Discrete Dynamical Systems and Chaotic Machines

Theory and Applications

Jacques Bahi, Christophe Guyeux

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English

CRC Press
23 September 2019

Mathematical logic; Differential calculus & equations; Algorithms & data structures; Computer science

Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series

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.

By: Jacques Bahi, Christophe Guyeux
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 326g
ISBN: 9780367379940
ISBN 10: 0367379945
Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series
Pages: 230
Publication Date: 23 September 2019
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Paperback
Publisher's Status: Active

Bahi, Jacques; Guyeux, Christophe