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nlin.SI2000★ 1 cited
The Maupertuis principle and integrable systems
Andrey Tsiganov
We discuss some special classes of canonical transformations of the extended phase space, which relate integrable systems with a common Lagrangian submanifold. Various parametric f…
nlin.SI2000★ 54 cited
On the Drach superintegrable systems
A. V. Tsiganov
Cubic invariants for two-dimensional degenerate Hamiltonian systems are considered by using variables of separation of the associated Stäckel problems with quadratic integrals of m…