On tensor invariants of the Clebsch system

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.

22 pages, LaTeX with AMS fonts

References in corpus (4)

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• Symplectic Groupoids for Poisson Integrators
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• A new approach to integrals of discretizations by polarization