Periodic Forcing of a Spatially One-Dimensional Excitable Reaction-Diffusion System

  • Lenka Ketnerova
  • Hana Sevcikova
  • Miloš Marek
Part of the NATO ASI Series book series (NSSB, volume 244)


Spatially distributed excitable reaction-diffusion systems are used to model excitable media of different physical nature [2, 4, 9], as, for example, neurophysiological systems, which are sometimes difficult to study directly. The most often studied models are either experimental [1, 4, 6] (based on the Belousov- Zhabotinskii reaction medium arranged as pseudo-one, two or three dimensional systems) or theoretical [7, 8, 9] (based on the description of a system where nonlinear reaction and Fickian diffusion take place). The spatially distributed excitable media are known to support travelling waves of excitation, which appear as responses of the system to local stimuli. The present paper refers to results of theoretical studies of the relationship between the character of the elicited wave patterns and both the character of the stimulus and the type of the excitability of the medium.


Periodic Solution Phase Portrait Excitable Medium Local Stimulus Force Amplitude 
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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Lenka Ketnerova
    • 1
  • Hana Sevcikova
    • 2
  • Miloš Marek
    • 1
  1. 1.Department of Chemical EngineeringPrague Institute of Chemical TechnologyPrague 6Czechoslovakia
  2. 2.Prague 6Czechoslovakia

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