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Emergent behaviors in group ring flocks
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- Authors
- Issue Date
- 2021-12
- Publisher
- Brown University
- Citation
- Quarterly of Applied Mathematics, Vol.79 No.4, pp.617-640
- Abstract
- In this paper, we present a first-order aggregation model on a group ring and investigate its asymptotic dynamics. In a positive coupling strength regime, we show that the flow generated by the proposed model approaches to an equilibrium manifold asymptotically using a nonlinear functional and LaSalle invariance principle. Moreover, we also verify that equilibrium manifold's structure is strongly dependent on the structure of an underlying group structure.
- ISSN
- 0033-569X
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