Bifurcation Diagram of Chaotic Neuron



As a single neuron model, we use

u(t+1)=0.7u(t)-0.9x(t)+a
x(t)=1/[1+exp(-u(t)/0.06)]

where u(t) is membrane potential and x(t) is firing rate. This model is called chaos neuron. It yields chaos and the bifurcation phenomenon is observed like logistic map.


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Introduction to Chaos and Nonlinear Dynamics