A new characteristic index of chaos

Chuanwen Luo; Chuncheng Wang; Junjie Wei

doi:10.1016/j.chaos.2007.06.049

A new characteristic index of chaos

Chuanwen Luo
, Chuncheng Wang^*
, Junjie Wei

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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.

Original language	English
Pages (from-to)	1831-1838
Number of pages	8
Journal	Chaos, Solitons and Fractals
Volume	39
Issue number	4
DOIs	https://doi.org/10.1016/j.chaos.2007.06.049
State	Published - 28 Feb 2009

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title = "A new characteristic index of chaos",

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.",

author = "Chuanwen Luo and Chuncheng Wang and Junjie Wei",

year = "2009",

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T1 - A new characteristic index of chaos

AU - Luo, Chuanwen

AU - Wang, Chuncheng

AU - Wei, Junjie

PY - 2009/2/28

Y1 - 2009/2/28

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/63449129676

U2 - 10.1016/j.chaos.2007.06.049

DO - 10.1016/j.chaos.2007.06.049

M3 - 文章

AN - SCOPUS:63449129676

SN - 0960-0779

VL - 39

SP - 1831

EP - 1838

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 4

ER -

A new characteristic index of chaos

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