| Acknowledgments | 7 |
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| Contents | 8 |
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| About the Authors | 13 |
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| Abbreviations | 19 |
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| Introduction | 21 |
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| 1 Deterministic Chaos Phenomenon from the Standpoint of Information Protection Tasks | 27 |
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| 1.1 Principles and Concepts of the Classical Cryptology as the Traditional Strategy of Information Protection | 27 |
| 1.2 The Optical Vortex as a Product of the Beam Perturbation and the Data Carrier in the Communication System | 33 |
| 1.3 Examples of Dynamic Systems in Radiophysics and Optics with Complicated Behavior | 35 |
| 1.3.1 Examples of Radio Physical Systems with Complicated Behavior | 35 |
| 1.3.2 Designs of Nonlinear Elements | 47 |
| 1.3.3 The Nonlinear Ring Interferometer as an Example of the Optical System with Complex Behavior | 51 |
| 1.4 Principles of Information Protection by the Deterministic Chaos | 56 |
| 1.4.1 General Schemes and Functioning Principles of the Confidential Communication Systems in the Mode of the Dynamic Chaos | 60 |
| 1.4.2 Examples of Radio Physical Systems for Information Protection | 72 |
| 1.4.3 Examples of the Application of Deterministic Chaos in Optical System of the Confidential Communication | 75 |
| 1.4.4 Influence of Disturbing Factors on the Characteristics of the Data Transmission System | 80 |
| 1.4.5 Classification of Communication Systems Using the Dynamic Chaos | 85 |
| 1.5 Conclusions | 87 |
| 2 Radiophysical and Optical Chaotic Oscillators Applicable for Information Protection | 97 |
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| 2.1 The Radio-Electronic Oscillator of the Deterministic Chaos with Nonlinearity in the Form of Parabola Compositions | 97 |
| 2.1.1 The Structure and the Mathematical Model of the Oscillator | 97 |
| 2.1.2 The Nonlinear Element: A Structure, a Mathematical Description | 101 |
| 2.1.3 Analysis of Equilibrium State Stability in the Model of the Deterministic Chaos Oscillator | 103 |
| 2.2 Simulation of Static and Dynamic Modes of the Deterministic Chaos Oscillator | 106 |
| 2.2.1 Stability of Equilibrium States | 106 |
| 2.2.2 Operating Modes in the Deterministic Chaos Oscillator | 112 |
| 2.3 Modes and Scenarios of Transitions to Chaotic Oscillations in the Radio-Frequency Oscillator of Deterministic Chaos | 118 |
| 2.3.1 The Breadboard of Deterministic Chaos Oscillator | 118 |
| 2.3.2 Transition to the Chaos Through the Period Doubling Bifurcation | 121 |
| 2.3.3 Transition to the Chaos Through Intermittency | 122 |
| 2.3.4 Transition to the Chaos Through a Collapse of Two-Frequency Oscillating Mode | 125 |
| 2.3.5 Transition to the Chaos Through a “Semi-Torus” Collapse | 127 |
| 2.3.6 Bifurcation Diagrams | 131 |
| 2.4 The Ring Interferometer with the Kerr Nonlinear Medium and Its Modifications as the Deterministic Chaos Oscillators | 134 |
| 2.4.1 Mathematical Models of Processes in the Nonlinear Ring Interferometer | 134 |
| 2.4.2 Double-Circuit Nonlinear Ring Interferometer and Models of Processes in It | 153 |
| 2.4.3 Dynamics in the Ring Interferometer Models | 166 |
| 2.4.4 The Nonlinear Fiber-Optical Interferometer | 176 |
| 2.4.5 The Double-Circuit NRI and Structurally Connected NRIs: Prospects for Chaos Generating and Data Processing | 182 |
| 2.5 Conclusions | 186 |
| References | 187 |
| 3 Radio Electronic System for Data Transmission on the Base of the Chaotic Oscillator with Nonlinearity in the form of Parabola Composition: Modeling and Experiment | 193 |
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| 3.1 Description of the Data Transmission System | 193 |
| 3.1.1 The Structure of the Data Transmission System on the Base of the Chaotic Oscillator, Its Mathematical Model, and a Quality Criteria | 193 |
| 3.1.2 Temperature Dependence of the Transfer Characteristics of the Nonlinear Element | 198 |
| 3.1.3 Temperature Compensation in the Voltage Limiter on the Shottky Diodes and a Choice of the Nonlinear Element Parameters | 202 |
| 3.2 Numerical Modeling of the Data Transmission System Operation | 207 |
| 3.2.1 Lack of the Coincidence Influence of the Transmitter and Receiver Parameters on the Data Transmission Quality | 209 |
| 3.2.2 Temperature Mismatching Influence of the Transmitter and the Receiver on Data Transmission Quality | 214 |
| 3.2.3 The Role of Noises, Filtering, Level-Discretization in the Communication Channel | 219 |
| 3.2.4 From Bias Voltage Manipulation in the Oscillator of the Deterministic Chaos to Transmission and Reception of Digital Signals | 221 |
| 3.3 Description and Characteristics of the Chaotic Communication System Breadboard, Experimental Reception-Transmission of Analog, Digital and Video Signals | 225 |
| 3.3.1 The Breadboard of the Data Transmission System | 226 |
| 3.3.2 SNR Measurement in the Laboratory Experiment at Mismatching of the Transmitter and the Receiver Parameters | 229 |
| 3.4 Experimental Operation Studying of the Communication System with the Complete Chaotic Synchronization | 230 |
| 3.4.1 Transmission and Reception of Analog, Digital and Video Signals | 231 |
| 3.4.2 Influence of Data Transmission System Parameters on SNR | 234 |
| 3.5 Conclusions | 238 |
| References | 239 |
| 4 Single- and Double-Circuit Nonlinear Ring Interferometer as a Cipherer in Optical Systems of Synchronous Chaotic Communications | 240 |
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| 4.1 Confident Communication System Based on NRI | 242 |
| 4.1.1 Substantiation of the Recovering
|