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Lyapunov Exponents Calculation and Principal Components Analysis of EEG Data

Cai Cong

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Abstract

The largest Lyapunov exponents were calculated by using new exper iential formula from EEG data. The reconstruction dimension was calculated by ch oosing the correlation dimension as the topologic dimension under the low dimens ion hypothesis of EEG. The calculated results were scaled by producing sampling frequency. The principal component analysis was also provided. Meanwhile the pot ential significance of above calculation and analysis were predicted.

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What this paper is about

The largest Lyapunov exponents were calculated by using new exper iential formula from EEG data. The reconstruction dimension was calculated by ch oosing the correlation dimension as the topologic dimension under the low dimens ion hypothesis of EEG. The calculated results were scaled by producing sampling frequency. The principal component analysis was also provided. Meanwhile the pot ential significance of above calculation and analysis were predicted.

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Available abstract

The largest Lyapunov exponents were calculated by using new exper iential formula from EEG data. The reconstruction dimension was calculated by ch oosing the correlation dimension as the topologic dimension under the low dimens ion hypothesis of EEG. The calculated results were scaled by producing sampling frequency. The principal component analysis was also provided. Meanwhile the pot ential significance of above calculation and analysis were predicted.

Key concepts: Correlation dimension, Principal component analysis, Lyapunov exponent, Dimension (graph theory), Mathematics, Electroencephalography, Sampling (signal processing), Correlation

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