Advanced search
1 file | 918.10 KB

Towards a comprehensive understanding of multi-state cellular automata

Jan Baetens (UGent) and Bernard De Baets (UGent)
Author
Organization
Abstract
Motivated by the fact that many cellular automata (CAs) for describing biological, physical or chemical processes are built upon more than two states, whereas most the majority of results on the stability of CAs is restricted to two-state CAs, we show in this paper how non-directional Lyapunov exponents can be used to assess the stability of multi-state CAs. Moreover, we pay particular attention to the different types of defects that may emerge during the evolution of such CAs from a single initial defect of a given type. Numerical results are presented for the family of three-state totalistic CAs.
Keywords
DIFFUSION, EXCITABLE MEDIA, COMPLEXITY, MODEL, EXPONENTS

Downloads

  • (...).pdf
    • full text
    • |
    • UGent only
    • |
    • PDF
    • |
    • 918.10 KB

Citation

Please use this url to cite or link to this publication:

Chicago
Baetens, Jan, and Bernard De Baets. 2014. “Towards a Comprehensive Understanding of Multi-state Cellular Automata.” In Lecture Notes in Computer Science, ed. Jarosław Wąs, Georgios Ch Sirakoulis, and Stefania Bandini, 8751:16–24. Cham, Switzerland: Springer.
APA
Baetens, Jan, & De Baets, B. (2014). Towards a comprehensive understanding of multi-state cellular automata. In J. Wąs, G. C. Sirakoulis, & S. Bandini (Eds.), Lecture Notes in Computer Science (Vol. 8751, pp. 16–24). Presented at the 11th International conference on Cellular Automata for Research and Industry (ACRI), Cham, Switzerland: Springer.
Vancouver
1.
Baetens J, De Baets B. Towards a comprehensive understanding of multi-state cellular automata. In: Wąs J, Sirakoulis GC, Bandini S, editors. Lecture Notes in Computer Science. Cham, Switzerland: Springer; 2014. p. 16–24.
MLA
Baetens, Jan, and Bernard De Baets. “Towards a Comprehensive Understanding of Multi-state Cellular Automata.” Lecture Notes in Computer Science. Ed. Jarosław Wąs, Georgios Ch Sirakoulis, & Stefania Bandini. Vol. 8751. Cham, Switzerland: Springer, 2014. 16–24. Print.
@inproceedings{6851332,
  abstract     = {Motivated by the fact that many cellular automata (CAs) for describing biological, physical or chemical processes are built upon more than two states, whereas most the majority of results on the stability of CAs is restricted to two-state CAs, we show in this paper how non-directional Lyapunov exponents can be used to assess the stability of multi-state CAs. Moreover, we pay particular attention to the different types of defects that may emerge during the evolution of such CAs from a single initial defect of a given type. Numerical results are presented for the family of three-state totalistic CAs.},
  author       = {Baetens, Jan and De Baets, Bernard},
  booktitle    = {Lecture Notes in Computer Science},
  editor       = {Wąs, Jarosław and Sirakoulis, Georgios Ch and Bandini, Stefania},
  isbn         = {9783319115191},
  issn         = {0302-9743},
  keywords     = {DIFFUSION,EXCITABLE MEDIA,COMPLEXITY,MODEL,EXPONENTS},
  language     = {eng},
  location     = {Krakow, Poland},
  pages        = {16--24},
  publisher    = {Springer},
  title        = {Towards a comprehensive understanding of multi-state cellular automata},
  url          = {http://dx.doi.org/10.1007/978-3-319-11520-7_3},
  volume       = {8751},
  year         = {2014},
}

Altmetric
View in Altmetric
Web of Science
Times cited: