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A new characteristic index of chaos

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  • Luo, Chuanwen
  • Wang, Chuncheng
  • Wei, Junjie

Abstract

In this paper, k step chaometry (k SCM) is defined based on monopolized sphere and instantaneous chaometry (ICM), and the convergent theorem of asymptotical periodic orbit is also proved. The 400 SCM of the discrete model of Lorenz system is calculated and results disclose that 400 SCM can clearly identify the parameters of chaotic dynamic system. The EEG instrument is applied to measure time series of EEG, and it is observed that the instantaneous chaometry of the EEG and the data generated from Lorenz attractor produce similar results.

Suggested Citation

  • Luo, Chuanwen & Wang, Chuncheng & Wei, Junjie, 2009. "A new characteristic index of chaos," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1831-1838.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:4:p:1831-1838
    DOI: 10.1016/j.chaos.2007.06.049
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    1. Thomas C. Halsey & Mogens H. Jensen, 2004. "Hurricanes and butterflies," Nature, Nature, vol. 428(6979), pages 127-128, March.
    2. T. M. Fromhold & A. Patanè & S. Bujkiewicz & P. B. Wilkinson & D. Fowler & D. Sherwood & S. P. Stapleton & A. A. Krokhin & L. Eaves & M. Henini & N. S. Sankeshwar & F. W. Sheard, 2004. "Chaotic electron diffusion through stochastic webs enhances current flow in superlattices," Nature, Nature, vol. 428(6984), pages 726-730, April.
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    Cited by:

    1. Luo, Chuanwen & Yi, Chundi & Wang, Gang & Li, Longsuo & Wang, Chuncheng, 2009. "The mathematical description of uniformity and related theorems," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2748-2753.
    2. Luo, Chuanwen & Wang, Gang & Wang, Chuncheng & Wei, Junjie, 2009. "A new interpretation of chaos," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1294-1300.

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