Generalized Hannay-Berry Connections on Foliated Manifolds and Applications

11 Apr 2019 · Misael Avendaño-Camacho, Issac Hasse-Armengol, Vorobev Yury ·

In this paper, we discuss some aspects of the averaging method for Poisson connections on foliated manifolds with symmetry generalizing the previous results on the Hannay-Berry connections on fibrations due to \cite{Mn-88,MaMoRa-90} which play an important role in the normal form theory for Hamiltonian systems of adiabatic type.