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Calculations of periodic trajectories for the Henon-Heiles Hamiltonian using the monodromy method
K. T. R. Davies1, T. E. Huston, M. Baranger
1Center 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.
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.