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Chaos Synchronization and Cryptography for Secure Communications

Book Description

Over the past few decades, there has been numerous research studies conducted involving the synchronization of dynamical systems with several theoretical studies and laboratory experimentations demonstrating the pivotal role for this phenomenon in secure communications. Chaos Synchronization and Cryptography for Secure Communications: Applications for Encryption explores the combination of ordinary and time delayed systems and their applications in cryptographic encoding. This innovative publication presents a critical mass of the most sought after research, providing relevant theoretical frameworks and the latest empirical research findings in this area of study.

Table of Contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Book Series
  5. Editorial Advisory Board and List of Reviewers
    1. Editorial Advisory Board
    2. List of Reviewers
  6. Dedication
  7. Foreword
  8. Preface
  9. Acknowledgment
  10. Section 1: Chaotic Dynamical Systems, Theory and Experiments
    1. Chapter 1: Dynamical Systems and Their Chaotic Properties
      1. ABSTRACT
      2. 1. INTRODUCTION
    2. Chapter 2: Chaotic Dynamical Systems Associated with Tilings of RN
      1. ABSTRACT
      2. 1 INTRODUCTION
      3. 2 CHAOTIC DYNAMICAL SYSTEMS AND REGULAR TILINGS OF R
      4. 3 SYNCHRONIZATION AND INFORMATION RECOVERING
    3. Chapter 3: Identification and State Observation of Uncertain Chaotic Systems Using Projectional Differential Neural Networks
      1. Abstract
      2. 1. Introduction
      3. 2. Chaotic Systems and its Approximation by Artificial Neural Networks
      4. 3 Projectional Differential Neural Network Identifier
      5. 4 Projectional Differential Neural Network Observer
      6. 5. CONCLUSION
      7. Appendix (Proof of Theorem 2)
    4. Chapter 4: Simple Chaotic Electronic Circuits
      1. Abstract
      2. 1. Introduction
      3. 2. Chaotic Circuits
      4. 3. Characterization of Strange Attractors
      5. 4. Evaluation of Invariance Parameters
      6. 5. Modification of Strange Attractor
      7. 6. Conclusion
    5. Chapter 5: Experimental Evidences of Shil’nikov Chaos and Mixed-Mode Oscillation in Chua Circuit
      1. Abstract
      2. 1. Introduction
      3. 2. Experimental Set Up: Asymmetric Chua’s Circuit
      4. 3. Homoclinic Chaos and Bursting
      5. 4. Mixed Mode Oscillation
      6. 5. Conclusion
  11. Section 2: Synchronization of Chaotic
Systems
    1. Chapter 6: Synchronization of Chaotic Oscillators
      1. ABSTRACT
      2. INTRODUCTION
      3. CHAOTIC OSCILLATORS AND SYNCHRONIZATION LAYOUTS
      4. IDENTICAL AND GENERALIZED SYNCHRONIZATION
      5. PHASE AND LAG SYNCHRONIZATION
      6. AMPLITUDE ENVELOPE SYNCHRONIZATION
      7. MARGINAL SYNCHRONIZATION OF CHAOS
      8. COMMENTS AND CONCLUSION
    2. Chapter 7: Synchronization in Integer and Fractional Order Chaotic Systems
      1. Abstract
      2. 1. Synchronization in Integer Order Chaotic Systems
      3. 2. Synchronization in Fractional Order Chaotic Systems
      4. 3. Synchronization between Two Different Fractional Order Chaotic Systems
    3. Chapter 8: Chaos Synchronization
      1. ABSTRACT
      2. INTRODUCTION
      3. CHAOS SYNCHRONIZATION
      4. COMPLETE SYNCHRONIZATION (CS):
      5. LAG SYNCHRONIZATION (LS):
      6. ANTICIPATED SYNCHRONIZATION (AS):
      7. GENERALIZED SYNCHRONIZATION (GS)
      8. PHASE SYNCHRONIZATION (PS)
      9. ERROR FEEDBACK SYNCHRONIZATION
      10. NON-ADAPTIVE CONTROL METHODS OF SYNCHRONIZATION
      11. A TYPICAL SYNCHRONIZATION ALGORITHM BASED ON SLIDING MODE CONTROL (ETEMADI ET AL., 2006)
      12. ADAPTIVE CONTROL METHODS OF SYNCHRONIZATION
      13. A TYPICAL ADAPTIVE ALGORITHM FOR DETERMINISTIC SYSTEMS
      14. A TYPICAL ADAPTIVE ALGORITHM FOR STOCHASTIC SYSTEMS
      15. Dual and Multi-Synchronization of Chaos
      16. A Linear Control Algorithm for Multi-Synchronization of Chaos (Salarieh, and Shahrokhi, 2009)
      17. CONCLUSION
    4. Chapter 9: Chaotic Gyros Synchronization
      1. ABSTRACT
      2. INTRODUCTION
      3. DESCRIPTION OF NONLINEAR GYRO SYSTEMS
      4. CHAOS SYNCHRONIZATION CONTROL DESIGN
      5. SIMULATION RESULTS
      6. CONCLUSION
    5. Chapter 10: Importance of Chaos Synchronization on Technology and Science
      1. ABSTRACT
      2. IDENTICAL MASTER-SLAVE SYNCHRONIZATION
