Reconstruction phases describe the motions experienced by dynamical systems whose symmetry-reduced variables are undergoing periodic motion. A well known example is the non-trivial rotation experienced by a free rigid body after one period of oscillation of the body angular momentum vector. Here reconstruction phases are derived for a general class of Hamiltonians on a cotangent bundle possessing a group of symmetries , and in particular for mechanical systems. These results are presented as a synthesis of the known special cases and Abelian, which are reviewed in detail.
Cite this article
Anthony D. Blaom, Reconstruction phases for Hamiltonian systems on cotangent bundles. Doc. Math. 7 (2002), pp. 561–604DOI 10.4171/DM/132