A new characteristic index of chaos |
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| Authors: | Chuanwen Luo Chuncheng Wang Junjie Wei |
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| Affiliation: | 1. Department of Computer Science and Technology, North University of China, Taiyuan, Shan’xi 030051, People’s Republic of China;2. Complex Systems Research Center, Shanxi University, Taiyuan, Shan’xi 030006, People’s Republic of China |
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| 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. |
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