Designing Complex Dynamics with Memory: Elementary Cellular Automata Case

Genaro Juárez Martínez
Unconventional Computing Group
University of the West of England
United Kingdom
Presented in the Embryo Physics Course,  February 19, 2014

Abstract

Since their inception at `Macy conferences’ in later 1940s complex systems remain the most controversial topic of inter-disciplinary sciences. The term `complex system’ is the most vague and liberally used scientific term. Using elementary cellular automata (ECA), and exploiting the CA classification, we demonstrate elusiveness of `complexity’ by shifting space-time dynamics of the automata from simple to complex by enriching cells with `memory’. This way, we can transform any ECA class to another ECA class — without changing skeleton of cell-state transition function — and vice versa by just selecting a right kind of memory. A systematic analysis display that memory helps `discover’ hidden information and behaviour on trivial — uniform, periodic, and non-trivial — chaotic, complex — dynamical systems.

Presentation

/files/presentations/2/Martinez2014.pdf

Links

http://en.wikipedia.org/wiki/User:Genaro.J.Martinez

http://uncomp.uwe.ac.uk/genaro/

Cellular automata as universal computers


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  1. genarojm says:

    Thank you for you participation in my talk. If you have some another question, I will happy to know them.