articleIEEE Transactions on Automatic ControlMay 1, 2007Closed access

Emergent Behavior in Flocks

FCFelipe CuckerSSSteve Smale

City University of Hong Kong · Toyota Technological Institute at Chicago

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Abstract

We provide a model (for both continuous and discrete time) describing the evolution of a flock. Our model is parameterized by a constant beta capturing the rate of decay-which in our model is polynomial-of the influence between birds in the flock as they separate in space. Our main result shows that when beta

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Topics & keywords

Topics
Keywords
  • Flock
  • Convergence (economics)
  • Parameterized complexity
  • Polynomial
  • Mathematics
  • Rate of convergence
  • Constant (computer programming)
  • Control theory (sociology)
UN Sustainable Development Goals
  • Reduced inequalities
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