Voir la notice de l'article provenant de la source Math-Net.Ru
@article{PDM_2010_4_a9, author = {O. L. Bandman}, title = {A method for construction of cellular automata simulating pattern formation processes}, journal = {Prikladna\^a diskretna\^a matematika}, pages = {91--99}, publisher = {mathdoc}, number = {4}, year = {2010}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/PDM_2010_4_a9/} }
O. L. Bandman. A method for construction of cellular automata simulating pattern formation processes. Prikladnaâ diskretnaâ matematika, no. 4 (2010), pp. 91-99. http://geodesic.mathdoc.fr/item/PDM_2010_4_a9/
[1] Nicolis G., Prigogine I., Self-Organization in Nonequilibrium Systems, Wiley-Interscience, N.Y., 1977, 236 pp. | MR | Zbl
[2] Zhabotinskii A. M., “Periodicheskie protsessy okisleniya malonovoi kisloty v rastvore (issledovanie kinetiki reaktsii Belousova)”, Biofizika, 9 (1964), 306–310
[3] Deutsch A., Dormann S., Cellular Automaton Modeling of Biological Pattern Formarion, Birkhäuser, Berlin, 2004, 330 pp. | MR
[4] Turing A. M., “The chemical basis of Morphogenesis”, Phil. Trans. R. Soc. London (B), 237:641 (1952), 37–82 | DOI
[5] Vanag V. K., Dissipativnye struktury v reaktsionno-diffuzionnykh sistemakh, In-t kompyuternykh issledovanii, M.–Izhevsk, 2008, 300 pp.
[6] Wolfram S., A new kind of science, Wolfram Media Inc., USA, 2002, 1197 pp. | MR | Zbl
[7] Chua L., CNN: A paradigm of complexity, World Scientific, Singapore, 2002, 320 pp.
[8] Elokhin V. I., Latkin E. I., Matveev A. V., Gorodetskii V. V., “Application of Statistical Lattice Models to the Analysis of Oscillatory and Autowave Processes on the Reaction of Carbon Monoxide Oxidation over Platinum and Palladium Surfaces”, Kinet. Catalys., 4:5 (2003), 672–700
[9] Achasova S., Bandman O., Markova V., Piskunov S., Parallel Substitution Algorithm. Theory and Application, World Scientific, Singapore, 1994, 180 pp. | Zbl
[10] A. G. Hoekstra, J. Kroc, P. M. A. Sloot (eds.), Simulating Complex Systems by Cellular Automata, Springer, Berlin, 2010, 350 pp.
[11] Toffolli T., “Cellular Automata as an Alternative to (rather than Approximation of) Differential Equations in Modeling Physics”, Physica D, 10 (1984), 117–127 | DOI | MR
[12] Wolfram S., “Statistical mechanics of Cellular automata”, Rev. Mod. Phys., 55 (1993), 607–640 | MR
[13] Bandman O. L., “Kletochno-avtomatnye modeli prostranstvennoi dinamiki”, Sistemnaya informatika. Sb. nauchn. tr., 10, Izd-vo SO RAN, Novosibirsk, 2006, 59–111
[14] Bandman O. L., “Diskretnoe modelirovanie fiziko-khimicheskikh protsessov”, Prikladnaya diskretnaya matematika, 2009, no. 3(5), 33–49
[15] Bandman O. L., “Metody kompozitsii kletochnykh avtomatov dlya modelirovaniya prostranstvennoi dinamiki”, Vestnik Tomskogo gosuniversiteta. Prilozhenie, 2002, no. 9(1), 188–192
[16] Toffolli T., Margolus N., Cellular Automata Machine, MIT Press, USA, 1987, 280 pp.
[17] Svirezhev Yu. M., Nelineinye volny, dissipativnye struktury i katastrofy v ekologii, Nauka, M., 1987, 320 pp. | MR | Zbl