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Chin. Phys. B, 2018, Vol. 27(3): 030503    DOI: 10.1088/1674-1056/27/3/030503
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Reconstruction of dynamic structures of experimental setups based on measurable experimental data only

Tian-Yu Chen(陈天宇)1, Yang Chen(陈阳)1, Hu-Jiang Yang(杨胡江)1, Jing-Hua Xiao(肖井华)1, Gang Hu(胡岗)2
1 School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China;
2 Department of Physics, Beijing Normal University, Beijing 100875, China

Nowadays, massive amounts of data have been accumulated in various and wide fields, it has become today one of the central issues in interdisciplinary fields to analyze existing data and extract as much useful information as possible from data. It is often that the output data of systems are measurable while dynamic structures producing these data are hidden, and thus studies to reveal system structures by analyzing available data, i.e., reconstructions of systems become one of the most important tasks of information extractions. In the past, most of the works in this respect were based on theoretical analyses and numerical verifications. Direct analyses of experimental data are very rare. In physical science, most of the analyses of experimental setups were based on the first principles of physics laws, i.e., so-called top-down analyses. In this paper, we conducted an experiment of “Boer resonant instrument for forced vibration” (BRIFV) and inferred the dynamic structure of the experimental set purely from the analysis of the measurable experimental data, i.e., by applying the bottom-up strategy. Dynamics of the experimental set is strongly nonlinear and chaotic, and it's subjects to inevitable noises. We proposed to use high-order correlation computations to treat nonlinear dynamics; use two-time correlations to treat noise effects. By applying these approaches, we have successfully reconstructed the structure of the experimental setup, and the dynamic system reconstructed with the measured data reproduces good experimental results in a wide range of parameters.

Keywords:  dynamics      inverse problem      data analysis  
Received:  30 November 2017      Revised:  04 January 2018      Accepted manuscript online: 
PACS:  05.45.Tp (Time series analysis)  
  05.45.-a (Nonlinear dynamics and chaos)  
Corresponding Authors:  Jing-Hua Xiao, Gang Hu     E-mail:;

Cite this article: 

Tian-Yu Chen(陈天宇), Yang Chen(陈阳), Hu-Jiang Yang(杨胡江), Jing-Hua Xiao(肖井华), Gang Hu(胡岗) Reconstruction of dynamic structures of experimental setups based on measurable experimental data only 2018 Chin. Phys. B 27 030503

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