Designing Complex Dynamics in Cellular Automata with Memory

Genaro J. Martinez; Andrew Adamatzky; Ramon Alonso-Sanz

doi:10.1142/s0218127413300358

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arXiv · 1406.2277

Designing Complex Dynamics in Cellular Automata with Memory

Genaro J. Martinez·Andrew Adamatzky·Ramon Alonso-Sanz

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Abstract

Since their inception at {\it 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 {\it 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.

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Genaro J. Martinez, Andrew Adamatzky, Ramon Alonso-Sanz. 2014-06-09. Designing Complex Dynamics in Cellular Automata with Memory. https://doi.org/10.1142/s0218127413300358

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