Jung C, Emmanouilidou A
Centro de Ciencias Fisicas, UNAM, Apdo postal 48-3, 62251 Cuernavaca, Mexico.
Chaos. 2005 Jun;15(2):23101. doi: 10.1063/1.1859111.
We present a method for constructing a partition of an incomplete horseshoe in a Poincare map. The partition is based only on the unstable manifolds of the outermost fixed points and eventually their limits. Consequently, this partition becomes natural from the point of view of asymptotic scattering observations. The symbolic dynamics derived from this partition coincides with the one derived from the hierarchical structure of the singularities of the scattering functions.
我们提出了一种在庞加莱映射中构建不完全马蹄形分割的方法。该分割仅基于最外层不动点的不稳定流形及其最终极限。因此，从渐近散射观测的角度来看，这种分割变得很自然。从该分割导出的符号动力学与从散射函数奇点的层次结构导出的符号动力学一致。
