F. Calogero, E. Langmann
Published 2006-05-30Version 1
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.
Comments: 22 pages
Journal: J.Math.Phys.47:082702,2006
Classical Isometrodynamics
A new solvable many-body problem of goldfish type
Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method
