Discrete Dynamical Systems and Chaotic Machines

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A01=Christophe Guyeux
A01=Jacques Bahi
advanced cryptographic techniques
Author_Christophe Guyeux
Author_Jacques Bahi
Category=PBCD
chaos-based security in wireless networks
Chaotic Dynamical System
Chaotic Iterations
Chaotic Machines
Chaotic Strategy
Compact Metric Space
computer security applications
Data Hiding
Data Hiding Scheme
Devaney's Chaos
Devaney’s Chaos
DieHard Battery
digital steganography methods
Discrete Dynamical Systems
entropy
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
exponent
finite state machine modeling
Hash Functions
iterations
lyapunov
mathematical chaos theory
metric
Metrical Conjugacy
network
Pass Pass
Pass Pass Pass
Pass Pass Pass Pass
pseudorandom number generation
Secure Data Aggregation
sensor
Sensor Networks
Sensor Nodes
space
topological
Topological Conjugacy
Topological Entropy
Topological Security
Topological Space
Turing Machine
Watermarking Scheme
wireless
Wireless Sensor Networks

Product details

  • ISBN 9780367379940
  • Weight: 326g
  • Dimensions: 156 x 234mm
  • Publication Date: 23 Sep 2019
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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For computer scientists, especially those in the security field, the use of chaos has been limited to the computation of a small collection of famous but unsuitable maps that offer no explanation of why chaos is relevant in the considered contexts. Discrete Dynamical Systems and Chaotic Machines: Theory and Applications shows how to make finite machines, such as computers, neural networks, and wireless sensor networks, work chaotically as defined in a rigorous mathematical framework. Taking into account that these machines must interact in the real world, the authors share their research results on the behaviors of discrete dynamical systems and their use in computer science.

Covering both theoretical and practical aspects, the book presents:



  • Key mathematical and physical ideas in chaos theory


  • Computer science fundamentals, clearly establishing that chaos properties can be satisfied by finite state machines


  • Concrete applications of chaotic machines in computer security, including pseudorandom number generators, hash functions, digital watermarking, and steganography


  • Concrete applications of chaotic machines in wireless sensor networks, including secure data aggregation and video surveillance


Until the authors’ recent research, the practical implementation of the mathematical theory of chaos on finite machines raised several issues. This self-contained book illustrates how chaos theory enables the study of computer security problems, such as steganalysis, that otherwise could not be tackled. It also explains how the theory reinforces existing cryptographically secure tools and schemes.

Bahi, Jacques; Guyeux, Christophe

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