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nlin.SI2008★ 26 cited
Leonard Euler: addition theorems and superintegrable systems
A V Tsiganov
We consider the Euler approach to construction and to investigation of the superintegrable systems related to the addition theorems. As an example we reconstruct Drach systems and…
nlin.SI2008★ 16 cited
On bi-hamiltonian geometry of the Lagrange top
A. V. Tsiganov
We consider three different incompatible bi-Hamiltonian structures for the Lagrange top, which have the same foliation by symplectic leaves. These bivectors may be associated with…