Order by Disordered Action in Swarms

  • Gerardo Beni
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3342)


We consider swarms as systems with partial random synchronicity and look at the conditions for their convergence to a fixed point. The conditions turn out to be not much more stringent than for linear, one-step, stationary iterative schemes, either synchronous or sequential. The rate of convergence is also comparable. The main result is that swarms converge in cases when synchronous and/or sequential updating systems do not. The other significant result is that swarms can undergo a transition from non convergence to convergence as their degree of partial synchronicity diminishes, i.e., as they get more “disordered”. The production of order by disordered action appears as a basic characteristic of swarms.


Cellular Automaton Spectral Radius Cellular Automaton Swarm Intelligence Communication Delay 
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© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Gerardo Beni
    • 1
  1. 1.Department of Electrical EngineeringUniversity of CaliforniaRiversideUSA

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