𝔖 Scriptorium
✦   LIBER   ✦

πŸ“

Discrete dynamical systems and chaotic machines: theory and applications

✍ Scribed by Jacques Mohcine Bahi; Christophe Guyeux


Publisher
CRC Press / Taylor & Francis
Year
2013
Tongue
English
Leaves
234
Series
Chapman & Hall/CRC numerical analysis and scientific computing
Category
Library

⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ Synopsis


"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 Read more...

✦ Table of Contents



Content: 1. An introduction to chaos --
2. The mathematical theory of chaos --
3. From theory to practice --
4. Applications of chaos in the computer science field --
5. Conclusion.
Abstract: "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"


πŸ“œ SIMILAR VOLUMES


Discrete Dynamical Systems and Chaotic M
✍ Jacques M. Bahi, Christophe Guyeux πŸ“‚ Library πŸ“… 2013 πŸ› CRC Press 🌐 English

<P>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. <STRONG>Discrete Dynamical Systems and Chaotic M

Positive Dynamical Systems in Discrete T
✍ Krause, Ulrich πŸ“‚ Library πŸ“… 2015 πŸ› de Gruyter 🌐 English

This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a systemare nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of good

Positive Dynamical Systems in Discrete T
✍ Ulrich Krause πŸ“‚ Library πŸ“… 2015 πŸ› De Gruyter 🌐 English

<p>This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of

Positive Dynamical Systems in Discrete T
✍ Ulrich Krause πŸ“‚ Library πŸ“… 2015 πŸ› De Gruyter 🌐 English

<p>This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of

Chaotic Dynamics: Theory and Application
✍ Alfredo Medio, Giampaolo Gallo πŸ“‚ Library πŸ“… 1995 πŸ› Cambridge University Press 🌐 English

This book is a tool for the theoretical and numerical investigation of nonlinear dynamical systems modeled by means of ordinary differential and difference equations. The work is divided into two parts: a book, comprising a theoretical overview of the subject matter and a number of applications; an

Difference Equations, Discrete Dynamical
✍ Martin Bohner, Yiming Ding, OndΕ™ej DoΕ‘lΓ½ (eds.) πŸ“‚ Library πŸ“… 2015 πŸ› Springer International Publishing 🌐 English

<p>These proceedings of the 20th International Conference on Difference Equations and Applications cover the areas of difference equations, discrete dynamical systems, fractal geometry, difference equations and biomedical models, and discrete models in the natural sciences, social sciences and engin