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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| Дата: | 2013 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2013
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149349 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1493492019-02-22T01:22:48Z Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces Bihun, O. Calogero, F. 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→ ∞. 2013 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/149349 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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→ ∞. |
| format |
Article |
| author |
Bihun, O. Calogero, F. |
| spellingShingle |
Bihun, O. Calogero, F. Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Bihun, O. Calogero, F. |
| author_sort |
Bihun, O. |
| title |
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_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_sort |
solvable many-body models of goldfish type with one-, two- and three-body forces |
| publisher |
Інститут математики НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149349 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT bihuno solvablemanybodymodelsofgoldfishtypewithonetwoandthreebodyforces AT calogerof solvablemanybodymodelsofgoldfishtypewithonetwoandthreebodyforces |
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2023-05-20T17:32:47Z |
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2023-05-20T17:32:47Z |
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