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1 | (20) |
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1.1 Linear, Nonlinear, and Chaos |
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1 | (1) |
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2 | (2) |
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1.3 Famous Scientists and Important Events |
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4 | (5) |
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1.3.1 Lorenz and Butterfly Effect |
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4 | (1) |
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1.3.2 Li Tien-Yien and the Concept of Chaos |
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5 | (1) |
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1.3.3 Feigenbaum and Feigenbaum Constant |
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6 | (1) |
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1.3.4 Leon Ong Chua and Chua's Circuit |
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7 | (1) |
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1.3.5 Guanrong Chen and Chen's Attractor |
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8 | (1) |
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1.4 Definition and Characteristics of Chaos |
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9 | (1) |
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1.5 Overview of Chaos Synchronization Method |
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10 | (5) |
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1.5.1 Chaos Synchronization Methods and Characteristics |
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11 | (3) |
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1.5.2 Other Synchronization Methods and Problems |
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14 | (1) |
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1.6 Summary of Chaos Secure Communication |
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15 | (3) |
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1.6.1 Chaotic Analog Communication |
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16 | (1) |
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1.6.2 Chaotic Digital Communication |
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16 | (1) |
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1.6.3 Encryption Communication based on Chaotic Sequence |
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17 | (1) |
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1.7 Chaos Research Methods and Main Research Contents |
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18 | (3) |
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20 | (1) |
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2 Characteristic Analysis Methods for Nonlinear System |
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21 | (20) |
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2.1 Phase Diagram Analysis Method |
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21 | (1) |
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2.2 Power Spectral Analysis Method |
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22 | (2) |
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2.3 Poincare Section Method |
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24 | (1) |
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2.4 Lyapunov Characteristic Exponent Method |
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25 | (5) |
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2.4.1 Definition of Lyapunov Characteristic Exponent |
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25 | (2) |
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2.4.2 Lyapunov Exponent Spectrum |
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27 | (1) |
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2.4.3 Physical Meaning of Lyapunov Exponent |
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27 | (2) |
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2.4.4 Condition Lyapunov Exponent |
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29 | (1) |
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2.5 Fractal Dimension Analysis Method |
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30 | (1) |
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30 | (3) |
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2.6.1 0--1 Test Algorithm |
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30 | (2) |
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2.6.2 Improved 0--1 Test Algorithm |
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32 | (1) |
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2.6.3 Application of 0--1 Test Algorithm |
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33 | (1) |
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2.7 Dividing Frequency Sampling Method |
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33 | (1) |
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2.8 Pseudo-Phase Space Method |
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34 | (1) |
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2.9 Complexity Measure Algorithm |
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35 | (6) |
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2.9.1 Spectral Entropy Complexity Algorithm |
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36 | (2) |
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2.9.2 Co Complexity Algorithm |
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38 | (2) |
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40 | (1) |
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3 Typical Chaotic Systems |
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41 | (25) |
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3.1 Discrete-Time Chaotic Map |
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41 | (6) |
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41 | (3) |
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44 | (1) |
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44 | (2) |
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3.1.4 Tangent Delay-Ellipse Reflecting Cavity System Map |
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46 | (1) |
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3.2 Continuous-Time Chaotic System |
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47 | (15) |
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48 | (1) |
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3.2.2 van der Pol Oscillator |
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49 | (1) |
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49 | (1) |
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50 | (1) |
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51 | (4) |
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55 | (1) |
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55 | (2) |
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3.2.8 Unified Chaotic System |
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57 | (2) |
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3.2.9 Simplified Lorenz System |
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59 | (3) |
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3.2.10 Standard for a New Chaotic System |
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62 | (1) |
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62 | (4) |
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3.3.1 Rossler Hyperchaotic System |
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62 | (1) |
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3.3.2 Chen Hyperchaotic System |
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63 | (1) |
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3.3.3 Folded Towel Hyperchaotic Map |
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64 | (1) |
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65 | (1) |
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4 Chaotic Synchronization Principle and Method |
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66 | (59) |
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4.1 Definition of Chaos Synchronization |
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66 | (1) |
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4.2 Performance Index of Chaotic Synchronization System |
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67 | (2) |
