Some physical models of the reaction-diffusion equation, and coupled map lattices
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 59 (2004) no. 3, pp. 481-513
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A number of models are surveyed which appear in physics, biology, chemistry, and other areas and which are described by a reaction-diffusion equation. The corresponding coupled map lattice (CML) system is obtained by discretizing this equation. These CMLs are classified
by the type of the dynamics of the local map. Several different types of behavior are observed: Morse–Smale type systems, systems with attractors, and systems with Smale horseshoes.
@article{RM_2004_59_3_a2,
author = {Ya. B. Pesin and A. A. Yurchenko},
title = {Some physical models of the reaction-diffusion equation, and coupled map lattices},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {481--513},
publisher = {mathdoc},
volume = {59},
number = {3},
year = {2004},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RM_2004_59_3_a2/}
}
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%0 Journal Article %A Ya. B. Pesin %A A. A. Yurchenko %T Some physical models of the reaction-diffusion equation, and coupled map lattices %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 2004 %P 481-513 %V 59 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/RM_2004_59_3_a2/ %G en %F RM_2004_59_3_a2
Ya. B. Pesin; A. A. Yurchenko. Some physical models of the reaction-diffusion equation, and coupled map lattices. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 59 (2004) no. 3, pp. 481-513. http://geodesic.mathdoc.fr/item/RM_2004_59_3_a2/