Collective Dynamics of Swarms with a New Attraction/Repulsion Function | Zendy

Hong Shi | Zendy; Guangming Xie | Zendy

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Collective Dynamics of Swarms with a New Attraction/Repulsion Function

Author(s) -

Hong Shi,

Guangming Xie

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/735248

Subject(s) - swarm behaviour , attraction , function (biology) , mathematics , euclidean distance , euclidean space , stability (learning theory) , mathematical optimization , statistical physics , computer science , physics , mathematical analysis , geometry , biology , philosophy , linguistics , evolutionary biology , machine learning

We specify an “individual-based” continuous-time model for swarm aggregation in -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

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