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A new discrete Cucker-Smale flocking model under hierarchical leadership

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  • This paper studies the flocking behavior in a new discrete-time Cucker-Smale model under hierarchical leadership. The features of this model are that each individual has its own intrinsic nonlinear dynamics and the interaction between individuals follows a hierarchical leadership structure. Based on a specific matrix norm, we prove that the conditional flocking indeed occurs. Numerical experiments are given to confirm the theoretical results.
    Mathematics Subject Classification: Primary: 92D25, 92D50; Secondary: 92B25, 93C55.

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