Discrete Dynamical Systems and Chaotic Machines: Theory and Applications

ISBN-13: 9780367379940 / Angielski / Miękka / 2019 / 230 str.

Jacques Bahi; Christophe Guyeux

Opis

Until the authors’ recent research, the practical implementation of the mathematical theory of chaos on finite machines raised several issues. This self-contained book 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.

Spis treści

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.

O autorze

Bahi, Jacques; Guyeux, Christophe