Disappearance of integrals in systems of more than two degrees of freedom

The disappearance of some integrals of motion when two or more resonance conditions are approached at the same time is explained. As an example a Hamiltonian of three degrees of freedom is considered in action-angle variables which in zero order represents three harmonic oscillators, while the pertu...

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Detalles Bibliográficos
Autor principal: Contopoulos, George
Lenguaje:eng
Publicado: 1978
Materias:
General Theoretical Physics
Acceso en línea:https://dx.doi.org/10.1007/BF01228716
http://cds.cern.ch/record/879148
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author Contopoulos, George
author_facet Contopoulos, George
author_sort Contopoulos, George
collection CERN
description The disappearance of some integrals of motion when two or more resonance conditions are approached at the same time is explained. As an example a Hamiltonian of three degrees of freedom is considered in action-angle variables which in zero order represents three harmonic oscillators, while the perturbation contains two trigonometric terms. One integral disappears if two appropriate resonant conditions are approached sufficiently closely. (11 refs).
id cern-879148
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1978
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spelling cern-8791482019-09-30T06:29:59Zdoi:10.1007/BF01228716http://cds.cern.ch/record/879148engContopoulos, GeorgeDisappearance of integrals in systems of more than two degrees of freedomGeneral Theoretical PhysicsThe disappearance of some integrals of motion when two or more resonance conditions are approached at the same time is explained. As an example a Hamiltonian of three degrees of freedom is considered in action-angle variables which in zero order represents three harmonic oscillators, while the perturbation contains two trigonometric terms. One integral disappears if two appropriate resonant conditions are approached sufficiently closely. (11 refs).oai:cds.cern.ch:8791481978
spellingShingle General Theoretical Physics
Contopoulos, George
Disappearance of integrals in systems of more than two degrees of freedom
title Disappearance of integrals in systems of more than two degrees of freedom
title_full Disappearance of integrals in systems of more than two degrees of freedom
title_fullStr Disappearance of integrals in systems of more than two degrees of freedom
title_full_unstemmed Disappearance of integrals in systems of more than two degrees of freedom
title_short Disappearance of integrals in systems of more than two degrees of freedom
title_sort disappearance of integrals in systems of more than two degrees of freedom
topic General Theoretical Physics
url https://dx.doi.org/10.1007/BF01228716
http://cds.cern.ch/record/879148
work_keys_str_mv AT contopoulosgeorge disappearanceofintegralsinsystemsofmorethantwodegreesoffreedom

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