Abstract
Coupled map lattices have been studied in the last years as an attempt to bridge the gap between low-dimensional chaotic systems and spatially extended systems showing turbulent behaviour [1, 2, 3, 4]. For recent reviews see [5, 6]. In a chaotic coupled map lattice a large number of maps, each of which can generate chaotic behaviour, are coupled together as a coarse model of turbulence. From this approach we can hope to learn something about the characteristic length and time scales in ”spatio-temporally chaotic” systems and about the emergence of ordered states in strongly fluctuating systems.
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References
Kaneko, K., Prog. Theor. Phys. 72, 480 (1984); 74, 1033 (1985).
Chaté, H. and Manneville, P., Physica 32D, 409 (1988).
Bohr, T., Grinstein, G., He, Y. and Jayaprakash, C., Phys. Rev. Lett. 58, 2155 (1987).
Bohr, T. and Christensen, O. B., Phys. Rev. Lett. 63, 2161 (1989).
Crutchfield, J. P. and Kaneko, K., Directions in Chaos Vol.1, éd. Hao Bai-Lin, World Scientific (1987).
Bohr, T., Applications of Statistical Mechanics and Field Theory to Condensed Matter, ed. A. R. Bishop, D. Baeriswyl and J. Carmelo, Plenum.
Tel, T., Directions in Chaos Vol.3, ed. Hao Bai-Lin, World Scientific (1990).
Kaneko, K., Physica 34D, 1 (1989).
Kaneko, K. and Crutchfield, J. P., Phys. Rev. Lett. 60, 2715 (1988).
Kaneko, K., Phys. Lett. 149A, 105 (1990).
Gunton, J. D., Phase Transitions and Critical Phenomena Vol. 8, ed. C. Domb and J. L. Lebowitz.
Kaneko, K., Physica 37D, 60 (1989).
Bergé, P., Pomeau, Y. and Vidal, C., Order within Chaos, Wiley, (1984).
Eckmann, J.-P. and Ruelle, D., Rev. Mod. Phys. 67, 617 (1985).
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© 1991 Plenum Press, New York
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Conrado, C.V., Bohr, T. (1991). Ordering Process in the Diffusively Coupled Logistic Lattice. In: Amar, M.B., Pelcé, P., Tabeling, P. (eds) Growth and Form. NATO ASI Series, vol 276. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1357-1_41
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DOI: https://doi.org/10.1007/978-1-4684-1357-1_41
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