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Emergent behavior of a generalized Viscek type flocking model

2014.03.24 18:28

실적년도	2010 년
논문구분	국외
총저자	Seung-Yeal Ha, Eunhe Seung-Yeal Ha
학술지명	Nonlinearity
권(Vol.)	23
호(No.)
게재년월	년 월
Impact Factor
SCI 등재	SCI
비고

We present a planar agent-based °ocking model with a distance-dependent
communication weight. We derive a su±cient condition for the asymptotic °ocking in terms of initial spatial and heading-angle diameters and a communication weight. For this, we employ di®erential inequalities for spatial and phase diameters together with the Lyapunov functional approach. When the diameter of agent's initial heading-angles is su±ciently small, we show that the diameter of heading-angles converges to the average value of initial heading-angles exponentially fast. As an application of °ocking estimates, we also show that the Kuramoto model with a connected communication topology on the regular lattice Zd for identical oscillators exhibits a complete phase-frequency synchronization, when coupled oscillators are initially distributed on the half circle.

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