Excitable Media as Computational Systems
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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.
KeywordsCellular Automaton Cellular Automaton Excitable Medium Discrete Space Nonlinear Ordinary Differential Equation
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