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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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Lenguaje: | eng |
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Oxford Univ. Press
2008
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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 |
id | cern-1100853 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2008 |
publisher | Oxford Univ. Press |
record_format | invenio |
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 |