Physics – Mathematical Physics
Scientific paper
2006-05-30
J.Math.Phys.47:082702,2006
Physics
Mathematical Physics
22 pages
Scientific paper
10.1063/1.2235035
A new solvable many-body problem of goldfish type is identified and used to revisit the connection among two different approaches to solvable dynamical systems. An isochronous variant of this model is identified and investigated. Alternative versions of these models are presented. The behavior of the alternative isochronous model near its equilibrium configurations is investigated, and a remarkable Diophantine result, as well as related Diophantine conjectures, are thereby obtained.
Calogero Francesco
Langmann Edwin
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