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4.3 Principle and Performance of Feedback Control Synchronization |
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69 | (15) |
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4.3.1 Multivariable drive feedback synchronization for chaotic system |
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69 | (4) |
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4.3.2 Linear and Nonlinear Feedback Synchronization for Discrete Chaotic System |
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73 | (11) |
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4.4 Parameter Adaptive Synchronization Based on Pecora--Carroll Synchronization Criterion |
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84 | (4) |
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4.4.1 Principle for Adaptive Synchronization |
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84 | (1) |
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4.4.2 Choose Control Law and Control Parameters |
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85 | (1) |
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4.4.3 Determine the Boundary and Range of the Control Constant |
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86 | (1) |
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4.4.4 Simulation Results and Discussion |
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87 | (1) |
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4.5 Adaptive Synchronization Control Based on Lyapunov Stable Theory |
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88 | (6) |
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4.5.1 Adaptive Synchronization Control with Certain Parameter |
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88 | (3) |
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4.5.2 Adaptive Synchronization Control with Uncertain Parameters |
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91 | (3) |
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4.6 Intermittent Feedback Synchronization Control |
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94 | (5) |
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4.6.1 Intermittent Synchronization Control between Different Systems |
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94 | (3) |
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4.6.2 Synchronization Simulation and Performance Analysis |
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97 | (2) |
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4.7 Synchronization Control Based on State Observer Method |
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99 | (5) |
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4.7.1 Design Principle of State Observer |
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99 | (2) |
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4.7.2 Design of State Observer for Unified Chaotic System |
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101 | (1) |
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4.7.3 Simulation and Discussion |
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101 | (3) |
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4.8 Chaos Synchronization Based on Chaos Observer |
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104 | (4) |
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4.8.1 Design Principle of Chaos Observer |
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104 | (1) |
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4.8.2 Chaos Observer of the Unified Chaotic System |
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105 | (1) |
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4.8.3 Synchronization Simulation and Performance Analysis |
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106 | (2) |
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4.9 Projective Synchronization |
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108 | (15) |
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4.9.1 Principle and Simulation of Proportional Projection Synchronization |
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109 | (4) |
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4.9.2 Principle and Simulation of Function Projective Synchronization |
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113 | (3) |
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4.9.3 Principle and Simulation of the Adaptive Function Projective Synchronization |
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116 | (7) |
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4.10 Problems and Development of Chaos Synchronization |
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123 | (2) |
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124 | (1) |
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5 Secure Communication Technology Based on Chaos Synchronization |
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125 | (39) |
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5.1 Chaotic Masking Communication |
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125 | (5) |
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5.2 Chaos Shift Keying Communication |
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130 | (15) |
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131 | (1) |
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132 | (5) |
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137 | (2) |
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5.2.4 FM-DCSK Communication |
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139 | (1) |
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140 | (5) |
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5.3 Chaos Parameter Modulation |
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145 | (3) |
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5.4 Chaotic Spread Spectrum Communication |
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148 | (16) |
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5.4.1 Principle of Chaotic DS/SS Communication |
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148 | (2) |
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5.4.2 Generation of Chaotic Spread Spectrum Code |
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150 | (2) |
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5.4.3 Simulation Module Design of Multiuser Chaotic Spread Spectrum System |
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152 | (6) |
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5.4.4 Design and Simulation of Multiuser Chaotic Spread Spectrum System Based on Rake Receiver |
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158 | (1) |
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5.4.5 Performance Analysis of Multiuser Chaotic Spread Spectrum System Based on Rake Receiver |
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159 | (4) |
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163 | (1) |
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6 Data Encryption Based on Chaotic Sequence |
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164 | (42) |
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164 | (4) |
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6.1.1 Traditional Cryptography |
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164 | (2) |
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6.1.2 Relationship between Chaos Cryptography and Traditional Cryptography |
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166 | (1) |
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6.1.3 Principle of Chaos Sequence Encryption |
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167 | (1) |
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6.2 Data Encryption Algorithm Based on Chaotic Sequence |
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168 | (8) |
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6.2.1 Basic Requirements of Chaotic Encryption Algorithm |
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168 | (2) |
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6.2.2 Logistic Map and Its Statistics |
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170 | (1) |
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6.2.3 Chaotic Encryption Model and Algorithm |
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170 | (2) |
