6.2 Second-Order Memristor Oscillators
251
Fig. 6.23 Circuit with
flux-controlled memristor,
resistor, inductor, and
capacitor
Fig. 6.24 Equivalent circuit in the (ϕ, q)-domain
literature as a prototypical circuit for studying dynamic phenomena in memristor
circuits [7, 12, 14].
The equivalent circuit in the (ϕ, q)-domain is shown in Fig. 6.24. Applying KqL
and KϕL, and then listing the CRs, we obtain
q L (t; t 0 ) = q C (t; t 0 ) + q M (t; t 0 )
q L (t; t 0 ) = q R (t; t 0 )
ϕ R (t; t 0 ) + ϕ L (t; t 0 ) + ϕ M (t; t 0 ) = 0
ϕ C (t; t 0 ) = ϕ M (t; t 0 )
and
ϕ R (t; t 0 ) = Rq R (t; t 0 )
q C (t; t 0 ) = C
dϕ C (t; t 0 )
dt
− q C 0