Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces

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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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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік
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dc.contributor.author	Bihun, O.
dc.contributor.author	Calogero, F.
dc.date.accessioned	2019-02-21T07:07:23Z
dc.date.available	2019-02-21T07:07:23Z
dc.date.issued	2013
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 70F10; 70H06; 37J35; 37K10
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2013.059
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149349
dc.description.abstract	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→ ∞.	uk_UA
dc.description.sponsorship	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA