35 citations · 421 across the 77 of their papers we have counts for
4 papers · 1 filter
Noncommutative integrability on noncompact invariant manifolds
E. Fiorani, G. Sardanashvily
The Mishchenko-Fomenko theorem on noncommutative integrability of Hamiltonian systems on a symplectic manifold is extended to the case of noncompact invariant submanifolds.
Bi-Hamiltonian partially integrable systems
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Given a first order dynamical system possessing a commutative algebra of dynamical symmetries, we show that, under certain conditions, there exists a Poisson structure on an open n…
The Liouville-Arnold-Nekhoroshev theorem for non-compact invariant manifolds
E. Fiorani, G. Giachetta, G. Sardanashvily
Under ceratin conditions, generalized action-angle coordinates can be introduced near non-compact invariant manifolds of completely and partially integrable Hamiltonian systems.
Action-angle coordinates for time-dependent completely integrable Hamiltonian systems
G. Giachetta, L. Mangiarotti, G. Sardanashvily
A time-dependent completely integrable Hamiltonian system is proved to admit the action-angle coordinates around any regular instantly compact invariant manifold. Written relative…