Chaos Synchronization and Cryptography for Secure Communications: Applications for Encryption

Chaos Synchronization and Cryptography for Secure Communications: Applications for Encryption

Santo Banerjee (Politecnico di Torino, Italy)
Release Date: July, 2010|Copyright: © 2011 |Pages: 596
ISBN13: 9781615207374|ISBN10: 1615207376|EISBN13: 9781615207381|DOI: 10.4018/978-1-61520-737-4


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.

Topics Covered

The many academic areas covered in this publication include, but are not limited to:

  • Chaos synchronization on technology and science
  • Delayed optoelectronic feedback
  • Dynamical systems
  • Mathematical treatment for constructing a countermeasure
  • Optical chaotic cryptosystems
  • Projectional differential neural networks
  • Secure transmission of analog information
  • Simple chaotic electronic circuits
  • State observation of uncertain chaotic systems
  • Symmetric cryptosystems
  • Synchronization of chaotic oscillators

Table of Contents and List of Contributors

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Editorial Advisory Board
Table of Contents
Lamberto Rondoni
Santo Banerjee
Chapter 1
Kostas Chlouverakis
This chapter describes the fundamental concepts of continuous-time chaotic dynamical systems so as to make the book self-contained and readable by... Sample PDF
Dynamical Systems and their Chaotic Properties
Chapter 2
Lionel Rosier
In this chapter, we consider a class of discrete dynamical systems defined on the homogeneous space associated with a regular tiling of RN, whose... Sample PDF
Chaotic Dynamical Systems Associated with Tilings of RN
Chapter 3
Alejandro García, Isaac Chairez, Alexander Poznyak
The following chapter tackles the nonparametric identification and the state estimation for uncertain chaotic systems by the dynamic neural network... Sample PDF
Identification and State Observation of Uncertain Chaotic Systems Using Projectional Differential Neural Networks
Chapter 4
M.P. Hanias, G. S. Tombras
Simple chaotic electronics circuits as diode resonator circuits, Resistor-Inductor-LED optoelectronic chaotic circuits, and Single Transistor... Sample PDF
Simple Chaotic Electronic Circuits
Chapter 5
Syamal Kumar Dana, Satyabrata Chakraborty
Experimental evidences of Shil’nikov type homoclinic chaos and mixed mode oscillations are presented in asymmetry-induced Chua‘s oscillator. The... Sample PDF
Experimental Evidences of Shil'nikov Chaos and Mixed-mode Oscillation in Chua Circuit
Chapter 6
J. M. González-Miranda
In this chapter, the author reviews the variety of forms that the synchronization of the dynamics of mutually coupled or unidirectionally driven... Sample PDF
Synchronization of Chaotic Oscillators
Chapter 7
Ahmed E. Matouk
In this chapter, the author introduces the basic methods of chaos synchronization in integer order systems, such as Pecora and Carroll method and... Sample PDF
Synchronization in Integer and Fractional Order Chaotic Systems
Chapter 8
Chaos Synchronization  (pages 152-182)
Hassan Salarieh, Mohammad Shahrokhic
Chaos synchronization is the central core of various message encryption methods which are developed based on the properties of chaotic systems. This... Sample PDF
Chaos Synchronization
Chapter 9
M. Roopaei, M. J. Zolghadri, B. S. Ranjbar, S. H. Mousavi, H. Adloo, B. Zare, T. C. Lin
In this chapter, three methods for synchronizing of two chaotic gyros in the presence of uncertainties, external disturbances and dead-zone... Sample PDF
Chaotic Gyros Synchronization
Chapter 10
Ricardo Aguilar-López, Ricardo Femat, Rafael Martínez-Guerra
In this chapter the authors talk about importance of chaos synchronization on technology and science. This chapter is developed in three sections.... Sample PDF
Importance of Chaos Synchronization on Technology and Science
Chapter 11
Jean B. Chabi Orou
A simple approach is proposed in this chapter to get started on the synchronization of oscillators study. The basics are given in the beginning such... Sample PDF
Synchronization of Oscillators
Chapter 12
Hamid Reza Karimi
An exponential H8 synchronization method is addressed for a class of uncertain master and slave neural networks with mixed time-delays, where the... Sample PDF
Synchronization of Uncertain Neural Networks with performance and Mixed Time-Delays
Chapter 13
Jian-an Fang, Yang Tang
Neural networks (NNs) have been useful in many fields, such as pattern recognition, image processing etc. Recently, synchronization of chaotic... Sample PDF
Adaptive Synchronization in Unknown Stochastic Chaotic Neural Networks with Mixed Time-Varying Delays
Chapter 14
T. C. Lin, Ming-Che Chen, M. Roopaei
This chapter presents an adaptive interval type-2 fuzzy neural network (FNN) controller to synchronize chaotic systems with training data corrupted... Sample PDF
Type-2 Fuzzy Sliding Mode Synchronization
Chapter 15
A.S. Dmitriev, E.V. Efremova, L.V. Kuzmin, A.N. Miliou, A.I. Panas, S.O. Starkov
In this work the authors present a thorough experimental study of a practical realization of a complex analog signal transmission system using... Sample PDF
Secure Transmission of Analog Information using Chaos
Chapter 16
Gilles Millérioux, José Maria Amigó
In this chapter, it is shown how control-theoretical concepts can be useful in the design of symmetric cryptosystems. The authors first provide some... Sample PDF
Control-theoretical Concepts in the Design of Symmetric Cryptosystems
Chapter 17
Silvia Ortín, Luis Pesquera
The authors analyze the security of optical chaotic communication systems. The chaotic carrier is generated by a laser diode subject to delayed... Sample PDF
Unmasking Optical Chaotic Cryptosystems Based on Delayed Optoelectronic Feedback
Chapter 18
Kehui Sun
Chaos is characterized by aperiodic, wideband, random-like, and ergodicity. Chaotic secure communication has become one of the hot topics in... Sample PDF
Encryption of Analog and Digital signals through Synchronized Chaotic Systems
Chapter 19
A.N. Anagnostopoulos, A.N. Miliou, S.G. Stavrinides, A.S. Dmitriev, E.V. Efremova
In this work the authors thoroughly investigated a digital information transmission system using discrete chaotic signal over cable. As an example... Sample PDF
Digital Information Transmission using Discrete Chaotic Signal
Chapter 20
M.R.K. Ariffin, M.S.M. Noorani
In 1998, M.S. Baptista proposed a chaotic cryptosystem using the ergodicity property of the simple lowdimensional and chaotic logistic equation.... Sample PDF
Mathematical Treatment for Constructing a countermeasure against the one time pad attack on the Baptista Type Cryptosystem
Chapter 21
Sumona Mukhopadhyay, Mala Mitra, Santo Banerjee
Sumona Mukhopadhyay, Mala Mitra and Santo Banerjee have proposed a method of digital cryptography inspired from Genetic Algorithm(GA) and... Sample PDF
Chaos Synchronization with Genetic Engineering Algorithm for Secure Communications
About the Contributors


