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Isochronous Systems

A dynamical system is called isochronous if it features in its phase space an open, fully-dimensional region where all its solutions are periodic in all its degrees of freedom with the same, fixed period. Recently a simple transformation has been introduced, applicable to quite a large class of dyna...

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Detalles Bibliográficos
Autor principal: Calogero, Francesco
Lenguaje:eng
Publicado: Oxford Univ. Press 2008
Materias:
Acceso en línea:https://dx.doi.org/10.1093/acprof:oso/9780199535286.001.0001
http://cds.cern.ch/record/1100853
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author Calogero, Francesco
author_facet Calogero, Francesco
author_sort Calogero, Francesco
collection CERN
description A dynamical system is called isochronous if it features in its phase space an open, fully-dimensional region where all its solutions are periodic in all its degrees of freedom with the same, fixed period. Recently a simple transformation has been introduced, applicable to quite a large class of dynamical systems, that yields autonomous systems which are isochronous. This justifies the notion that isochronous systems are not rare.In this book the procedure to manufacture isochronous systems is reviewed, and many examples of such systems are provided. Examples include many-body problems characte
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2008
publisher Oxford Univ. Press
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spelling cern-11008532021-04-22T01:48:51Zdoi:10.1093/acprof:oso/9780199535286.001.0001http://cds.cern.ch/record/1100853engCalogero, FrancescoIsochronous SystemsMathematical Physics and MathematicsA dynamical system is called isochronous if it features in its phase space an open, fully-dimensional region where all its solutions are periodic in all its degrees of freedom with the same, fixed period. Recently a simple transformation has been introduced, applicable to quite a large class of dynamical systems, that yields autonomous systems which are isochronous. This justifies the notion that isochronous systems are not rare.In this book the procedure to manufacture isochronous systems is reviewed, and many examples of such systems are provided. Examples include many-body problems characteOxford Univ. Pressoai:cds.cern.ch:11008532008
spellingShingle Mathematical Physics and Mathematics
Calogero, Francesco
Isochronous Systems
title Isochronous Systems
title_full Isochronous Systems
title_fullStr Isochronous Systems
title_full_unstemmed Isochronous Systems
title_short Isochronous Systems
title_sort isochronous systems
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1093/acprof:oso/9780199535286.001.0001
http://cds.cern.ch/record/1100853
work_keys_str_mv AT calogerofrancesco isochronoussystems