Algebraic properties of periodic points to the additive cellular automata

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

DOI:

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

Keywords:

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

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.

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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

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Published

27-12-2023

Issue

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

Section

SECTION B: PHYSICAL SCIENCES, PHARMACY, MATHS AND STATS

License

Copyright (c) 2023 The Scientific Temper

Creative Commons License

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

How to Cite

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

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