Order in Binary Sequences and the Routes to Chaos

Details Order in Binary Sequences and the Routes to Chaos Order in Binary Sequences and the Routes to Chaos

2005-04-12

arxiv.org/abs/nlin/0504025v1

Nonlinear Sciences

Chaotic Dynamics

13 pages, 2 tables

Scientific paper

The natural order in the space of binary sequences permits to recover the
$U$-sequence. Also the scaling laws of the period-doubling cascade and the
intermittency route to chaos defined in that ordered set are explained. These
arise as intrinsic properties of this ordered set, and independent from any
consideration about dynamical systems.

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