2 papers
math.OC2007
Control of mechanical systems on Lie groups and ideal hydrodynamics
Mikhail V. Deryabin
In contrast to the Euler-Poincar{é} reduction of geodesic flows of left- or right-invariant metrics on Lie groups to the corresponding Lie algebra (or its dual), one can consider t…
math.DG2007
Helicity-type integral invariants for Hamiltonian systems
Mikhail V. Deryabin
In this note, we consider generalizations of the asymptotic Hopf invariant, or helicity, for Hamiltonian systems with one-and-a-half degrees of freedom and symplectic diffeomorphis…