CELLULAR AUTOMATON SUPERCOLLIDERS

Author:

MARTÍNEZ GENARO J.12,ADAMATZKY ANDREW12,STEPHENS CHRISTOPHER R.1,HOEFLICH ALEJANDRO F.1

Affiliation:

1. Instituto de Ciencias Nucleares and Centro de Ciencias de la Complejidad, Universidad Nacional Autónoma de México, México

2. Unconventional Computing Centre, University of the West of England, Bristol BS16 1QY, United Kingdom

Abstract

Gliders in one-dimensional cellular automata are compact groups of non-quiescent and non-ether patterns (ether represents a periodic background) translating along automaton lattice. They are cellular automaton analogous of localizations or quasi-local collective excitations traveling in a spatially extended nonlinear medium. They can be considered as binary strings or symbols traveling along a one-dimensional ring, interacting with each other and changing their states, or symbolic values, as a result of interactions. We analyze what types of interaction occur between gliders traveling on a cellular automaton "cyclotron" and build a catalog of the most common reactions. We demonstrate that collisions between gliders emulate the basic types of interaction that occur between localizations in nonlinear media: fusion, elastic collision, and soliton-like collision. Computational outcomes of a swarm of gliders circling on a one-dimensional torus are analyzed via implementation of cyclic tag systems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

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