English

A fractal set from the binary reflected Gray code

Chaotic Dynamics 2007-05-23 v1

Abstract

The permutation associated with the decimal expression of the binary reflected Gray code with NN 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 NN the set is examined from the point of view of time series analysis

Keywords

Cite

@article{arxiv.nlin/0510032,
  title  = {A fractal set from the binary reflected Gray code},
  author = {J. A. Oteo and J. Ros},
  journal= {arXiv preprint arXiv:nlin/0510032},
  year   = {2007}
}

Comments

15 pages, 9 figures