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A stabilization control method combined with the unscented Kalman filter (UKF) is proposed to control bifurcations in Hodgkin–Huxley neuronal system which are highly related to the occurrence of many dynamical diseases. In neuronal system, usually only the membrane potential can be measured with noise, thus the existing bifurcation controllers, which require exact information of all system states,...
Diverse behaviors of the original Hodgkin–Huxley (HH) model, depending on the parameter values, have been studied extensively. This paper proposes modified HH equations exposed to externally applied extremely low frequency (ELF) electric fields. We investigate the effect of the DC electric fields on the dynamics of the modified HH model using bifurcation analysis. The obtained bifurcation sets partition...
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