Walker D M, Tufillaro N B
Department of Applied Science, College of William and Mary, Williamsburg, Virginia 23187-8795, USA.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Oct;60(4 Pt A):4008-13. doi: 10.1103/physreve.60.4008.
In this paper we suggest that an extension of a procedure recently proposed by Wayland et al. [Phys. Rev. Lett. 70, 580 (1993)] for recognizing determinism in an autonomous time series can also be used as a diagnostic for determining an appropriate embedding dimension for driven ("input-output") systems. We compare the results of this extension to the results produced by the extensions to the method of false nearest neighbors put forward by Rhodes and Morari [Proceedings of the American Control Conference, Seattle, edited by The American Automatic Control Council (IEEE, Piscataway, 1995)] and the method of averaged false nearest neighbors by Cao et al. [Int. J. Bifurcation Chaos 8, 1491 (1998)].
在本文中，我们提出，Wayland等人[《物理评论快报》70, 580 (1993)]最近提出的用于识别自治时间序列中确定性的一种方法的扩展，也可作为一种诊断方法，用于确定受驱（“输入 - 输出”）系统的合适嵌入维数。我们将此扩展的结果与Rhodes和Morari[《美国控制会议论文集》，西雅图，由美国自动控制委员会编辑（电气和电子工程师协会，皮斯卡塔韦，1995）]提出的伪最近邻方法的扩展结果以及Cao等人[《国际分岔与混沌杂志》8, 1491 (1998)]提出的平均伪最近邻方法的结果进行比较。
