Higher-order topology for collective motions
Zijie Sun, Tianjiang Hu · Complex & Intelligent Systems · 2024
Collective motions are prevalent in various natural groups, such as ant colonies, bird flocks, fish schools and mammal herds. Physical or mathematical models have been developed to formalize and/or regularize these collective behaviors. However, these models usually follow pairwise topology and seldom maintain better responsiveness and persistence simultaneously, particularly in the face of sudden predator-like invasion. In this paper, we propose a specified higher-order topology, rather than the pairwise individual-to-individual pattern, to enable optimal responsiveness-persistence trade-off in collective motion. Then, interactions in hypergraph are designed between both individuals and sub-groups. It not only enhances connectivity of the interaction network but also mitigates its localized feature. Simulation results validate the effectiveness of the proposed approach in achieving a subtle balance between responsiveness and persistence even under external disturbances.