The design and its implementation of the bursting in BVP oscillator

摘要

Bursting observed in nerve membranes is regarded to be important when the information representation problem in brain is considered. Until now, various bursting responses are illustrated in the mathematical model, and accordingly their related bifurcation mechanisms have been clarified. In this paper, we propose an oscillator showing bursting response with a simple circuitry, the circuit equation is represented as a BvP(FitzHugh-Nagumo)model equation. Firstly we investigate bifurcation structure in the autonomous system. Then an effective and reasonable perturbation of the external force to this bifurcation structure to generate various bursting responses. Secondly we show various burst oscillations are observed by changing the frequency and amplitude of sinusoidal wave. Finally we show a laboratory experiments of the circuit.