An isochronous variant of the Ruijsenaars-Toda model: Equilibrium configurations, behavior in their neighborhood, Diophantine relations

An isochronous variant of the Ruijsenaars-Toda integrable many-body problem is introduced, an equilibrium configuration of this dynamical system is identified and by investigating the motions in its neighborhood Diophantine relations are obtained. © 2009 IOP Publishing Ltd.