Algebraic properties of periodic points to the additive cellular automata

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Published

27-12-2023

DOI:

https://doi.org/10.58414/SCIENTIFICTEMPER.2023.14.4.20

Keywords:

Dynamical systems, Linear cellular automata, Periods, periodic points.

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Issue

Vol. 14 No. 04 (2023): The Scientific Temper

Section

SECTION B: PHYSICAL SCIENCES, PHARMACY, MATHS AND STATS

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Copyright (c) 2023 The Scientific Temper

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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Authors

  • L.P. Kumar Department of Mathematics, Jawaharlal Nehru Technological University, Hyderabad, Telangana, India
  • Vajha S. Kumar Department of Mathematics, Jawaharlal Nehru Technological University, Hyderabad, Telangana, India

Abstract

This paper characterizes the periodic points of additive cellular automata such as, arbitrary union and arbitrary intersection, relationship between periodic sets  and existence of additive cellular automata with  cardinality of periodic points one and two and existence for higher cardinality more than two.

How to Cite

Kumar, L., & Kumar, V. S. (2023). Algebraic properties of periodic points to the additive cellular automata. The Scientific Temper, 14(04), 1192–1195. https://doi.org/10.58414/SCIENTIFICTEMPER.2023.14.4.20

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Author Biography

Vajha S. Kumar, Department of Mathematics, Jawaharlal Nehru Technological University, Hyderabad, Telangana, India

Sr. Assistant Professor Mathematics, Jawaharlal Nehru Technological University,  Hyderabad -500 085, Telangana, India