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A survey of cellular automata: types, dynamics, non-uniformity and applications

  • Kamalika Bhattacharjee
  • Nazma Naskar
  • Souvik Roy
  • Sukanta Das
Article

Abstract

Cellular automata (CAs) are dynamical systems which exhibit complex global behavior from simple local interaction and computation. Since the inception of cellular automaton (CA) by von Neumann in 1950s, it has attracted the attention of several researchers over various backgrounds and fields for modeling different physical, natural as well as real-life phenomena. Classically, CAs are uniform. However, non-uniformity has also been introduced in update pattern, lattice structure, neighborhood dependency and local rule. In this survey, we tour to the various types of CAs introduced till date, the different characterization tools, the global behavior of CAs, like universality, reversibility, dynamics etc. Special attention is given to non-uniformity in CAs and especially to non-uniform elementary CAs, which have been very useful in solving several real-life problems.

Keywords

Cellular automata (CAs) Types Characterization tools Dynamics Non-uniformity Technology 

Mathematics Subject Classification

68Q80 37B15 

Notes

Acknowledgements

The authors gratefully acknowledge the anonymous reviewers for their comments and suggestions, which have helped to improve the quality and readability of the paper.

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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Department of Information TechnologyIndian Institute of Engineering Science and TechnologyShibpur, HowrahIndia
  2. 2.School of Computing EngineeringKIIT UniversityBhubaneswarIndia

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