74
2 Fundamental Properties of Mem-Elements
Fig. 2.28 (a) Anomalous
circular and hence
non-pinched hysteresis loop.
(b) The same loop becomes a
straight line when plotted in
the (v, x) plane (here we have
x = q)
−2
−1
1
2
−1
1
v = x
x
v
• pinched hysteresis loops don’t have predicting ability because they represent
just the device response to a specific (sinusoidal or periodic) input.
In conclusion, zero-crossing property is a key necessary condition to be
satisfied for any memristor device
If It’s Not Pinched, It’s Not a Memristor!
but
Pinched hysteresis loops are not models (i.e., constitutive relations).
2 Fundamental Properties of Mem-Elements
Fig. 2.28 (a) Anomalous
circular and hence
non-pinched hysteresis loop.
(b) The same loop becomes a
straight line when plotted in
the (v, x) plane (here we have
x = q)
−2
−1
1
2
−1
1
v = x
x
v
• pinched hysteresis loops don’t have predicting ability because they represent
just the device response to a specific (sinusoidal or periodic) input.
In conclusion, zero-crossing property is a key necessary condition to be
satisfied for any memristor device
If It’s Not Pinched, It’s Not a Memristor!
but
Pinched hysteresis loops are not models (i.e., constitutive relations).