Order in Binary Sequences and the Routes to Chaos
arXiv:nlin/0504025 · doi:10.1016/j.chaos.2005.04.105
Abstract
The natural order in the space of binary sequences permits to recover the -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.
13 pages, 2 tables