Spectral Representations and Global Maps of Cellular Automata Dynamics

Autor:	Raptis, T. E.
Rok vydání:	2016
Předmět:	Nonlinear Sciences - Cellular Automata and Lattice Gases
Zdroj:	Chaos, Solitons & Fractals, 91(2016) p.503-510
Druh dokumentu:	Working Paper
DOI:	10.1016/j.chaos.2016.07.010
Popis:	We present a spectral representation of any computation performed by a Cellular Automaton (CA) of arbitrary topology and dimensionality via an appropriate coding scheme in Fourier space that can be implemented in an analog machine ideally circumventing part of the overall waste heat production. We explore further consequences of this encoding and we provide a simple example based on the Game-of-Life where we find global maps for small lattices indicating an interesting underlying recursive structure. Comment: 20 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1606.04023 Zobrazit plný text záznamu View this record from Arxiv