Title :
Analysis of hindmarsh-rose neuron model and novel circuitry realisation
Author :
Gotthans, Tomas ; Petrzela, Jiri ; Hrubos, Zdenek
Author_Institution :
Dept. of Radio Electron., Brno Univ. of Technol., Brno, Czech Republic
Abstract :
The Hindmarsh-Rose neural model of a single neuron was synthesized into a novel circuitry realization. First the differential equations describing the system were analysed from the chaos point of view. Then the system was synthesised into a circuit and was supported and verified by a measurement. The measurement proved spiking and bursting behaviour and also the presence of a chaos. The presence of the chaos was also verified by the Lyapunov exponents.
Keywords :
Lyapunov methods; chaos; differential equations; integrated circuit modelling; neural nets; Hindmarsh-Rose neuron model; Lyapunov exponents; bursting behaviour; chaos; circuitry realisation; differential equations; spiking behavior; Approximation methods; Chaos; Equations; Integrated circuit modeling; Mathematical model; Neurons; Transient analysis; Hindmarsh-Rose; Lyapunov exponents; Neuron; chaos; chaotic flow; circuit synthesis;
Conference_Titel :
Mixed Design of Integrated Circuits and Systems (MIXDES), 2011 Proceedings of the 18th International Conference
Conference_Location :
Gliwice
Print_ISBN :
978-1-4577-0304-1
