Abstract

A new solvable discrete-time many-body problem is identified. It extends a model treated in a previous paper by introducing in its equations of motion an additional free parameter. Hence, it features 6 parameters, 2 of which can be eliminated (say, replaced by unity) by appropriate rescalings. Assignments of these parameters are identified which entail that the many-body model is asymptotically isochronous, namely, that its generic solution—when the discrete-time variable ℓ diverges, ℓ → ∞—becomes completely periodic up to exponentially vanishing corrections, with a fixed period independent of the initial data.

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