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On tensor invariants of the Clebsch system

Published 21 Apr 2025 in nlin.SI, math-ph, and math.MP | (2504.14867v1)

Abstract: 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.

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