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Chaotic Dynamics of Binary Systems

H. Waelbroeck·F. Zertuche
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Abstract

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.

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H. Waelbroeck, F. Zertuche. 1995-08-18. Chaotic Dynamics of Binary Systems. https://arxiv.org/abs/chao-dyn/9505015

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