Title :
Complex data analysis of the Hindmarsh-Rose model at specific parameters
Author :
Jia, Qiuju ; Chen, Zengqiang
Author_Institution :
Dept. of Autom., Nankai Univ., Tianjin, China
Abstract :
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.
Keywords :
Lyapunov methods; approximation theory; bifurcation; correlation methods; data analysis; entropy; neural nets; nonlinear control systems; nonlinear dynamical systems; Hindmarsh-Rose model; approximate entropy; bifurcation scenario; chaotic method; complex data analysis; correlation dimension; maximum Lyapunov exponent; neuron behavior; nonlinear dynamics; Bifurcation; Biological system modeling; Biomembranes; Chaos; Entropy; Neurons; Time series analysis; Hindmarsh-Rose model; approximate entropy; bifurcation; complex data analysis; correlation dimension;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2010 8th World Congress on
Conference_Location :
Jinan
Print_ISBN :
978-1-4244-6712-9
DOI :
10.1109/WCICA.2010.5554720
