一种新的选择相空间重构参数的方法

摘要

阐述了时间延迟对于相空间重构的影响，概括现有的基于相空间扩展准则选择时间延迟的主要方法，提出了以相轨迹绕相空间主方向轴转动惯量为依据的新方法，利用典型数据测试，并与典型的平均位移法进行比较。结果表明：本文提出的转动惯量法不仅具有更明确的物理与几何意义，而且可以更好地选择时间延迟。%This paper shows that how the time delay influence the phase space reconstruction, and generalizes several primary method of choosing time delay based on phase space expansion. Furthermore, a new method depending on moment of inertia of phase trace relative to main axes is put forward. Tested with the representative data, the new method demonstrates better performance compared with the typical average displacement method. It not only has explicit characteristic of physics and geometry, but also can be used to choose better time delay.