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arXiv · 2411.17421

Temporally Non-Uniform Cellular Automata: Surjectivity, Reversibility and Cyclic Behavior

Subrata Paul·Sukanta Das
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Abstract

This work studies Temporally Non-Uniform Cellular Automata (t-NUCAs), a variant of non-uniform cellular automata, which temporally use two rules in a sequence during their evolution. The one-dimensional t-NUCAs, under finite as well as infinite lattices, are considered in this work. Surjectivity and injectivity of the t-NUCAs are studied. The reversibility of the t-NUCAs is also explored here. Finally, a study on the cyclic behavior of finite t-NUCAs is presented.

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Subrata Paul, Sukanta Das. 2024-11-26. Temporally Non-Uniform Cellular Automata: Surjectivity, Reversibility and Cyclic Behavior. https://arxiv.org/abs/2411.17421

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