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Abstract <p> The theory of tensor invariants for ordinary differential equations and Cartan classification of simple Lie algebras are used to establish an isomorphism between the Kozlov problem on ferromagnetic motion in a magnetic field and the Schottky problem on four-dimensional solid motion. We derived new polynomial and rational Poisson bivectors which are invariant either with respect to the pair of commuting phase flows or with respect to one of the pair of flows. </p>

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On the isomorphism between the Kozlov problem on ferromagnetic motion in a magnetic field and the Schottky problem on four-dimensional solid motion

  • 期刊论文

  • 发表日期：

    2026年5月26日

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  • A. V. Tsiganov,
  • E. O. Porubov

摘要

Abstract

The theory of tensor invariants for ordinary differential equations and Cartan classification of simple Lie algebras are used to establish an isomorphism between the Kozlov problem on ferromagnetic motion in a magnetic field and the Schottky problem on four-dimensional solid motion. We derived new polynomial and rational Poisson bivectors which are invariant either with respect to the pair of commuting phase flows or with respect to one of the pair of flows.