IEEE Circuits and Systems Magazine - Q2 2018 - 18
I (KA)
400
(20, 332.82)
Slope at Origin = 81 S (Stable Red dc V-I Curve)
Slope at Origin = 961 S (Unstable Green
dc V-I Curve)
Stable Branch
200
Slope at Origin = 2.4 KS (Stable Blue
dc V-I Curve)
(16, 67.6)
Slope at Origin = 6.56 KS (Unstable Magenta
dc V-I Curve)
Stable Branch
Slope at Origin = 11.88 KS (Stable Purple
dc V-I Curve)
Stable Branch
-20
-10
(-9, 0)
(11, 4.4)
0
(-20, -2.42)
10
V (V )
20
0.15
(-9, -14.4)
Locally Active Region
-9 V < V < -3 V
I (KA)
0.075
V (V )
-9
-8 -7 -6
-5 -4
-3
(-6.955 V, -29.086 A)
(-7.045 V,
-26.926 A)
(-14, -126.35)
-150
Slope = -24 S
-2
-1
0
-0.075
-0.15
Figure 4. dc V-I curve of the 4-lobe chua corsage memristor over the input voltage range - 20 V # V # 20 V. Observe the curve
is contiguous and contains 4 distinct hysteresis lobes. nonlinear scaling of i-axis is used to fit all branches of the dc V-I curves
in same figure. Points on the solid branches represent stable (hence, observable) DC operating points. Points on the dotted
branches represent unstable (hence, unobservable) DC operating points. the left inset shows the conductances value at V = 0 V.
the right inset shows the zoomed diagram of the upper red dc V-I curve over the range - 9 V # V # 0 V. the slope at V = - 7 V
is -24 siemens (calculated from the coordinates at V = - 7.045 V and V = 6.955 V ) .
of a nonlinear device is approximated with linear equations. Similar to standard electronic circuit theory, the
small-signal equivalent circuit is derived about an equilibrium point (V, I ) by applying the Taylor series and the
Laplace transform, as shown in Fig. 5(a). Let V and I
be the DC voltage and current of the 4-lobe Chua corsage memristor at an equilibrium point Q. The DC state
x = X can be computed numerically by solving the equilibrium equation
18
IEEE cIrcuIts and systEms magazInE
dx = 59 - x + x - 20 - x - 40 + x - 65
dt
- x - 95 + v = g (x, v) = 0
(8)
for x = X where X is a multi-valued function of the DC
voltage V. In particular, for - 9 V < V < 11 V, Fig. 4 shows
there are 5 equilibrium points located at x = X 0, x = X 1,
x = X 2, x = X 3, and x = X 4 . Each of these 5 values of
x would satisfy (8), for each DC voltage V d (- 9, 11) .
sEcOnd quartEr 2018
Table of Contents for the Digital Edition of IEEE Circuits and Systems Magazine - Q2 2018
Contents
IEEE Circuits and Systems Magazine - Q2 2018 - Cover1
IEEE Circuits and Systems Magazine - Q2 2018 - Cover2
IEEE Circuits and Systems Magazine - Q2 2018 - Contents
IEEE Circuits and Systems Magazine - Q2 2018 - 2
IEEE Circuits and Systems Magazine - Q2 2018 - 3
IEEE Circuits and Systems Magazine - Q2 2018 - 4
IEEE Circuits and Systems Magazine - Q2 2018 - 5
IEEE Circuits and Systems Magazine - Q2 2018 - 6
IEEE Circuits and Systems Magazine - Q2 2018 - 7
IEEE Circuits and Systems Magazine - Q2 2018 - 8
IEEE Circuits and Systems Magazine - Q2 2018 - 9
IEEE Circuits and Systems Magazine - Q2 2018 - 10
IEEE Circuits and Systems Magazine - Q2 2018 - 11
IEEE Circuits and Systems Magazine - Q2 2018 - 12
IEEE Circuits and Systems Magazine - Q2 2018 - 13
IEEE Circuits and Systems Magazine - Q2 2018 - 14
IEEE Circuits and Systems Magazine - Q2 2018 - 15
IEEE Circuits and Systems Magazine - Q2 2018 - 16
IEEE Circuits and Systems Magazine - Q2 2018 - 17
IEEE Circuits and Systems Magazine - Q2 2018 - 18
IEEE Circuits and Systems Magazine - Q2 2018 - 19
IEEE Circuits and Systems Magazine - Q2 2018 - 20
IEEE Circuits and Systems Magazine - Q2 2018 - 21
IEEE Circuits and Systems Magazine - Q2 2018 - 22
IEEE Circuits and Systems Magazine - Q2 2018 - 23
IEEE Circuits and Systems Magazine - Q2 2018 - 24
IEEE Circuits and Systems Magazine - Q2 2018 - 25
IEEE Circuits and Systems Magazine - Q2 2018 - 26
IEEE Circuits and Systems Magazine - Q2 2018 - 27
IEEE Circuits and Systems Magazine - Q2 2018 - 28
IEEE Circuits and Systems Magazine - Q2 2018 - 29
IEEE Circuits and Systems Magazine - Q2 2018 - 30
IEEE Circuits and Systems Magazine - Q2 2018 - 31
IEEE Circuits and Systems Magazine - Q2 2018 - 32
IEEE Circuits and Systems Magazine - Q2 2018 - 33
IEEE Circuits and Systems Magazine - Q2 2018 - 34
IEEE Circuits and Systems Magazine - Q2 2018 - 35
IEEE Circuits and Systems Magazine - Q2 2018 - 36
IEEE Circuits and Systems Magazine - Q2 2018 - 37
IEEE Circuits and Systems Magazine - Q2 2018 - 38
IEEE Circuits and Systems Magazine - Q2 2018 - 39
IEEE Circuits and Systems Magazine - Q2 2018 - 40
IEEE Circuits and Systems Magazine - Q2 2018 - 41
IEEE Circuits and Systems Magazine - Q2 2018 - 42
IEEE Circuits and Systems Magazine - Q2 2018 - 43
IEEE Circuits and Systems Magazine - Q2 2018 - 44
IEEE Circuits and Systems Magazine - Q2 2018 - 45
