2016 ◽  
Vol 34 (11) ◽  
pp. 2833-2837 ◽  
Author(s):  
Qiang Hao ◽  
Qingshan Zhang ◽  
Feihong Chen ◽  
Kangwen Yang ◽  
Heping Zeng

2018 ◽  
Vol 98 ◽  
pp. 56-60 ◽  
Author(s):  
Pan Fu ◽  
Xiao-qiang Feng ◽  
Baole Lu ◽  
Xin-yuan Qi ◽  
Haowei Chen ◽  
...  

2012 ◽  
Vol 18 (2) ◽  
pp. 637-645 ◽  
Author(s):  
Klaus Sponsel ◽  
Christian Stephan ◽  
Georgy Onishchukov ◽  
Bernhard Schmauss ◽  
Gerd Leuchs

Author(s):  
Shihui Lang ◽  
Zhu Hua ◽  
Guodong Sun ◽  
Yu Jiang ◽  
Chunling Wei

Abstract Several pairs of algorithms were used to determine the phase space reconstruction parameters to analyze the dynamic characteristics of chaotic time series. The reconstructed phase trajectories were compared with the original phase trajectories of the Lorenz attractor, Rössler attractor, and Chens attractor to obtain the optimum method for determining the phase space reconstruction parameters with high precision and efficiency. The research results show that the false nearest neighbor method and the complex auto-correlation method provided the best results. The saturated embedding dimension method based on the saturated correlation dimension method is proposed to calculate the time delay. Different time delays are obtained by changing the embedding dimension parameters of the complex auto-correlation method. The optimum time delay occurs at the point where the time delay is stable. The validity of the method is verified through combing the application of correlation dimension, showing that the proposed method is suitable for the effective determination of the phase space reconstruction parameters.


2000 ◽  
Vol 18 (7) ◽  
pp. 1007-1017 ◽  
Author(s):  
Jianjun Yu ◽  
Xueyan Zheng ◽  
C. Peucheret ◽  
A.T. Clausen ◽  
H.N. Poulsen ◽  
...  

2018 ◽  
Vol 57 (18) ◽  
pp. 5068 ◽  
Author(s):  
Shangming Ou ◽  
Guanyu Liu ◽  
Liang Guo ◽  
Zhigang Zhang ◽  
Qingmao Zhang

2011 ◽  
Vol 28 (12) ◽  
pp. 124204 ◽  
Author(s):  
Guo-Liang Chen ◽  
Chun Gu ◽  
Li-Xin Xu ◽  
An-Ting Wang ◽  
Hai Ming

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