Higher-order topology for collective motions
Abstract 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...
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| Format: | Article |
| Language: | English |
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Springer
2024-12-01
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| Series: | Complex & Intelligent Systems |
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| Online Access: | https://doi.org/10.1007/s40747-024-01665-z |
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| author | Zijie Sun Tianjiang Hu |
| author_facet | Zijie Sun Tianjiang Hu |
| author_sort | Zijie Sun |
| collection | DOAJ |
| description | Abstract 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. |
| format | Article |
| id | doaj-art-c09c3f5778584287bf70be324b8c5517 |
| institution | Kabale University |
| issn | 2199-4536 2198-6053 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Springer |
| record_format | Article |
| series | Complex & Intelligent Systems |
| spelling | doaj-art-c09c3f5778584287bf70be324b8c55172025-02-02T12:50:11ZengSpringerComplex & Intelligent Systems2199-45362198-60532024-12-0111111710.1007/s40747-024-01665-zHigher-order topology for collective motionsZijie Sun0Tianjiang Hu1School of Aeronautics and Astronautics, Sun Yat-sen UniversitySchool of Artificial Intelligence, Sun Yat-sen UniversityAbstract 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.https://doi.org/10.1007/s40747-024-01665-zCollective motionHypergraphHigher order interactionResponsivenessPersistenceFlocking |
| spellingShingle | Zijie Sun Tianjiang Hu Higher-order topology for collective motions Complex & Intelligent Systems Collective motion Hypergraph Higher order interaction Responsiveness Persistence Flocking |
| title | Higher-order topology for collective motions |
| title_full | Higher-order topology for collective motions |
| title_fullStr | Higher-order topology for collective motions |
| title_full_unstemmed | Higher-order topology for collective motions |
| title_short | Higher-order topology for collective motions |
| title_sort | higher order topology for collective motions |
| topic | Collective motion Hypergraph Higher order interaction Responsiveness Persistence Flocking |
| url | https://doi.org/10.1007/s40747-024-01665-z |
| work_keys_str_mv | AT zijiesun higherordertopologyforcollectivemotions AT tianjianghu higherordertopologyforcollectivemotions |