In this article, the replication of arbitrary patterns by reversible and additive cellular automata is reported. The orbit of an 1D cellular automaton operating on p symbols that is both additive and reversible is explicitly given in terms of coefficients that appear in the theory of Gegenbauer polynomials. It is shown that if p is an odd prime, the pattern formed after (p \u2212 1)/2 time steps from any arbitrary initial condition (spatially confined to a region of side less than p) replicates after p + (p \u2212 1)/2 time steps in a way that resembles budding in biological systems.
Reversible Cellular Automata Additive Cellular Automata Replication Of Patterns Arbitrary Initial Condition Time Steps Cellular Automata Biological Systems Theory Of Polynomials 1D Cellular Automaton Gegenbauer Polynomials
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Round-ups are the summaries of handpicked papers around trending topics published every week. These would enable you to scan through a collection of papers and decide if the paper is relevant to you before actually investing time into reading it.
Climate change Research Articles published between Sep 19, 2022 to Sep 25, 2022
Sep 26, 2022
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Disaster Prevention and Management ISSN: 0965-3562 Article publication date: 20 September 2022 This paper applies the theory of cascading, interconnec...Read More
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