使用单值性方法对亨农-海尔斯哈密顿量的周期轨道进行计算。

Calculations of periodic trajectories for the Henon-Heiles Hamiltonian using the monodromy method.

作者信息

Davies K. T. R., Huston T. E., Baranger M.

机构信息

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.

出版信息

Chaos. 1992 Apr;2(2):215-224. doi: 10.1063/1.165907.

DOI:10.1063/1.165907

PMID:12779967

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.

摘要

用于计算经典周期轨道的单值性方法被应用于著名的亨农 - 海尔斯势，该势在D(3)群下是不变的。单值性方法在计算上非常高效，并且被用于找到许多周期轨道族，包括从亨农 - 海尔斯势的主要轨道族产生的一些简单分岔。