Collective Dynamics of Swarms with a New Attraction/Repulsion Function

Hong Shi and Guangming Xie

Mathematical Problems in Engineering, 2011, vol. 2011, 1-13

Abstract:

We specify an “individual-based” continuous-time model for swarm aggregation in ð ‘› -dimensional Euclidean space. We show that the swarm is completely stable, and the center of the swarm is stationary. Numerical simulations indicate that the individuals will form a stable and cohesive swarm, and under the attraction/repulsion function, the bound of the swarm size will increase as the number of individuals increases.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:735248

DOI: 10.1155/2011/735248

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