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...
For computer scientists, especially those in the security field, the use of chaos has been limited to the computation of a small collection of famo...
Les itA(c)rations chaotiques, un outil issu des mathA(c)matiques discrA]tes, sont pour la premiA]re fois A(c)tudiA(c)es pour obtenir de la divergence et du dA(c)sordre. AprA]s avoir utilisA(c) les mathA(c)matiques discrA]tes pour en dA(c)duire des situations de non convergence, ces itA(c)rations sont modA(c)lisA(c)es sous la forme d'un systA]me dynamique et sont A(c)tudiA(c)es topologiquement dans le cadre de la thA(c)orie mathA(c)matique du chaos. Nous prouvons que leur adjectif A chaotique A a A(c)tA(c) bien choisi: ces itA(c)rations sont du chaos aux sens de Devaney, Li-Yorke,...
Les itA(c)rations chaotiques, un outil issu des mathA(c)matiques discrA]tes, sont pour la premiA]re fois A(c)tudiA(c)es pour obtenir de la divergence ...
This brief studies the general problem of constructing digital chaotic systems in devices with finite precision from low-dimensional to high-dimensional settings, and establishes a general framework for composing them.
This brief studies the general problem of constructing digital chaotic systems in devices with finite precision from low-dimensional to high-dimension...
