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author:

Xiang, Zheng (Xiang, Zheng.) [1] | Zhang, Taiyi (Zhang, Taiyi.) [2] | Sun, Jiancheng (Sun, Jiancheng.) [3]

Indexed by:

EI Scopus

Abstract:

A new strategy of modelling of chaotic systems is presented. First, more information is acquired utilizing the reconstructed embedding phase space. Then, based on the Recurrent Least Squares Support Vector Machines (RLS-SVM), modelling of the chaotic system is realized. We use the power spectrum and dynamic invariants involving the Lyapunov exponents and the correlation dimension as enterions, and then apply our method to the Chua's circuit time series. The simulation of dynamic invariants between the origin and generated time series shows that the proposed method can capture the dynamics of the chaotic time series effectively. © Springer-Verlag Berlin Heidelberg 2005.

Keyword:

Chaos theory Least squares approximations Mathematical models Spectrum analysis Time series analysis Vectors

Community:

  • [ 1 ] [Xiang, Zheng]Dept. of Information and Communication Eng., Xi'an Jiaotong University, Xi'an, Shaanxi, China
  • [ 2 ] [Xiang, Zheng]School of Telecommunication Engineering, Xidian Univ., Xi'an, Shaanxi, China
  • [ 3 ] [Zhang, Taiyi]Dept. of Information and Communication Eng., Xi'an Jiaotong University, Xi'an, Shaanxi, China
  • [ 4 ] [Sun, Jiancheng]College of Physics and Information Eng., Fuzhou University, Fuzhou, Fujian, China

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Source :

ISSN: 0302-9743

Year: 2005

Issue: PART I

Volume: 3610

Page: 573-581

Language: English

0 . 4 0 2

JCR@2005

0 . 4 0 2

JCR@2005

JCR Journal Grade:4

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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