Multiplicative dynamical systems in terms of the induced dynamics

A. K. Pogrebkov

Research output: Contribution to journalArticlepeer-review


Abstract: We realize an example of induced dynamics using new multiplicative determinant relations whose roots give the particle positions. We present both a general scheme for describing completely integrable dynamical systems parameterized by an arbitrary N×N matrix of momenta and an explicit model that interpolates between the Calogero–Moser and Ruijsenaars–Schneider hyperbolic systems. We consider some special cases of this model in detail.

Original languageEnglish
Pages (from-to)1201-1208
Number of pages8
JournalTheoretical and Mathematical Physics(Russian Federation)
Issue number3
Publication statusPublished - 1 Sep 2020


  • completely integrable system
  • induced dynamics


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