In the past decades, the advent of electronic computers and, later, of the network of such computers, presently known as the World Wide Web, has exponentially increased the amount of data exchanged among the most diverse people, areas and organizations, all over the world. This has brought about many advantages to the academic institutions, to the military structures to the financial institutions, to banks and corporations of all sizes, to the public administrations, governments etc. A detailed list of all those interested in the exchange of information over the internet is presently impossible. One simply observes that practically everybody in the industrialized world is directly or indirectly interested in that, while larger and larger fractions of the populations from the emerging economies are rapidly becoming interested in that.

In particular, sensitive information and information protected by privacy laws constitute a large fraction of the total information being transmitted by all forms of telecommunication equipments. Therefore, the development of secure communication has become impelling, in order to prevent an-authorized people from intercepting and embezzling information meant to others.

The most obvious way of achieving this goal is to encrypt the data that is to be transmitted. Among the most promising encrypting techniques, we find those based on chaotic synchronized dynamics, which constitute the subject of the present timely collection of research papers.

Chaos is one type of deterministic, hence in principle fully predictable, dynamic behaviour, which, however, turns out to be as unpredictable as a stochastic process, in practice. This is related to the impossibility of knowing with infinite precision the initial state of the system at hand. Also, a chaotic signal enjoys the characteristics of e.g. aperiodicity.

Interacting chaotic oscillators are of interest in many areas of physics, biology, and engineering. For instance, one challenging problem, faced by the current biological sciences, concerns our understanding of the emergence of collective coherent behaviours, from groups of interacting functional units, separately displaying complicated behaviours. In particular, it is remarkable that chaotic systems can be synchronized letting them communicate only a part of the information concerning their state.

When this phenomenon was discovered, it became immediately clear that it could have been used to create keys for cryptography using the unsent state spaces. Indeed, by using the proper keys, or interactions, the sender may be synchronized with the receiver, and only part of the data needs to be transmitted, for the whole message to be delivered. This significantly reduces the possibility that the message be understood by an-authorized people.

As perfect, 100% secure, ways of encrypting a message may not be realizable, even chaotic synchronization needs to be tested and further developed, while remaining one of the most promising tools for secure communication in the years to come. This makes the present collection of papers especially timely and useful.

Author(s)/Editor(s) Biography

Santo Banerjee (PhD, Physics; 2008) was a senior research associate in Department of Mathematics, Politecnico di Torino, Torino, Italy and also a research scientist in Micro and Nanotechnology Unit in Techfab s.r.l., Chivasso, Italy from 2009-2011. Currently he is a research associate in the Institute for Mathematical Research, UPM, Malaysia. He is also a founder member of the International Science Association (ISCASS), Ankara, Turkey and head of the Department of Complexity and Network Dynamics, ISCASS. He has 11 books and total 75 research articles in the field of Nonlinear Dynamics and its various applications. His current research area includes Chaotic systems, Laser and Plasma, Synchronization, Cryptography, Genetic Engineering and Soft Computing, Social and Neural networks, Non linearity in Management, Econophysics etc. He has organized many international Conferences. He was a keynote speaker in many International Symposiums, also reviewer of more that 30 SCI indexed international journals. He is an editor of "International Journal of Chaos and Complex Systems" (IJCCS) under ISCASS.