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6.2.4 Implement of Encryption Algorithm Based on Chaotic Sequence |
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172 | (3) |
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6.2.5 System Performance Analysis |
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175 | (1) |
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6.3 Binary Watermark Image Encryption Algorithm Based on Chaos |
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176 | (6) |
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6.3.1 Improvement of Chaotic Pseudo-Random Sequence Generator |
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178 | (1) |
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6.3.2 Binary Watermark Image Encryption Algorithm Based on TD-ERCS Map |
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178 | (1) |
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6.3.3 Performance Analysis of Encryption Algorithm |
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179 | (3) |
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6.4 Color Image Watermarking Algorithm Based on Chaotic Map and Wavelet Transform |
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182 | (14) |
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6.4.1 Wavelet Transformation Algorithm and Its Application |
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183 | (3) |
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6.4.2 Design and Implementation of Watermark Embedding and Extraction Algorithm |
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186 | (4) |
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6.4.3 Simulation and Performance Analysis |
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190 | (6) |
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6.5 Chaotic Image Encryption Algorithm |
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196 | (10) |
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6.5.1 Chaos-Based Image Encryption Technology |
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196 | (3) |
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6.5.2 A New Chaotic Image Encryption Scheme |
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199 | (6) |
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205 | (1) |
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7 Audio and Video Chaotic Encryption and Communication Technology |
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206 | (32) |
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7.1 Principle of Real-Time Voice Encryption Communication |
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206 | (4) |
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7.1.1 Principle of Digital Encryption Communication System |
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206 | (2) |
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7.1.2 Real-Time Voice Encryption and Communication System |
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208 | (1) |
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7.1.3 Cipher Synchronization Technology |
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209 | (1) |
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7.2 Real-Time Data Stream Encryption Algorithm |
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210 | (6) |
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7.2.1 3DES Encryption Algorithm |
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210 | (1) |
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7.2.2 Encryption Algorithm Based on 3DES and Chaotic Map |
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211 | (2) |
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7.2.3 Network Synchronization Method |
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213 | (2) |
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7.2.4 Security Analysis of Real-Time Voice Encryption System |
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215 | (1) |
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7.3 Realization of Real-Time Voice Encryption System |
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216 | (8) |
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7.3.1 Structure of Real-Time Voice Encryption System |
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216 | (2) |
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7.3.2 Real-Time Transmission Protocol and Its Data Structure |
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218 | (2) |
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7.3.3 Implementation of RTP Based on Adaptive Communication Environment |
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220 | (2) |
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7.3.4 System Debugging and Performance Testing |
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222 | (2) |
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7.4 MPEG Video Encryption Algorithm Based on Chaotic Sequence |
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224 | (8) |
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7.4.1 Encryption Principle and Procedure of MPEG Video Data |
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225 | (1) |
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7.4.2 Design of Stream Cipher Based on Chaos |
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226 | (3) |
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7.4.3 Design of Scrambling Algorithm Based on Chaos |
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229 | (1) |
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7.4.4 Encryption Experiment and Encryption Effect Analysis |
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229 | (1) |
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7.4.5 Performance Analysis of MPEG Video Encryption System |
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230 | (2) |
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7.5 H.264 Video Encryption Algorithm Based on Chaos |
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232 | (6) |
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7.5.1 Chaotic Stream Cipher Based on Tangent Delay-Ellipse Reflecting Cavity System |
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233 | (1) |
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7.5.2 H.264 Video Encryption Scheme |
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233 | (3) |
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7.5.3 Performance Analysis of Video Encryption |
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236 | (1) |
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237 | (1) |
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8 Analysis and Simulation of Fractional-Order Chaotic System |
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238 | (36) |
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8.1 Development of Fractional-Order Chaotic System |
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238 | (3) |
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8.2 Definition and Physical Meaning of Fractional Calculus |
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241 | (2) |
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8.3 Solution Methods of Fractional-Order Chaotic System |
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243 | (8) |
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8.3.1 Frequency Domain Method for Solving Fractional-Order Chaotic System |
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243 | (4) |
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8.3.2 Time Domain Method for Solving Fractional-Order Chaotic System |
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247 | (4) |
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8.4 Simulation Method for Fractional-Order Chaotic System |
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251 | (8) |
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8.4.1 Dynamic Simulation Method for Fractional-Order Chaotic System |
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251 | (2) |
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8.4.2 Circuit Simulation Method of Fractional-Order Chaotic System |
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253 | (3) |
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8.4.3 Numerical Simulation Method of Fractional-Order Chaotic System |
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256 | (2) |
