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Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces
Репозиторій DSpace/Manakin
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces
Інший ID:
2010 Mathematics Subject Classification: 70F10; 70H06; 37J35; 37K10
DOI: http://dx.doi.org/10.3842/SIGMA.2013.059
DOI: http://dx.doi.org/10.3842/SIGMA.2013.059
Посилання:
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.
Підтримка:
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.
Дата:
2013
Переглядів:
435
Завантажень:
229
Анотація:
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→ ∞.
