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Multiplicative dynamical systems in terms of the induced dynamics
Theoretical and Mathematical Physics ( IF 1.0 ) Pub Date : 2020-09-01 , DOI: 10.1134/s0040577920090081
A. K. Pogrebkov

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 $$N{\times}N$$ 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.

中文翻译:

诱导动力学方面的乘法动力系统

我们使用新的乘法行列式关系实现了诱导动力学的一个例子,其根给出了粒子的位置。我们提出了描述完全可积动力系统的一般方案,该系统由任意的 $$N{\times}N$$ 动量矩阵参数化,以及在 Calogero-Moser 和 Ruijsenaars-Schneider 双曲系统之间插值的显式模型。我们详细考虑了这个模型的一些特殊情况。
更新日期:2020-09-01
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