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TITLE EMERGENT BEHAVIORS IN GROUP RING FLOCKS
KIAS AUTHORS Ha, Seung-Yeal
JOURNAL QUARTERLY OF APPLIED MATHEMATICS, 2021
ARCHIVE  
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.
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