Chua's circuit implementations: yesterday, today, and tomorrow

Contents......Page 10
Preface......Page 8
1.1 Introduction......Page 13
1.2 Genesis of the Chua’s circuit......Page 18
1.3 From RLC to Chua’s circuit......Page 22
1.4 Dimensionless Chua’s equations......Page 26
1.5.1 Parameter values for the Double Scroll Chua’s Attractor......Page 27
1.5.2 Equilibrium points of the Chua’s circuit......Page 28
1.5.3 Stability of the equilibrium points......Page 29
1.5.4 General considerations on the behavior on each of the three regions D1, D0 and D-1......Page 30
1.5.5 Qualitative description of the dynamics in D1 (or D-1)......Page 31
1.5.7 The double scroll attractor......Page 32
1.5.8 Rigorous proof of chaos in the Chua’s circuit......Page 33
1.6 Bifurcations of the Chua’s circuit......Page 35
1.7 The Chua’s oscillator......Page 39
1.8.1 Sinusoidal forcing in the Chua’s circuit......Page 50
1.8.2 Hyperchaos in the Chua’s circuit......Page 52
1.8.3 The Chua’s circuit with a smooth nonlinearity......Page 54
1.8.4 The n-scroll chaotic attractor......Page 55
1.9 Control of the Chua’s circuit......Page 56
1.10 Synchronization of Chua’s circuits......Page 63
2.1 Circuits based on operational amplifiers......Page 73
2.2 Implementation of a negative resistance......Page 78
2.3 Implementation of the five segment nonlinearity......Page 80
2.4 Implementation of the NR characteristic with diodes......Page 81
2.5 Two implementations of the Chua’s circuit......Page 83
2.6 Other implementations of the Chua’s diode......Page 86
3.1 Brief overview on CNN architectures......Page 89
3.3 CNN-based implementation of the Chua’s circuit......Page 92
3.4 Improved cell realization for SC-CNN based Chua’s circuit......Page 94
3.5 SC-CNN-based implementation of the Chua’s oscillator......Page 98
4.1 Model......Page 103
4.2 Experimental results......Page 105
5.1 The nonlinear photo-controlled device......Page 113
5.2 The photo-controlled Chua’s circuit......Page 115
5.3 Experimental results......Page 116
6. Programmable Chua’s circuit......Page 125
6.1 The Development System......Page 126
6.2 Anadigm Software Development Tool......Page 127
6.3 Design of the Chua’s circuit......Page 128
6.4 Circuit implementation and experimental results......Page 129
7. Switched capacitor-based Chua’s circuit......Page 137
7.1 Design of the switched capacitor Chua’s circuit......Page 138
7.2 Simulation results and layout of the circuit......Page 141
7.3 Experimental results......Page 142
7.4 A cell to experimentally characterize discretely-coupled Chua’s circuits......Page 143
8.1 Model......Page 149
8.2 Implementation......Page 153
8.3 Chua’s circuit and the memristor......Page 155
9. The organic Chua’s circuit......Page 157
9.1 The OTFT device......Page 158
9.2 Implementation of the Organic Chua’s Circuit......Page 160
9.2.1 Saturation Block......Page 162
9.2.2 Transconductance Amplifier Block......Page 163
9.2.3 Negative Current Block......Page 164
9.3 Experimental Results......Page 165
10. Applications of the Chua’s circuit......Page 171
10.1 Chaos does help motion control......Page 172
10.1.1 Motion control......Page 173
10.1.2 Experimental results......Page 176
10.3 Chaotic Pulse Position Modulation to improve the efficiency of Sonar Sensors......Page 179
10.3.1 Continuous Chaotic Pulse Position Modulation......Page 181
10.3.2 The CPPM Sonar......Page 184
10.3.3 Experimental results......Page 185
11. Conclusions......Page 191
11.1 Scheme of the book......Page 193
Critical bibliography......Page 195
Bibliography......Page 205
Index of the implementations......Page 219
Index......Page 221