Title :
PWL approximation of the Hindmarsh-Rose neuron model in view of its circuit implementation
Author :
Bizzarri, Federico ; Linaro, Daniele ; Storace, Marco
Author_Institution :
Biophys. & Electron. Eng. Dept., Univ. of Genoa, Genoa
Abstract :
A two-dimensional piecewise-linear approximation of the Hindmarsh-Rose neuron model is obtained, in view of its circuit implementation. The obtained approximation is checked by varying two bifurcation parameters. The brute-force two-dimensional bifurcation diagram of the original model is compared with the one of the piecewise-linear approximation, showing that the approximation is able to reproduce the main qualitative behaviours (quiescency, spiking, bursting, chaotic dynamics) of the original model.
Keywords :
approximation theory; neural nets; piecewise linear techniques; 2D piecewise-linear approximation; Hindmarsh-Rose neuron model; PWL approximation; bifurcation parameters; brute-force 2D bifurcation diagram; chaotic dynamics; circuit implementation; Bifurcation; Biological control systems; Biological system modeling; Chaos; Circuit analysis computing; Computer networks; Computer simulation; Concurrent computing; Neurons; Piecewise linear techniques;
Conference_Titel :
Circuit Theory and Design, 2007. ECCTD 2007. 18th European Conference on
Conference_Location :
Seville
Print_ISBN :
978-1-4244-1341-6
Electronic_ISBN :
978-1-4244-1342-3
DOI :
10.1109/ECCTD.2007.4529737
