TY - JOUR A2 - Sun, Jitao AU - Shi, Hong AU - Xie, Guangming PY - 2011 DA - 2011/08/22 TI - Collective Dynamics of Swarms with a New Attraction/Repulsion Function SP - 735248 VL - 2011 AB - 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. SN - 1024-123X UR - https://doi.org/10.1155/2011/735248 DO - 10.1155/2011/735248 JF - Mathematical Problems in Engineering PB - Hindawi Publishing Corporation KW - ER -