Index
A
Active memristor
cubic characteristic, 229
Admissible (v, i) signal (AVIS) pair, 4
(α, β)-element, 18, 389
Analogy
cellular neural networks and memristor
cellular neural networks, 345
memristor- and RLC-circuits, 192
Analysis domain
flux-charge, 163
Analysis method
flux-charge domain
tableau equations, 198
voltage-current domain
cut-set equations, 109
loop equations, 109
nodal equations, 109
tableau equations, 109
A-pad, 4
Array of Chua’s oscillators, 319
coexisting complex attractors, 334
extreme multistability, 331
flux-charge domain
clusters, 337
limit cycles, 335
phase-locking, 335
synchronization, 332
invariant manifolds, 331
invariant of motion, 331
Associated reference directions, 101
B
Bifurcations
global, 158
Hopf, 152
local, 158
period-doubling, 156
saddle-node, 150
Bifurcations without parameters
circuit with memristor and memcapacitor,
416
from line of equilibrium points, 265
Hopf, 247
mem-element circuits, 410
memristor memcapacitor circuit, 393
period-doubling, 257
pulse-induced, 303
saddle-node, 228
supercritical Hopf, 249
Black-box approach, 3
Branch, 100
C
Capacitance, 13
small-signal, 13
Chaos, 149
Charge, 7
conservation of, 168
incremental, 177
momentum, 19, 389
Chord, 102
Chua’s oscillator, 147
state equations, 158
Chua’s oscillator with memristor, 253, 299
bifurcations on a fixed manifold, 258
coexisting complex attractors, 261
complex dynamics, 303
double-scroll attractor, 303
extreme multistability, 261, 263
© Springer Nature Switzerland AG 2021
F. Corinto et al., Nonlinear Circuits and Systems with Memristors,
https://doi.org/10.1007/978-3-030-55651-8
433
A
Active memristor
cubic characteristic, 229
Admissible (v, i) signal (AVIS) pair, 4
(α, β)-element, 18, 389
Analogy
cellular neural networks and memristor
cellular neural networks, 345
memristor- and RLC-circuits, 192
Analysis domain
flux-charge, 163
Analysis method
flux-charge domain
tableau equations, 198
voltage-current domain
cut-set equations, 109
loop equations, 109
nodal equations, 109
tableau equations, 109
A-pad, 4
Array of Chua’s oscillators, 319
coexisting complex attractors, 334
extreme multistability, 331
flux-charge domain
clusters, 337
limit cycles, 335
phase-locking, 335
synchronization, 332
invariant manifolds, 331
invariant of motion, 331
Associated reference directions, 101
B
Bifurcations
global, 158
Hopf, 152
local, 158
period-doubling, 156
saddle-node, 150
Bifurcations without parameters
circuit with memristor and memcapacitor,
416
from line of equilibrium points, 265
Hopf, 247
mem-element circuits, 410
memristor memcapacitor circuit, 393
period-doubling, 257
pulse-induced, 303
saddle-node, 228
supercritical Hopf, 249
Black-box approach, 3
Branch, 100
C
Capacitance, 13
small-signal, 13
Chaos, 149
Charge, 7
conservation of, 168
incremental, 177
momentum, 19, 389
Chord, 102
Chua’s oscillator, 147
state equations, 158
Chua’s oscillator with memristor, 253, 299
bifurcations on a fixed manifold, 258
coexisting complex attractors, 261
complex dynamics, 303
double-scroll attractor, 303
extreme multistability, 261, 263
© Springer Nature Switzerland AG 2021
F. Corinto et al., Nonlinear Circuits and Systems with Memristors,
https://doi.org/10.1007/978-3-030-55651-8
433