Calculations of periodic trajectories for the Henon-Heiles Hamiltonian using the monodromy method.
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.
Davies
K. T. R.
KT
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.
Huston
T. E.
TE
Baranger
M.
M