Sustained dynamics of a weakly excitable system with nonlocal interactions

HANDLE Open Access

Abstract

We investigate a two-dimensional spatially extended system that has a weak sense of excitability, where an excitation wave has a uniform profile and propagates only within a finite range. Using a cellular automaton model of such a weakly excitable system, we show that three kinds of sustained dynamics emerge when nonlocal spatial interactions are provided, where a chain of local wave propagation and nonlocal activation forms an elementary oscillatory cycle. Transition between different oscillation regimes can be understood as different ways of interactions among these cycles. Analytical expressions are given for the oscillation probability near the onset of oscillations.

Journal

Details 詳細情報について

  • CRID
    1050845763954297088
  • NII Article ID
    120006363252
  • HANDLE
    2115/67586
  • ISSN
    24700045
  • Text Lang
    en
  • Article Type
    journal article
  • Data Source
    • IRDB
    • CiNii Articles

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