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Excitable Media as Computational Systems

  • A. V. Holden
  • J. V. Tucker
  • B. C. Thompson
Chapter
Part of the NATO ASI Series book series (NSSB, volume 244)

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.

Keywords

Cellular Automaton Cellular Automaton Excitable Medium Discrete Space Nonlinear Ordinary Differential Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • A. V. Holden
    • 1
  • J. V. Tucker
  • B. C. Thompson
    • 2
  1. 1.Centre for Nonlinear StudiesUniversity of LeedsUK
  2. 2.Department of Mathematics and Computer ScienceUniversity CollegeSwanseaWales UK

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