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8.4.4 Comparison of Simulation Methods |
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258 | (1) |
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8.5 Dynamics of Fractional-Order Unified System Based on Frequency Domain Method |
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259 | (7) |
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8.5.1 Fractional-Order Unified Chaotic System Mode |
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259 | (1) |
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8.5.2 Dynamic Simulation of Fractional-Order Unified Chaotic System |
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260 | (1) |
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8.5.3 Dynamics of Fractional-Order Unified System with Fixed Parameter |
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261 | (3) |
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8.5.4 Dynamics of Fractional-Order Unified System with Different Parameter |
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264 | (2) |
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8.6 Dynamics of Fractional-Order Diffusionless Lorenz System Based on Time Domain Method |
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266 | (8) |
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8.6.1 Fractional-Order Diffusionless Lorenz System Model |
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266 | (1) |
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8.6.2 Chaotic Characteristic of Fractional-Order Diffusionless Lorenz System |
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267 | (1) |
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8.6.3 Bifurcation Analysis with Varying System Parameter R |
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268 | (1) |
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8.6.4 Bifurcation Analysis with Varying Fractional Order q |
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269 | (1) |
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8.6.5 Bifurcations with Different Fractional Order |
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270 | (2) |
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272 | (2) |
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9 Simulation and Hardware Implementation of Chaotic System |
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274 | (21) |
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9.1 Dynamic Simulation of Chaotic System |
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274 | (2) |
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9.1.1 Dynamic Simulation Steps on Simulink |
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274 | (2) |
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9.1.2 Simulation Result Analysis and Performance Improvement |
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276 | (1) |
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9.2 Circuit Simulation of Chaotic System |
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276 | (1) |
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9.3 Design of Chaotic Analog Circuit |
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277 | (5) |
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9.3.1 Procedure of Chaotic Circuit Design |
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277 | (2) |
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9.3.2 Modular Design of Chaotic Circuit |
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279 | (1) |
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9.3.3 Basic Components of Chaotic Circuit |
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279 | (3) |
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9.4 Improved Modular Design of Chaotic Circuit |
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282 | (5) |
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9.4.1 Design of Multiscroll Jerk Circuit Based on OA |
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283 | (1) |
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9.4.2 Design of Multiscroll Jerk Circuit Based on CC |
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283 | (3) |
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9.4.3 Multiscroll Jerk Circuit Implementation |
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286 | (1) |
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9.5 Digital Signal Processor Design and Implementation of Chaotic Systems |
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287 | (8) |
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9.5.1 DSP Experimental Platform of Chaotic System |
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287 | (3) |
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9.5.2 DSP Implementation of Integer-Order Chaotic System |
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290 | (2) |
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9.5.3 DSP Implementation of Fractional-Order Chaotic System |
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292 | (2) |
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294 | (1) |
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Appendix A Important Academic Journals in the Field of Chaos |
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295 | (1) |
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Appendix B Matlab Source Programs of Chaos Characteristic Analysis |
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296 | (27) |
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B.1 Mode of the Simplified Lorenz System |
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296 | (1) |
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B.2 Programs about Characteristic Analysis of Integer-Order Simplified Lorenz System |
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297 | (11) |
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B.2.1 Simulation Codes for Matlab Toolbox with Runge--Kutta Algorithm |
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297 | (1) |
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B.2.2 Solution Based on Euler and Runge--Kutta Algorithm |
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297 | (3) |
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B.2.3 Program of Calculating LE |
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300 | (3) |
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B.2.4 Program of Calculating the Maximum LE |
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303 | (1) |
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B.2.5 Program for Calculating Bifurcation Diagram |
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304 | (1) |
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B.2.6 Program for Plotting Poincare Section |
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305 | (2) |
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B.2.7 Program for 0--1 Test |
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307 | (1) |
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B.3 Solution Program for the Fraction-Order Simplified Lorenz System |
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308 | (8) |
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B.3.1 Solution Program Based on Predictor-Corrector Approach |
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308 | (1) |
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B.3.2 Solution Program Based on Adomian Decomposition Approach |
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309 | (3) |
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B.3.3 Analysis Program of Complexity and Chaos Diagram |
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312 | (4) |
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B.4 Simulation of Chaotic Synchronization |
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316 | (7) |
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B.4.1 Drive-Response Synchronization |
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316 | (2) |
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B.4.2 Coupling Synchronization |
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318 | (2) |
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B.4.3 Tracking Synchronization |
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320 | (3) |
References |
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323 | (8) |
Index |
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331 | |