Collective dynamics of swarms with a new attraction/repulsion function (Q410527)
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scientific article; zbMATH DE number 6021152
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Collective dynamics of swarms with a new attraction/repulsion function |
scientific article; zbMATH DE number 6021152 |
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Collective dynamics of swarms with a new attraction/repulsion function (English)
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3 April 2012
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Summary: 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.
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