Discrete Dynamical Systems and Chaotic Machines

Theory and Applications

Jacques Bahi, Christophe Guyeux (Autoren)

Buch | Hardcover

230 Seiten

2013
Crc Press Inc (Verlag)
978-1-4665-5450-4 (ISBN)

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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

An Introduction to Chaos: Classical Examples by Way of Introduction. The Mathematical Theory of Chaos: Definitions and Notations. Devaney’s Formulation of Chaos. Other Formulations of Chaos. From Theory to Practice: A Fundamental Tool: the Chaotic Iterations. Theoretical Proofs of Chaotic Machines. Applications of Chaos in the Computer Science Field: Information Security. Wireless Sensor Networks. Conclusion: Conclusion. Bibliography. Index.

Reihe/Serie	Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series
Verlagsort	Bosa Roca
Sprache	englisch
Maße	156 x 234 mm
Gewicht	476 g
Themenwelt	Informatik ► Theorie / Studium ► Algorithmen
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	1-4665-5450-9 / 1466554509
ISBN-13	978-1-4665-5450-4 / 9781466554504
Zustand	Neuware