Chaotic Dynamics of Binary Systems
Abstract
Description
We propose a theory of chaos for discrete systems, based on their representation in a space of ``binary histories'', $ {\cal B^{\infty}} $. We show that $ {\cal B^{\infty}} $ is a metrizable Cantor set which embeds the attractor $Λ$, itself also a Cantor set.
TeX file, 23 pages, please contact the authors for figures The first two sections were rewritten to interpret our results (theory of chaos on a space of binary histories) in the context of existing mathematical literature on the dynamics of asymmetric spin glasses and cellular automata
TeX file, 23 pages, please contact the authors for figures The first two sections were rewritten to interpret our results (theory of chaos on a space of binary histories) in the context of existing mathematical literature on the dynamics of asymmetric spin glasses and cellular automata