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Dynamics of three-state excitable units on Poisson vs. power-law random networks

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  • Carvunis, Anne-Ruxandra
  • Latapy, Matthieu
  • Lesne, Annick
  • Magnien, Clémence
  • Pezard, Laurent

Abstract

The influence of the network topology on the dynamics of systems of coupled excitable units is studied numerically and demonstrates a lower dynamical variability for power-law networks than for Poisson ones. This effect which reflects a robust collective excitable behavior is however lower than that observed for diffusion processes or network robustness. Instead, the presence (and number) of triangles and larger loops in the networks appears as a parameter with strong influence on the considered dynamics.

Suggested Citation

  • Carvunis, Anne-Ruxandra & Latapy, Matthieu & Lesne, Annick & Magnien, Clémence & Pezard, Laurent, 2006. "Dynamics of three-state excitable units on Poisson vs. power-law random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 595-612.
    • Handle: RePEc:eee:phsmap:v:367:y:2006:i:c:p:595-612
    DOI: 10.1016/j.physa.2005.12.056
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    References listed on IDEAS

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