title: Calculations of periodic trajectories for the Henon-Heiles Hamiltonian using the monodromy method.
abstract: The monodromy method, for calculating classical periodic trajectories, is applied to the famous Henon-Heiles potential, which is invariant under the group D(3). The monodromy method is computationally very efficient and is used to find many families of periodic trajectories, including a number of simple bifurcations from the main families of the Henon-Heiles potential.
authors.affiliation: Center for Computationally Intensive Physics, Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6373Department of Nuclear Engineering Sciences, University of Florida, Gainesville, Florida 32611Center for Theoretical Physics, Laboratory for Nuclear Science, and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139.
authors.forename: K. T. R.
authors.initials: KT
authors.lastname: Davies
authors.forename: T. E.
authors.initials: TE
authors.lastname: Huston
authors.forename: M.
authors.initials: M
authors.lastname: Baranger