$1/f^α$ spectra in elementary cellular automata and fractal signals
| dc.creator | Nagler, Jan | |
| dc.creator | Claussen, Jens Christian | |
| dc.date | 2004-10-19 | |
| dc.date.accessioned | 2026-07-07T06:31:51Z | |
| dc.date.available | 2026-07-07T06:31:51Z | |
| dc.description | We systematically compute the power spectra of the one-dimensional elementary cellular automata introduced by Wolfram. On the one hand our analysis reveals that one automaton displays $1/f$ spectra though considered as trivial, and on the other hand that various automata classified as chaotic/complex display no $1/f$ spectra. We model the results generalizing the recently investigated Sierpinski signal to a class of fractal signals that are tailored to produce $1/f^α$ spectra. From the widespread occurrence of (elementary) cellular automata patterns in chemistry, physics and computer sciences, there are various candidates to show spectra similar to our results. | |
| dc.description | 4 pages (3 figs included) | |
| dc.identifier | https://arxiv.org/abs/nlin/0410037 | |
| dc.identifier | http://arxiv.org/abs/nlin/0410037 | |
| dc.identifier | Phys. Rev. E 71, 067103 (2005) | |
| dc.identifier | doi:10.1103/PhysRevE.71.067103 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98732 | |
| dc.subject | Cellular Automata and Lattice Gases | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | $1/f^α$ spectra in elementary cellular automata and fractal signals | |
| dc.type | text |