Analysis And Control Of The Chaos Of Ghostburster Model

The nerve cell is a classic nonlinear system, which includes abundant dynamic characteristic. Under the external stimulation, different models have their own bursting. The perturbation of stimulation may result in the change of neuronal state, and this bifurcation of the biology system has close relations with diseases like Parkinson disease, epilepsy or pathological heart rhythms, etc. Thus, the analysis and control of the nerve cell is of great significant.In this paper, we take the model of the pyramidal cell in the electrosensory lateral line lobe (ELL) of weakly electric fish as study object, which describes the dynamic characteristic on the both soma and dendrite. After theoretical analysis and simulation we analyze its phenomenon by choosing the applied current which is the synaptic one flowing into the somatic compartment as the bifurcation parameter. Then, we discuss the relationship between the system parameter and the location of the bifurcation parameter and we've found that the difference between two bifurcation parameter affect the number of spikes during the bursting. In the last, we choose Wash-out filter as a controller to force the dynamical system form the periodic firing to the chaotic bursting. The easy measurable of membrane voltage makes such a kind of analysis a meaningful research.The simulation results verify the analysis and methods are all accurate and can lead a new way toward clinical usage.