IEEE Circuits and Systems Magazine - Q2 2018 - 46
IEEE Circuits and Systems Magazine - Q2 2018 - 47
IEEE Circuits and Systems Magazine - Q2 2018 - 48
IEEE Circuits and Systems Magazine - Q2 2018 - 49
IEEE Circuits and Systems Magazine - Q2 2018 - 50
IEEE Circuits and Systems Magazine - Q2 2018 - 51
IEEE Circuits and Systems Magazine - Q2 2018 - 52
IEEE Circuits and Systems Magazine - Q2 2018 - 53
IEEE Circuits and Systems Magazine - Q2 2018 - 54
IEEE Circuits and Systems Magazine - Q2 2018 - 55
IEEE Circuits and Systems Magazine - Q2 2018 - 56
IEEE Circuits and Systems Magazine - Q2 2018 - 57
IEEE Circuits and Systems Magazine - Q2 2018 - 58
IEEE Circuits and Systems Magazine - Q2 2018 - 59
IEEE Circuits and Systems Magazine - Q2 2018 - 60
IEEE Circuits and Systems Magazine - Q2 2018 - 61
IEEE Circuits and Systems Magazine - Q2 2018 - 62
IEEE Circuits and Systems Magazine - Q2 2018 - 63
IEEE Circuits and Systems Magazine - Q2 2018 - 64
IEEE Circuits and Systems Magazine - Q2 2018 - 65
IEEE Circuits and Systems Magazine - Q2 2018 - 66
IEEE Circuits and Systems Magazine - Q2 2018 - 67
IEEE Circuits and Systems Magazine - Q2 2018 - 68
IEEE Circuits and Systems Magazine - Q2 2018 - 69
IEEE Circuits and Systems Magazine - Q2 2018 - 70
IEEE Circuits and Systems Magazine - Q2 2018 - 71
IEEE Circuits and Systems Magazine - Q2 2018 - 72
IEEE Circuits and Systems Magazine - Q2 2018 - 73
IEEE Circuits and Systems Magazine - Q2 2018 - 74
IEEE Circuits and Systems Magazine - Q2 2018 - 75
IEEE Circuits and Systems Magazine - Q2 2018 - 76
IEEE Circuits and Systems Magazine - Q2 2018 - 77
IEEE Circuits and Systems Magazine - Q2 2018 - 78
IEEE Circuits and Systems Magazine - Q2 2018 - 79
IEEE Circuits and Systems Magazine - Q2 2018 - 80
IEEE Circuits and Systems Magazine - Q2 2018 - 81
IEEE Circuits and Systems Magazine - Q2 2018 - 82
IEEE Circuits and Systems Magazine - Q2 2018 - 83
IEEE Circuits and Systems Magazine - Q2 2018 - 84
IEEE Circuits and Systems Magazine - Q2 2018 - 85
IEEE Circuits and Systems Magazine - Q2 2018 - 86
IEEE Circuits and Systems Magazine - Q2 2018 - 87
IEEE Circuits and Systems Magazine - Q2 2018 - 88
IEEE Circuits and Systems Magazine - Q2 2018 - 89
IEEE Circuits and Systems Magazine - Q2 2018 - 90
IEEE Circuits and Systems Magazine - Q2 2018 - 91
IEEE Circuits and Systems Magazine - Q2 2018 - 92
IEEE Circuits and Systems Magazine - Q2 2018 - 93
IEEE Circuits and Systems Magazine - Q2 2018 - 94
IEEE Circuits and Systems Magazine - Q2 2018 - 95
IEEE Circuits and Systems Magazine - Q2 2018 - 96
IEEE Circuits and Systems Magazine - Q2 2018 - 97
IEEE Circuits and Systems Magazine - Q2 2018 - 98
IEEE Circuits and Systems Magazine - Q2 2018 - 99
IEEE Circuits and Systems Magazine - Q2 2018 - 100
IEEE Circuits and Systems Magazine - Q2 2018 - 101
IEEE Circuits and Systems Magazine - Q2 2018 - 102
IEEE Circuits and Systems Magazine - Q2 2018 - 103
IEEE Circuits and Systems Magazine - Q2 2018 - 104
IEEE Circuits and Systems Magazine - Q2 2018 - 105
IEEE Circuits and Systems Magazine - Q2 2018 - 106
IEEE Circuits and Systems Magazine - Q2 2018 - 107
IEEE Circuits and Systems Magazine - Q2 2018 - 108
IEEE Circuits and Systems Magazine - Q2 2018 - Cover3
IEEE Circuits and Systems Magazine - Q2 2018 - Cover4
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2023Q3
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2023Q2
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2023Q1
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2022Q4
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2022Q3
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2022Q2
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2022Q1
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2021Q4
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2021q3
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2021q2
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2021q1
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2020q4
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2020q3
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2020q2
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2020q1
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2019q4
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2019q3
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2019q2
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2019q1
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2018q4
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2018q3
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2018q2
https://www.nxtbook.com/nxtbooks/ieee/circuitsandsystems_2018q1
https://www.nxtbookmedia.com