      3. OBSERVER BASED SYNCHRONIZATION
      4. OBSERVER BASED CONTROLLER
      5. APPLICATIONS TO CHAOS COMMUNICATIONS
      6. APPLICATION TO SYNCHRONIZATION OF BIOLOGICAL SYSTEMS
    6. Chapter 11: Synchronization of Oscillators
      1. ABSTRACT
      2. INTRODUCTION
      3. FUNDAMENTALS OF THE SYNCHROIZATION
      4. Synchronization of Periodic Oscillations
      5. Synchronization with Two Coupled Oscillators
      6. COUPLING CONFIGURATIONS
      7. CHAOTIC SYNCHRONIZATION
      8. SYNCHRONIZATION AND STABILITY
      9. SYNCHRONIZATION AND NOISE
      10. CONCLUSION
      11. APPENDIX
    7. Chapter 12: Synchronization of Uncertain Neural Networks with H∞ Performance and Mixed Time-Delays
      1. ABSTRACT
      2. INTRODUCTION
      3. PROBLEM DESCRIPTION
      4. MAIN RESULTS
      5. UNCERTAINTY CHARACTERIZATION
      6. NUMERICAL RESULTS
      7. CONCLUSION
      8. APPENDIX
    8. Chapter 13: Adaptive Synchronization in Unknown Stochastic Chaotic Neural Networks with Mixed Time-Varying Delays
      1. ABSTRACT
      2. INTRODUCTION
      3. LAG SYNCHRONIZATION OF STOCHASTIC UNKNOWN CHAOTIC NEURAL NETWORKS WITH MIXED TIME-VARYING DELAYS BY STATE COUPLING
      4. 3. SYNCHRONIZATION OF STOCHASTIC UNKNOWN CHAOTIC NEURAL NETWORKS WITH MIXED TIME-VARYING DELAYS BY OUTPUT COUPLING
      5. NUMERICAL SIMULATIONS
      6. CONCLUSION
    9. Chapter 14: Type-2 Fuzzy Sliding Mode Synchronization
      1. ABSTRACT
      2. INTRODUCTION
      3. PROBLEM FORMULATION AND SYSTEM DESCRIPTION
      4. BRIEF DESCRIPTION OF INTERVAL TYPE-2 FUZZY LOGIC SYSTEM
      5. SYNCHRONIZATION USING INTERVAL TYPE-2 FUZZY SLIDING MODE CONTROL
      6. SIMULATION EXAMPLE
      7. CONCLUSION
  12. Section 3: Cryptographic Applications
    1. Chapter 15: Secure Transmission of Analog Information Using Chaos
      1. Abstract
      2. 1. Introduction
      3. 2. Base Band Experiments on Speech and Music Signal Transmission Using Chaos
      4. 3. RF Band Communications: The Structure of the Communication System
      5. 4. Mathematical Model and Computer Simulation of the System
      6. 5. Experiments
      7. 6. Conclusion
    2. Chapter 16: Control-Theoretical Concepts in the Design of Symmetric Cryptosystems
      1. Abstract
      2. 1 Introduction
      3. 2 Background on Cryptography
      4. 3 Chaos-Based Permutations and Substitutions
      5. 4 Symmetric Chaotic Cryptosystems
      6. 5 Comparative Study and Connection
      7. 6 Conclusion
    3. Chapter 17: Unmasking Optical Chaotic Cryptosystems Based on Delayed Optoelectronic Feedback
      1. Abstract
      2. INTRODUCTION
      3. ONE-DELAY CHAOTIC SIGNAL GENERATOR: NUMERICAL SIMULATIONS
      4. ONE-DELAY CHAOTIC SIGNAL GENERATOR: EXPERIMENTS
      5. TWO-DELAY CHAOTIC SIGNAL GENERATOR: NUMERICAL SIMULATIONS
      6. CONCLUSION
      7. Acknowledgment
    4. Chapter 18: Encryption of Analog and Digital Signals Through Synchronized Chaotic System
      1. Abstract
      2. 1 Introduction
      3. 2 Chaos-Based Analog and Digital Communication Techniques
      4. 3 Chaos-Based Cryptography
      5. Conclusion
    5. Chapter 19: Digital Information Transmission Using Discrete Chaotic Signal
      1. Abstract
      2. 1. INTRODUCTION
      3. 2. SYNCHRONIZATION
      4. 3. CIRCUIT FOR CHAOTIC SYGNAL TRANSMISSION
      5. 4. ENHANCED SECURITY SCHEME
      6. 5. CONCLUDING REMARKS
    6. Chapter 20: Mathematical Treatment for Constructing a Countermeasure Against the One-Time Pad Attack on the Baptista Type Cryptosystem
      1. Abstract
      2. 1.0 Introduction
      3. 2.0 Background: The Baptista Type Cryptosystem
      4. 3.0 Background: The One-Time Pad Attack
      5. 4.0 Conditions for Counter Measures Against the One-Time Pad Attack
      6. 5.0 Example of the Countermeasure: The Modified Baptista Type Chaotic Cryptosystem via Matrix Secret Key
      7. 7.0 Cryptanalysis Using Alvarez’s One-Time Pad Attack (Chosen Plaintext Attack)
      8. 8.0 Result and Its Significance
      9. Acknowledgment
    7. Chapter 21: Chaos Synchronization with Genetic Engineering Algorithm for Secure Communications
      1. Abstract
      2. 1. Chaos Synchronization and Cryptography
      3. 2. Chaos and Evolutionary Algorithm Based Secure Communication
      4. 1. Transmitter Section
      5. 2. Recovery of Plaintext
      6. 3. Simulation Result and Analysis
      7. 4. Conclusion and Future Work
  13. Compilation of References
  14. About the Contributors