On Tensor Invariants of the Clebsch System

2025, Volume 30, Number 4, pp. 742-764

Author(s): Tsiganov A. V.

We present some new Poisson bivectors that are invariants by the Clebsch system flow. Symplectic integrators on their symplectic leaves exactly preserve the corresponding Casimir functions, which have different physical meanings. The Kahan discretization of the Clebsch system is discussed briefly.

Keywords: integrable systems, tensor invariants, rigid body motion

Citation: Tsiganov A. V., On Tensor Invariants of the Clebsch System, Regular and Chaotic Dynamics, 2025, Volume 30, Number 4, pp. 742-764

DOI: 10.1134/S1560354725040185

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