Social behaviour: Mexican waves in an excitable medium

@article{Farkas2002SocialBM,
  title={Social behaviour: Mexican waves in an excitable medium},
  author={Ill{\'e}s J. Farkas and Dirk Helbing and Tam{\'a}s Vicsek},
  journal={Nature},
  year={2002},
  volume={419},
  pages={131-132}
}
The Mexican wave, or La Ola, which rose to fame during the 1986 World Cup in Mexico, surges through the rows of spectators in a stadium as those in one section leap to their feet with their arms up, and then sit down again as the next section rises to repeat the motion. To interpret and quantify this collective human behaviour, we have used a variant of models that were originally developed to describe excitable media such as cardiac tissue. Modelling the reaction of the crowd to attempts to… 

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References

SHOWING 1-2 OF 2 REFERENCES

Spatial Patterns for Discrete Models of Diffusion in Excitable Media

In a spatially homogeneous environment an excitable media is characterized by a globally stable equilibrium state, and also by a threshold mechanism which produces a large amplitude response to a

Spiral wave generation in heterogeneous excitable media.

As the coupling in a heterogeneous excitable medium is reduced, three different types of behavior are encountered: plane waves propagate without breaking up, plane waves break up into spiral waves,