Geodesic
Mathematical model for the directed motion of a people group
Matematičeskoe modelirovanie, Tome 16 (2004) no. 3, pp. 43-49 
M. E. Stepantsov. Mathematical model for the directed motion of a people group. Matematičeskoe modelirovanie, Tome 16 (2004) no. 3, pp. 43-49. http://geodesic.mathdoc.fr/item/MM_2004_16_3_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of discrete models application is considered, one example of the application is studying the directed motion of a people group. A discrete model of this motion based on a cellular automaton is proposed. Some examples of the test problems solving are given.

[1] Toffoli T., Cellular Automata Mechanic, Tech. Rep. 208 Comp. Comm. Sci. Dept., The Univ. of Michigan, 1977

[2] Margolus N., “Physics-like models of computation”, Physica IOD, 1984, 81–95 | MR | Zbl

[3] Toffoli T., Margolus N., Mashiny kletochnykh avtomatov, Mir, M., 1991

[4] Frisch U., Hasslacher B., Pomeau Y., “Lattice-gas Automata for Navier–Stokes equation”, Phys. Rev. Letters, 56 (1986), 1505–1508 | DOI

[5] Mayainetskii G. G., Stepantsov M. E., “Modelirovanie protsessov kondensatsii i neizotermicheskikh techenii gaza s pomoschyu kletochnykh avtomatov”, Zhurnal fizicheskoi khimii, 69:8 (1995), 1528–1532

[6] Mayainetskii G. G., Shakaeva M. L., “K issledovaniyu kletochnogo avtomata, modeliruyuschego kolebatelnye khimicheskie reaktsii”, Dokl. AN SSSR, 321:4 (1991), 711

[7] Mayainetskii G. G., Stepantsov M. E., “Modelirovanie diffuzionnykh protsessov s pomoschyu kletochnykh avtomatov s okrestnostyu Margolusa”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 38:6 (1998), 1017–1020 | MR

[8] Stepantsov M. E., “Modelirovanie dinamiki dvizheniya gruppy lyudei na osnove reshetochnogo gaza s nelokalnymi vzaimodeistviyami”, Izvestiya Vysshikh uchebnykh zavedenii. Prikladnaya nelineinaya dinamika, 7:5 (1999), 44–46

[9] J. Hardy, Y. Pomeau and O. de Pazzis, “Time Evolution of a Two-Dimensional Model System”, J. Math. Phys., 19:3 (1978), 293–297