Phase-Space Reconstructions and Stick-Slip
Phase-Space Reconstructions and Stick-Slip
复制标题
相空间重构和粘滑运动
DOI：
10.1023/a:1008245332549
复制
发表时间：
1997
影响因子：
5.6
通讯作者：
J. Liang
中科院分区：
文献类型：
--
作者：
B. Feeny;J. Liang
粘滑等非光滑过程可能会引入相空间重构问题。我们研究了混沌单自由度粘滑摩擦模型，并使用延迟方法重建相空间。我们说明了这种重建过程可以导致伪轨迹以一种不同于原始相空间的维度坍缩的方式坍缩，但与之相关。结果表明，重构的吸引子在拓扑结构上与真实的吸引子不相似。为了识别这种情况，应用了标准尺寸标注工具。研究了使用额外的可观测值作为解决问题的可能方法。
Nonsmooth processes such as stick-slip may introduce problems with phase-space reconstructions. We examine chaotic single-degree-of-freedom stick-slip friction models and use the method of delays to reconstruct the phase space. We illustrate that this reconstruction process can cause pseudo trajectories to collapse in a way that is unlike, yet related to, the dimensional collapse in the original phase-space. As a result, the reconstructed attractor is not topologically similar to the real attractor. Standard dimensioning tools are applied in effort to recognize this situation. The use of additional observables is examined as a possible remedy for the problem.