In this paper, we introduce some interesting features of a memristor CNN
(Cellular Neural Network). We first show that there is the similarity between
the dynamics of memristors and neurons. That is, some kind of flux-controlled
memristors can not respond to the sinusoidal voltage source quickly, namely,
they can not switch on' rapidly. Furthermore, these memristors have refractory period after switch on’, which means that it can not respond to further
sinusoidal inputs until the flux is decreased. We next show that the
memristor-coupled two-cell CNN can exhibit chaotic behavior. In this system,
the memristors switch off' and on’ at irregular intervals, and the two cells
are connected when either or both of the memristors switches `on’. We then
propose the modified CNN model, which can hold a binary output image, even if
all cells are disconnected and no signal is supplied to the cell after a
certain point of time. However, the modified CNN requires power to maintain the
output image, that is, it is volatile. We next propose a new memristor CNN
model. It can also hold a binary output state (image), even if all cells are
disconnected, and no signal is supplied to the cell, by memristor’s switching
behavior. Furthermore, even if we turn off the power of the system during the
computation, it can resume from the previous average output state, since the
memristor CNN has functions of both short-term (volatile) memory and long-term
(non-volatile) memory. The above suspend and resume feature are useful when we
want to save the current state, and continue work later from the previous
state. Finally, we show that the memristor CNN can exhibit interesting
two-dimensional waves, if an inductor is connected to each memristor CNN cell.

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