Data-driven spectral analysis for coordinative structures in periodic systems with unknown and redundant dynamics
Data-driven spectral analysis for coordinative structures in periodic systems with unknown and redundant dynamics
复制标题
具有未知和冗余动态的周期系统中协调结构的数据驱动谱分析
DOI：
10.1101/511642
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Y. Kawahara
中科院分区：
文献类型：
--
作者：
Keisuke Fujii;Naoya Takeishi;Benio Kibushi;M. Kouzaki;Y. Kawahara
生物有机体动态和灵活地操作大量组件。作为一种冗余控制机制，多个部件之间的低维协调结构已被研究。然而，从传统的统计降维方法提取的结构并不反映原则上的动力学性质。在这里，我们认为协调结构的生物周期系统的未知和冗余的动力学作为一个非线性极限环振荡，并应用数据驱动的算子理论谱分析，得到的动力学性质的协调结构，如频率和相位从估计的特征值和特征函数的组合操作。首先，从人类行走过程中的节间角度，提取步态频率的与速度无关的谐波。其次，我们通过估计本征函数发现了传统低维结构上相位随时间的演化行为。我们的方法有助于从非线性动力系统的角度来理解未知和冗余动力学的生物周期现象。
Living organisms dynamically and flexibly operate a great number of components. As one of such redundant control mechanisms, low-dimensional coordinative structures among multiple components have been investigated. However, structures extracted from the conventional statistical dimensionality reduction methods do not reflect dynamical properties in principle. Here we regard coordinative structures in biological periodic systems with unknown and redundant dynamics as a nonlinear limit-cycle oscillation, and apply a data-driven operator-theoretic spectral analysis, which obtains dynamical properties of coordinative structures such as frequency and phase from the estimated eigenvalues and eigenfunctions of a composition operator. First, from intersegmental angles during human walking, we extracted the speed-independent harmonics of gait frequency. Second, we discovered the speed-dependent time-evolving behaviors of the phase on the conventional low-dimensional structures by estimating the eigenfunctions. Our approach contributes to the understanding of biological periodic phenomena with unknown and redundant dynamics from the perspective of nonlinear dynamical systems.
影响因子：
2.5
作者：
Torres-Oviedo, Gelsy;Macpherson, Jane M.;Ting, Lena H.
通讯作者：
Ting, Lena H.
人类步态的相位重置行为受到跑步机行走速度的影响。
影响因子：
2.4
作者：
Nessler,JeffA;Spargo,Tavish;Craig-Jones,Andrew;Milton,JohnG
通讯作者：
Milton,JohnG
DOI：
10.1016/s0003-9993(98)90013-2
发表时间：
1998-03-01
影响因子：
4.3
作者：
Kerrigan, DC;Todd, MK;Collins, JJ
通讯作者：
Collins, JJ