Abstract
Structure of remote connections in the cellular automaton, group operations executed by a group of automaton cells in the pipeline mode, and group instructions controlling group operations were considered. These approaches extend the functionality of cellular automata and are realizable as dedicated multiprocessor data processing facilities.
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REFERENCES
Sarkar, P., A Brief History of Cellular Automata, ACM Comput. Surveys, 2000, vol. 32, no. 1, pp. 81–107.
Vanag, V.K., Study of the Spatially Distributed Dynamic Systems by the Methods of Probabilistic Cellular Automaton, Usp. Phys. Nauk, 1999, vol. 169, no. 5, pp. 481–505.
Toffoli, T. and Margolus, N., Cellular Automata Machines, Cambridge: MIT Press, 1987. Translated under the title Mashiny kletochnykh avtomatov, Moscow: Mir, 1991.
Crownover, R.M., Introduction to Fractals and Chaos, Boston: Jones and Bartlett, 1995. Translated under the title Fraktaly i khaos v dinamicheskikh sistemakh, Moscow: Postmarket, 2000.
Watts, D. and Strogatz, S., Collective Dynamics of "Small-world" Networks, Nature, 1998, vol. 393, pp. 440–442.
References on Zipf's law, http://linkage.rockfeller.edu/wli/zipf/.
Kleinberg, J., Navigation in a Small World, Nature, 2000, vol. 406, p. 845.
Albert, R., Jeong, H., and Barabasi, A.-R., Diameter of the World-Wide Web, Nature, 1999, vol. 401, pp. 130–131.
Stetsyura, G.G., Potentialities of Using Fractal Connections and Group Operations in the Rearrangeablestructure Multiprocessor Systems for Evolutionary Calculations, Avtom. Telemekh., 2003, no. 12, pp. 164–176.
Prangishvili, I.V., Podlazov, V.S., and Stetsyura, G.G., Lokal'nye microprocessornye vychislitel'nye seti(Local Microprocessor Computer Networks), Moscow: Nauka, 1984.
Salib, M., Liao, L., Jones, R., et al., Silicon Photonics, Intel Techn. J., 2004, vol. 8, no. 2, pp. 143–160.
Pakhomov, S., Triumph of Silicon Photonics, Komp'yuter-Press, 2004, no. 3, pp. 135–137.
Per Bak, How Nature Works the Science of Self-organized Criticality, New York: Springer, 1996.
Kulkarni, R.V., Almaas, E., and Stroud, D., Evolutionary Dynamics in the Bak-Sneppen Model on Small-world Networks, http://xxx.snu.ac.kr/abs/cond-mat/9905066.
Hang-Hyun Jo, Hie-Tae Moon., Self-Organized Criticality on Small-World Networks http://vortex.kaist.ac.kr/research/kyauou.pdf.
Soros, G., The Alchemy of Finance, New York: Wiley, 1994. Translated under the title Alkhimiya finansov, Moscow: INFRA-M, 1997.
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Stetsyura, G.G. Potentialities of Physical Realization of Cellular Automata with Remote Connections and Group Operations. Automation and Remote Control 65, 1328–1337 (2004). https://doi.org/10.1023/B:AURC.0000038733.75157.da
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DOI: https://doi.org/10.1023/B:AURC.0000038733.75157.da