A fractal set from the binary reflected Gray code

Details A fractal set from the binary reflected Gray code A fractal set from the binary reflected Gray code

2005-10-14

arxiv.org/abs/nlin/0510032v1

J. Phys. A: Math. Gen. 38 (2005) 8935-8949

Nonlinear Sciences

Chaotic Dynamics

15 pages, 9 figures

Scientific paper

10.1088/0305-4470/38/41/007

The permutation associated with the decimal expression of the binary
reflected Gray code with $N$ bits is considered. Its cycle structure is
studied. Considered as a set of points, its self-similarity is pointed out. As
a fractal, it is shown to be the attractor of a IFS. For large values of $N$
the set is examined from the point of view of time series analysis

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