While the flocking network may take very long to stabilize, we show that the birds themselves reach their final flying direction within a number of steps that is a single exponential in their number. The model requires infinite precision.
May 26, 2009 · This work introduces new techniques of broader interest, including the "flight net," the "iterated spectral shift," and a certain "residue- ...
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Each bird averages its velocity with its neighbors lying within a fixed radius. We resolve the worst-case complexity of this natural algorithm by providing ...
May 26, 2009 · Abstract. We bound the time it takes for a group of birds to reach steady state in a standard flocking model.
It emulates collective behaviors observed in nature, such as bird flocking or insect swarming, and has been harnessed to produce complex spatial forms [20, 21].
The worst-case complexity of this natural algorithm is resolved by providing asymptotically tight bounds on the time to equilibrium and the problem is ...
Flocking is the behavior exhibited when a group of birds, called a flock, are foraging or in flight. Sheep and goats also exhibit flocking behavior.
Nov 2, 2021 · When a predator arrives and disturbs the flock, one bird initiates action and the other members of the group respond. The leader changes based ...
The convergence of birds in response to external physical factors presents, in itself, no great problems to the student of bird behavior. Social responses ...
Jul 1, 2014 · Each bird averages its velocity with its neighbors lying within a fixed radius. We resolve the worst-case complexity of this natural algorithm ...