English

Order in Binary Sequences and the Routes to Chaos

Chaotic Dynamics 2015-06-26 v1 Statistical Mechanics Dynamical Systems Number Theory

Abstract

The natural order in the space of binary sequences permits to recover the UU-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.

Keywords

Cite

@article{arxiv.nlin/0504025,
  title  = {Order in Binary Sequences and the Routes to Chaos},
  author = {Ricardo Lopez-Ruiz},
  journal= {arXiv preprint arXiv:nlin/0504025},
  year   = {2015}
}

Comments

13 pages, 2 tables

R2 v1 2026-07-22T18:13:43.088Z