| A network of neural oscillation given by David Terman is discussed in this paper. This network is constructed with excitatory, fast inhibitory, and slow inhibitory cells. Under the assumptions: (1) e1- e3 - e2 pathway is slower than e1 -f1- e2 , but e1 - e2 pathway is faster than e1, - f1 - e2 ,(2) the excitable cells connect, with tree-like structure, (3) slow inhibition cell fires whenever excitable cell fires, and every excitable cell is inhibited by slow inhibition; we give the technical methods for finding out the periodical solution of the given network of neural oscillation by using Mathlab.
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