期刊论文详细信息
| Symmetry, Integrability and Geometry: Methods and Applications | |
| Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces | |
| 关键词: many-body problems; N-body problems; partial differential equations; isochronous systems; | |
| DOI : 10.3842/SIGMA.2013.059 | |
| 来源: DOAJ | |
【 摘 要 】
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→ ∞.
【 授权许可】
Unknown
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