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Complex data analysis of the Hindmarsh-Rose model at specific parameters

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2 Author(s)
Qiuju Jia ; Dept. of Autom., Nankai Univ., Tianjin, China ; Zengqiang Chen

Recently, the nonlinear dynamics and chaos phenomenon of many neuron models have been studied. This paper provides a global picture of the bifurcation scenario of the Hindmarsh-Rose model and studies one point of every scenario. We use chaotic method to analyze phase plot, nullclines, entropies and dimensions of the chaotic point, from which we might find some useful mechanisms to understand the characteristics of neuron behaviors. Finally we can find that there are some relationship between the correlation dimension, approximate entropy and the maximum Lyapunov exponent.

Published in:

Intelligent Control and Automation (WCICA), 2010 8th World Congress on

Date of Conference:

7-9 July 2010