Chapter, 2024

A Note on α-Asynchronous Life-Like Cellular Automata

Cellular Automata Technology 978-3-031-56942-5, 978-3-031-56943-2, Pages 192-203

Editors: Mamata Dalui; Sukanta Das; Enrico Formenti

Series: Communications in Computer and Information Science ISSN 1865-0937, 1865-0929, 1865-0937, 1865-0929, Volume 2021, Pages 192-203

Publisher: Springer Nature

DOI: 10.1007/978-3-031-56943-2_15

Contributors

Roy, Souvik (Corresponding author) [1] Paul, Subrata 0000-0001-8919-7193 [2] Adak, Sumit 0000-0002-1814-7612 [3]

Affiliations

  1. [1] Ahmedabad University
  2. [NORA names: India; Asia, South];
  3. [2] Indian Institute of Engineering Science and Technology, Shibpur
  4. [NORA names: India; Asia, South];
  5. [3] Technical University of Denmark
  6. [NORA names: DTU Technical University of Denmark; University; Denmark; Europe, EU; Nordic; OECD]

Abstract

This note shows the dynamics of Life-like cellular automata under α$$\alpha $$-asynchronous perturbation where each cell is updated with α$$\alpha $$ probability. Here, we explore the possibility of phase transition dynamics during evolution of both low and high density Life-like games. Hereafter, we compare Game of Life (Life) and Life-like games with the effect of perturbation. This study also displays a beautiful gallery (natural patterns) of extended Life games with the effect of perturbation. Finally, we explore random games and their connection with second-order phase transition and first-order irreversible phase transition.

Keywords

automata, cells, cellular automata, compare games, connection, dynamics, effect, effects of perturbations, evolution, gallery, game, irreversible phase transition, life, life game, natural patterns, patterns, perturbation, phase, phase transition, phase transition dynamics, probability, random games, second-order phase transition, study, transition, transition dynamics

Data Provider: Digital Science