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Special Issue: Celebrating the 75th Birthday of V.V. Kozlov (Issue Editors: Sergey Bolotin, Vladimir Dragović, and Dmitry Treschev)
On Tensor Invariants of the Clebsch System
Andrey V. Tsiganov Steklov Mathematical Institute of Russian Academy of Sciences,
ul. Gubkina 8, 119991 Moscow, Russia
Аннотация:
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.
Ключевые слова:
integrable systems, tensor invariants, rigid body motion
Поступила в редакцию: 03.04.2025 Принята в печать: 15.07.2025
Образец цитирования:
Andrey V. Tsiganov, “On Tensor Invariants of the Clebsch System”, Regul. Chaotic Dyn., 30:4 (2025), 742–764
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd1332 https://www.mathnet.ru/rus/rcd/v30/i4/p742
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