Chaotic Dynamics of Binary Systems

Details Chaotic Dynamics of Binary Systems Chaotic Dynamics of Binary Systems

1995-06-01

arxiv.org/abs/chao-dyn/9505015v2

Nonlinear Sciences

Chaotic Dynamics

TeX file, 23 pages, please contact the authors for figures The first two sections were rewritten to interpret our results (the

Scientific paper

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 $\Lambda$, itself also a Cantor set.

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