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Calogero, F.
Bruschi, M.
Calogero, F.
author Bruschi, M.
Calogero, F.
spellingShingle Bruschi, M.
Calogero, F.
Journal of Mathematical Physics
Novel solvable variants of the goldfish many-body model
Mathematical Physics
Statistical and Nonlinear Physics
author_sort bruschi, m.
spelling Bruschi, M. Calogero, F. 0022-2488 1089-7658 AIP Publishing Mathematical Physics Statistical and Nonlinear Physics http://dx.doi.org/10.1063/1.2167917 <jats:p>A recent technique to identify solvable many-body problems in two-dimensional space yields, via a new twist, new many-body problems of “goldfish” type. Some of these models are isochronous, namely their generic solutions are completely periodic with a fixed period (independent of the initial data). The investigation of the behavior of some of these isochronous systems in the vicinity of their equilibrium configurations yields some amusing diophantine relations.</jats:p> Novel solvable variants of the goldfish many-body model Journal of Mathematical Physics
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title Novel solvable variants of the goldfish many-body model
title_unstemmed Novel solvable variants of the goldfish many-body model
title_full Novel solvable variants of the goldfish many-body model
title_fullStr Novel solvable variants of the goldfish many-body model
title_full_unstemmed Novel solvable variants of the goldfish many-body model
title_short Novel solvable variants of the goldfish many-body model
title_sort novel solvable variants of the goldfish many-body model
topic Mathematical Physics
Statistical and Nonlinear Physics
url http://dx.doi.org/10.1063/1.2167917
publishDate 2006
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description <jats:p>A recent technique to identify solvable many-body problems in two-dimensional space yields, via a new twist, new many-body problems of “goldfish” type. Some of these models are isochronous, namely their generic solutions are completely periodic with a fixed period (independent of the initial data). The investigation of the behavior of some of these isochronous systems in the vicinity of their equilibrium configurations yields some amusing diophantine relations.</jats:p>
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author Bruschi, M., Calogero, F.
author_facet Bruschi, M., Calogero, F., Bruschi, M., Calogero, F.
author_sort bruschi, m.
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description <jats:p>A recent technique to identify solvable many-body problems in two-dimensional space yields, via a new twist, new many-body problems of “goldfish” type. Some of these models are isochronous, namely their generic solutions are completely periodic with a fixed period (independent of the initial data). The investigation of the behavior of some of these isochronous systems in the vicinity of their equilibrium configurations yields some amusing diophantine relations.</jats:p>
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spelling Bruschi, M. Calogero, F. 0022-2488 1089-7658 AIP Publishing Mathematical Physics Statistical and Nonlinear Physics http://dx.doi.org/10.1063/1.2167917 <jats:p>A recent technique to identify solvable many-body problems in two-dimensional space yields, via a new twist, new many-body problems of “goldfish” type. Some of these models are isochronous, namely their generic solutions are completely periodic with a fixed period (independent of the initial data). The investigation of the behavior of some of these isochronous systems in the vicinity of their equilibrium configurations yields some amusing diophantine relations.</jats:p> Novel solvable variants of the goldfish many-body model Journal of Mathematical Physics
spellingShingle Bruschi, M., Calogero, F., Journal of Mathematical Physics, Novel solvable variants of the goldfish many-body model, Mathematical Physics, Statistical and Nonlinear Physics
title Novel solvable variants of the goldfish many-body model
title_full Novel solvable variants of the goldfish many-body model
title_fullStr Novel solvable variants of the goldfish many-body model
title_full_unstemmed Novel solvable variants of the goldfish many-body model
title_short Novel solvable variants of the goldfish many-body model
title_sort novel solvable variants of the goldfish many-body model
title_unstemmed Novel solvable variants of the goldfish many-body model
topic Mathematical Physics, Statistical and Nonlinear Physics
url http://dx.doi.org/10.1063/1.2167917