Migration in cellular automata

Physica D: Nonlinear Phenomena

Volumn 103, Issue 1-4, 1997, Pages 537-553

  Schönfisch, Birgitt ^a   Lacoursière, Claude ^b  

^a UNIVERSITY OF TÜBINGEN   (Germany)

^b MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041957862     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(96)00284-9     Document Type: Article

References (15)

1. J.-P. Allouche and C. Reder, Oscillations spatio-temporelles engendrées par un automate cellulaire, Discrete Appl. Math. 8 (1984) 215-254.
2. G.I. Barenblatt, Similarity, Self-similarity, and Intermediate Asymptotics (Consultants Bureau, New York, 1979).
3. G.I. Barenblatt, Scaling, Dimensional Analysis and Intermediate Asymptotics (Cambridge University Press, New York, 1994).
4. N. Boccara and K. Cheong, Automata network SIR models for the spread of infectious diseases in populations of moving individuals, J. Phys. A 25 (1992) 2447-2461.
5. N. Boccara, K. Cheong and M. Oram, A probabilistic automata network epidemic model with births and deaths exhibiting cyclic behaviour, J. Phys. A 27 (1994) 1585-1597.
6. N. Boccara, O. Roblin and M. Roger, Route to chaos for a global variable of a two-dimensional 'game-of-life type' automata network, J. Phys. A 27 (1994) 8039-8047.
7. A.M. DeRoos, E. McCauley and W.G. Wilson, Mobility versus density-limited predator-prey dynamics on different spatial scales, Proc. Roy. Soc. London Ser. B 246 (1991) 117-122.
8. N. Goldenfeld, Lectures on phase transitions and the renormalization group, Frontiers in Physics, Vol. 85 (Addison-Wesley, Reading, MA, 1992).
9. J.M. Greenberg, C. Greene and S. Hastings, A combinatorial problem arising in the study of reaction-diffusion equations, SIAM J. Algebraic and Discrete Methods 1 (1980) 34-42.
10. J.M. Greenberg and S.P. Hastings, Spatial patterns for discrete models of diffusion in excitable media, SIAM J. Appl. Math. 34 (1978) 515-523.
11. J.D. Gunton, M. San Miguel and P.S. Sahni, The dynamics of first-order phase transitions, in: Phase Transitions and Critical Phenomena, eds. C. Domb and J.L. Leibowitz, Vol. 8 (Academic Press, London, 1983) pp. 267-507.
12. B. Schönfisch, Propagation of fronts in cellular automata, Physica D 80 (1995) 433-450.
13. D. Stauffer, Introduction to Percolation Theory, 2nd Ed. (Taylor & Francis, London, Washington, DC, 1992).
14. S. Wolfram, Statistical mechanics of cellular automata, Rev. Modern Phys. 55 (1983) 601-644.
15. S. Wolfram, Cellular automaton fluids: Basic theory, J. Statist. Phys. 45 (1986) 471-526.