Collective Dynamics of Swarms with a New Attraction/Repulsion Function
Hong Shi, Guangming Xie · Mathematical Problems in Engineering · 2011
We specify an “individual‐based” continuous‐time model for swarm aggregation in n‐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.