Abstract
A number of mathematical approaches may be used to model a given excitable system. For an excitable system that is not spatially extensive a map, or a system of nonlinear ordinary differential equations may be appropriate. For a spatially extensive excitable medium a system of partial differential equations, or a coupled map lattice, or a cellular automaton, might be an appropriate model. These different types of model are all nonlinear, and are often intractable, and so their behaviour is usually investigated by numerical methods on a digital computer, using some appropriate algorithms.
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© 1991 Springer Science+Business Media New York
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Holden, A.V., Tucker, J.V., Thompson, B.C. (1991). Excitable Media as Computational Systems. In: Holden, A.V., Markus, M., Othmer, H.G. (eds) Nonlinear Wave Processes in Excitable Media. NATO ASI Series, vol 244. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3683-7_45
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DOI: https://doi.org/10.1007/978-1-4899-3683-7_45
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