The name is absent



27


The linearized synaptic input in (2.30) has the form

-⅞ynaptic(^, ʃ; f⅛)

δ{x - Xba).


To complete the linearization process, we equate the terms of order ε and arrive at

c Fc

∂tvb = T>bvb + Kb(x)υb + 52 ΣL dbcj(x)wbcf + Ль

c=l /=1

∂twbcf(t) = φbcf(x)vb + ψbcf(x)wbcf,

where

ɪ l-'                                         ɪ kjb

КьИ = ~^-∑ Gbc(τ)Fbc(0) -      ∑9bsδ(x ~ ¾)

m c=l                      m s=l

1 _ Fc
dbcf(x) = -γr-Gbc(x)(υb - Ec)qcfwqbccff ɪ ɪɪ ¾

___1_

r∣b 2πabC,


sb

∑gbs(t')δ(x - xbs)(υb - Ebs)
s=l

Φbcf(β'')


wc∕,∞(^⅛)
τcf(υb) ,


Mx}=^⅛)'


It is now apparent that this is a linear system for the 6th branch, namely



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