438
Index
P
Physical approach, 3
Physical device, 3
Planar oscillator, 141
Pn-junction diode, 11, 12
Pulse, 296
constant momentum, 296
finite-time duration, 296
time-varying momentum, 296
Pulse programming
memristor memcapacitor circuit, 395
R
Reduced-order dynamics, 297
Chua’s oscillator with memristor, 256
memristor capacitor circuit, 228
memristor memcapacitor circuit, 392
M − L − C circuit, 245
Relaxation oscillator with memristor, 239
Resistance, 5, 10
small-signal, 11
RLC network, 113
S
Spiral chaotic attractor
in memristor circuit, 303
State equations (SEs), 113
autonomous, 113
conditions for existence, 128
non-autonomous, 114
State equations of mem-element circuits
flux-charge domain, 408
voltage-current domain, 408
State equations of memristor circuits
flux-charge domain, 198
class N D
N R , 289
voltage-current domain, 202
class N D
N R , 290
State equations of RLC circuits
first-order
linear, 115
nonlinear, 120
n-th order, nonlinear, 125
second-order
linear, 115
nonlinear, 121
State variables, 113
voltage-current domain, 115
memcapacitor, 402
meminductor, 403
State variables of memristor circuits
flux-charge domain, 201
voltage-current domain, 205
Structural stability of non-isolated equilibrium
points, 224, 225
Synapse, 88
Synchronization, 319
T
Tableau analysis
differential algebraic equations, 109, 198
memristor circuits, 282
flux-charge domain, 198
voltage-current domain, 202
RLC circuits
cut-set equations, 109
loop equations, 109
nodal equations, 109
Tellegen’s theorem
flux-charge domain, 181
voltage-current domain, 107
Thermistor, 55
ThrEshold Adaptive Memristor (TEAM)
model, 67
Time-varying elements, 191
Tree, 102
Tunnel diode, 12
characteristic, 136
Twig, 102
U
Unique solvability assumption, 118
V
Van der Pol oscillator, 141
flux-charge domain, 245
Varactor diode, 13
Voltage, 4
higher order derivatives and integrals
(v (α) ), 6
Voltage momentum (flux), 7
W
Wye-delta transformation, 112