From cellular automaton to difference equation: A general transformation method which preserves time evolution patterns

Journal of Physics A: Mathematical and General

Volumn 34, Issue 25, 2001, Pages

  Nobe, A ^a   Satsuma, J ^a   Tokihiro, T ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22244439252     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/25/101     Document Type: Article

References (12)

1. Tokihiro T, Takahashi D, Matsukidaira J and Satsuma J 1996 Phys. Rev. Lett. 76 3247
2. Matsukidaira J, Satsuma J, Takahashi D, Tokihiro T and Torii M 1997 Phys. Lett. A 255 287
3. Takahashi D and Satsuma J 1990 J. Phys. Soc. Japan 59 3514
4. Nobe A 1999 Master Thesis University of Tokyo
5. Wolfram S (ed) 1986 Theory and Applications of Cellular Automata (Singapore: World Scientific)
6. See for example, Gardner M 1983 Wheels, Life and Other Mathematical Amusements (San Francisco: Freeman)
7. Watanabe T, Tokihiro T and Satsuma J From the game of life to difference equations Preprint
8. Nobe A, Satsuma J and Tokihiro T Stable difference equations associated with elementary cellular automata Preprint
9. Wolfram S 1985 Phys. Scr. T 9 170-83
10. (This paper has been reprinted in Wolfram S 1994 Cellular Automata and Complexity (Reading, MA: Addison-Wesley))
11. Omohundro S 1984 Physica D 10 128
12. Boon J P, Dab D, Kapral R and Lawniczak A 1996 Phys. Rep. 273 55