Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces
The class of solvable many-body problems ''of goldfish type'' is extended by including (the additional presence of) three-body forces. The solvable N-body problems thereby identified are characterized by Newtonian equations of motion featuring 19 arbitrary ''coupling co...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2013 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149349 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces / O. Bihun, F. Calogero // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 18 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862569521687035904 |
|---|---|
| author | Bihun, O. Calogero, F. |
| author_facet | Bihun, O. Calogero, F. |
| citation_txt | Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces / O. Bihun, F. Calogero // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 18 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The class of solvable many-body problems ''of goldfish type'' is extended by including (the additional presence of) three-body forces. The solvable N-body problems thereby identified are characterized by Newtonian equations of motion featuring 19 arbitrary ''coupling constants''. Restrictions on these constants are identified which cause these systems – or appropriate variants of them – to be isochronous or asymptotically isochronous, i.e. all their solutions to be periodic with a fixed period (independent of the initial data) or to have this property up to contributions vanishing exponentially as t→ ∞.
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| first_indexed | 2025-11-26T01:42:58Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-149349 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T01:42:58Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Bihun, O. Calogero, F. 2019-02-21T07:07:23Z 2019-02-21T07:07:23Z 2013 Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces / O. Bihun, F. Calogero // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 18 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 70F10; 70H06; 37J35; 37K10 DOI: http://dx.doi.org/10.3842/SIGMA.2013.059 https://nasplib.isofts.kiev.ua/handle/123456789/149349 The class of solvable many-body problems ''of goldfish type'' is extended by including (the additional presence of) three-body forces. The solvable N-body problems thereby identified are characterized by Newtonian equations of motion featuring 19 arbitrary ''coupling constants''. Restrictions on these constants are identified which cause these systems – or appropriate variants of them – to be isochronous or asymptotically isochronous, i.e. all their solutions to be periodic with a fixed period (independent of the initial data) or to have this property up to contributions vanishing exponentially as t→ ∞. One of us (OB) would like to acknowledge with thanks the hospitality of the Physics Department
 of the University of Rome “La Sapienza” on the occasion of two two-week visits in June 2012 and
 May 2013, and the financial support for these trips provided by the NSF-AWM Travel Grant. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces Article published earlier |
| spellingShingle | Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces Bihun, O. Calogero, F. |
| title | Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces |
| title_full | Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces |
| title_fullStr | Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces |
| title_full_unstemmed | Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces |
| title_short | Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces |
| title_sort | solvable many-body models of goldfish type with one-, two- and three-body forces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149349 |
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