The state space reconstruction technology of different kinds of chaotic data obtained from dynamical system

被引：4
作者：
Chen Yushu
Ma Junhai
Liu Zengrong
机构：
[1] Tianjin University,Dept. of Mechanics
[2] Southeast University,Institute of Systems Engineering
[3] Shanghai University,Dept. of Mathematics
来源：
Acta Mechanica Sinica | 1999年 / 15卷 / 1期
关键词：
nonlinear chaotic data; embedding space matrix; eigenvalue and eigenvector; state space reconstruction;
D O I：
10.1007/BF02487904
中图分类号：
学科分类号：
摘要：
Certain deterministic nonlinear systems may show chaotic behavior. We consider the motion of qualitative information and the practicalities of extracting a part from chaotic experimental data. Our approach based on a theorem of Takens draws on the ideas from the generalized theory of information known as singular system analysis. We illustrate this technique by numerical data from the chaotic region of the chaotic experimental data. The method of the singular-value decomposition is used to calculate the eigenvalues of embedding space matrix. The corresponding concrete algorithm to calculate eigenvectors and to obtain the basis of embedding vector space is proposed in this paper. The projection on the orthogonal basis generated by eigenvectors of timeseries data and concrete paradigm are also provided here. Meanwhile the state space reconstruction technology of different kinds of chaotic data obtained from dynamical system has also been discussed in detail.
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页码：82 / 92
页数：10
相关论文
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