSubjectsThis repositoryCommunities & CollectionsBy Issue DateAuthorsOther contributionsTitlesSubjects

© UPC Obrir en finestra nova . Servei de Biblioteques, Publicacions i Arxius

info.biblioteques@upc.edu

  • About This Repository
  • Contact Us
  • Send Feedback
  • Privacy Settings
  • Inici de la pàgina