Merlo O, Jung C, Seligman T H
Institut für theoretische Physik, Universität Basel, Switzerland.
Chaos. 2004 Dec;14(4):969-74. doi: 10.1063/1.1790611.
Discrete symmetries of a system are reflected in the properties of the shortest periodic orbits. By applying a recent method to extract these from the scaling of the fractal structure in scattering functions, we show how the symmetries can be extracted from scattering data simultaneously with the periods and the Lyapunov exponents. We pay particular attention to the change of scattering data under a small symmetry breaking.
系统的离散对称性反映在最短周期轨道的性质中。通过应用一种从散射函数中分形结构的标度提取这些轨道的最新方法，我们展示了如何能从散射数据中同时提取对称性、周期和李雅普诺夫指数。我们特别关注在微小对称性破缺下散射数据的变化。
