The non-linear chaotic model reconstruction for the experimental data obtained from different dynamic system

Applied Mathematics and Mechanics (English Edition)

Volumn 20, Issue 11, 1999, Pages 1214-1221

  Ma, Junhai ^a,c   Chen, Yushu ^b   Liu, Zengrong ^a  

^a TIANJIN UNIVERSITY OF FINANCE AND ECONOMICS   (China)

^b TIANJIN UNIVERSITY   (China)

^c SHANGHAI UNIVERSITY   (China)

Author keywords

Chaotic model; Chaotic timeseries; Lyapunov exponent; Non linear; Oarameter identification

Indexed keywords

CHAOS THEORY; COMPUTER SIMULATION; DATA STRUCTURES; FRACTALS; LYAPUNOV METHODS; MATHEMATICAL MODELS; TIME SERIES ANALYSIS;

CHAOTIC TIME SERIES; DYNAMIC SYSTEM; EXPERIMENTAL DATA; FRACTAL DIMENSION; LYAPUNOV EXPONENT; NONLINEAR CHAOTIC MODEL; PARAMETER IDENTIFICATION; PARAMETRIC ADAPTIVE CONTROL;

DYNAMICS;

EID: 0033224003     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02463789     Document Type: Article

References (13)

1. Wu Ya, Yang Shuzi. Application of several timeseries models in prediction[A] . Applied Time Series Analysis[M] . Beijing: World Scientific Publishing, 1989.
2. Chen C H. Applied Timeseries Analysis [M] . Beijing: World Scientific Publishing Cor, 1989.
3. Yang Shuzi, Wu Ya. Applied Timeseries Analysis in Engineering[M]. Beijing: World Scientific Publishing Cor, 1992.
4. Ma Junhai, Chen Yushu, Liu Zengrong. The threshold value for diagnosis of chaotic nature of the data obtained i nonlinear dynamic analysis [J]. Applied Mathematics and Mechanics ( English Ed), 1998,19(6) : 513 - 520.
5. Nerenberg M A H. Correlation dimension and systematic geometric effects[J] . Phys Rev A ,1990,42(6):7065 - 7674.
6. Alan Wolf, et al. Determining Lyapunov exponent from a timeseries[J] . Phys D.1985, 16(9) :285- 317.
7. Mess AI, et al. Singular-value decomposition and embedding dimension[J]. Phys Rev A,1987,36(l):340-347.
8. Ma Junhai. Tlie Non-Linear Dynamic System Reconstruction of the Chaotic Timeseries, A Tliesis for Degree of Engineering[D] . Tianjin: Tianjin University, 1997,5. (in Chinese)
9. Zhang Qinghua. Wavelet networks[j]. IEE Transections on Neural Net\vorks,l992,6 (11):889-898.
10. Liang Yuecao. Predicting chaotic timeseries with wavelet networks[j]. Phys. D ,1995, 85(8) :225- 238
11. Dean Prichard. Generating surrogate date for time series with several simultaneously measured variables[ J]. Phys Rev Lett, 1994,191(7) -.230 - 245.
12. Davies M E. Reconstructing attractions from filtered time series[J] . Phys D, 1997,101: 195-206.
13. Alexet Potapov. Distortions of reconstruction for chaotic attractors[J] . Phys D, 1997,101 (5):207-226.