A structurally dynamic cellular automaton with memory

Chaos, Solitons and Fractals

Volumn 32, Issue 4, 2007, Pages 1285-1295

  Alonso Sanz, Ramón ^a  

^a Electrotechnical Section   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL METHODS; TOPOLOGY;

DYNAMIC CELLULAR AUTOMATON; INALTERABILITY;

AUTOMATA THEORY;

EID: 33845391903     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.12.047     Document Type: Article

References (27)

1. Ilachinski A. Cellular automata. A discrete universe (2001), World Scientific
2. Wolfram S. A new kind of science (2001), Wolfram Media
3. Julian P., and Chua L.O. Replication properties of parity cellular automata. Int J Bifurcat Chaos 12 (2002) 477
4. Alonso-Sanz R. Phase transitions in an elementary probabilistic cellular automaton with memory. Physica A 347 (2005) 383
5. Alonso-Sanz R. One-dimensional, r = 2 cellular automata with memory. Int J Bifurcat Chaos 14 (2004) 3217
6. Alonso-Sanz R., and Martin M. Three-state one-dimensional cellular automata with memory. Chaos, Solitons & Fractals 21 (2004) 809
7. Alonso-Sanz R. Reversible cellular automata with memory. Physica D 175 (2003) 1
8. Alonso-Sanz R., and Martin M. Elementary cellular automata with memory. Complex Syst 14 (2003) 99
9. Alonso-Sanz R., and Martin M. Cellular automata with accumulative memory: legal rules starting from a single site seed. Int J Modern Phys C 14 (2003) 695
10. Alonso-Sanz R., and Martin M. One-dimensional cellular automata with memory: patterns starting with a single site seed. Int J Bifurcat Chaos 12 (2002) 20
11. Alonso-Sanz R., and Martin M. Two-dimensional cellular automata with memory: patterns starting with a single site seed. Int J Modern Phys C 13 (2002) 49
12. Alonso-Sanz R., Martin M.C., and Martin M. Historic life. Int J Bifurcat Chaos 11 (2001) 1665
13. Alonso-Sanz R., Martin M.C., and Martin M. The effect of memory in the continuous-valued prisoner's dilemma. Int J Bifurcat Chaos 11 (2001) 2061 and the references therein
14. Alonso-Sanz R. Elementary rules with elementary memory rules: the case of linear rules. J Cellular Automata 1 (2006) 71
15. Alonso-Sanz R., and Martin M. One-dimensional cellular automata with memory in cells of the most frequent recent value. Complex Syst 15 (2005) 203
16. Wolfram S. Universality and complexity in cellular automata. Physica D 10 (1984) 1
17. Adamatzky A. Identification of cellular automata (1994), Taylor and Francis
18. Wolf-Gladrow D.A. Lattice-gas cellular automata and lattice Boltzmann models (2000), Springer
19. Wuensche A., and Lesser M. The global dynamics of cellular automata (1992), Addison-Wesley
20. Ilachinsky A., and Halpern P. Structurally dynamic cellular automata. Complex Syst 1 (1987) 503
21. Halpern P., and Caltagirone G. Behaviour of topological cellular automata. Complex Syst 4 (1990) 623
22. Halpern P. Sticks and stones: a guide to structurally dynamic cellular automata. Am J Phys 57 (1989) 405
23. Hillman D. Combinatorial spacetimes. PhD thesis (mathematics). University of Pitssburg, 1995. Available from hep-th/9805066.
24. Majercik S.M. Structurally dynamic cellular automata (1994), University of Southern Maine (MsC)
25. Sanchez J.R., and Alonso-Sanz R. Multifractal properties of R90 cellular automaton with memory. Int J Modern Phys C 15 (2004) 1461
26. Requardt M. Cellular networks as models for Plank-scale physics. J Phys A 31 (1998) 7797. http://arxiv.org/abs/gr-qc/0308089 Available from
27. Love P.J., Boghosian B.M., and Meyer D.A. Lattice gas simulations of dynamical geometry in one dimension. Phil Trans R Soc London A 362 (2004) 1667