离散里奇曲率诱导生物聚集中的非局部相互作用

IF 2.9 3区综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Royal Society Open Science Pub Date : 2024-09-04 eCollection Date: 2024-09-01 DOI:10.1098/rsos.240794

Jyotiranjan Beuria, Laxmidhar Behera

{"title":"离散里奇曲率诱导生物聚集中的非局部相互作用","authors":"Jyotiranjan Beuria, Laxmidhar Behera","doi":"10.1098/rsos.240794","DOIUrl":null,"url":null,"abstract":"We investigate the collective dynamics of multi-agent systems in two- and three-dimensional environments generated by minimizing discrete Ricci curvature with local and non-local interaction neighbourhoods. We find that even a single effective topological neighbour suffices for significant order in a system with non-local topological interactions. We also explore topological information flow patterns and clustering dynamics using Hodge spectral entropy and mean Forman-Ricci curvature.","PeriodicalId":21525,"journal":{"name":"Royal Society Open Science","volume":null,"pages":null},"PeriodicalIF":2.9000,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11371432/pdf/","citationCount":"0","resultStr":"{\"title\":\"Non-local interaction in discrete Ricci curvature-induced biological aggregation.\",\"authors\":\"Jyotiranjan Beuria, Laxmidhar Behera\",\"doi\":\"10.1098/rsos.240794\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigate the collective dynamics of multi-agent systems in two- and three-dimensional environments generated by minimizing discrete Ricci curvature with local and non-local interaction neighbourhoods. We find that even a single effective topological neighbour suffices for significant order in a system with non-local topological interactions. We also explore topological information flow patterns and clustering dynamics using Hodge spectral entropy and mean Forman-Ricci curvature.\",\"PeriodicalId\":21525,\"journal\":{\"name\":\"Royal Society Open Science\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.9000,\"publicationDate\":\"2024-09-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11371432/pdf/\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Royal Society Open Science\",\"FirstCategoryId\":\"103\",\"ListUrlMain\":\"https://doi.org/10.1098/rsos.240794\",\"RegionNum\":3,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2024/9/1 0:00:00\",\"PubModel\":\"eCollection\",\"JCR\":\"Q1\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Royal Society Open Science","FirstCategoryId":"103","ListUrlMain":"https://doi.org/10.1098/rsos.240794","RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2024/9/1 0:00:00","PubModel":"eCollection","JCR":"Q1","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}

引用次数: 0

摘要

我们研究了多代理系统在二维和三维环境中的集体动力学，这些环境是通过最小化具有局部和非局部相互作用邻域的离散里奇曲率生成的。我们发现，在一个具有非局部拓扑相互作用的系统中，即使只有一个有效的拓扑邻域，也足以产生显著的秩序。我们还利用霍奇光谱熵和平均福曼-里奇曲率探索了拓扑信息流模式和聚类动力学。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Non-local interaction in discrete Ricci curvature-induced biological aggregation.

We investigate the collective dynamics of multi-agent systems in two- and three-dimensional environments generated by minimizing discrete Ricci curvature with local and non-local interaction neighbourhoods. We find that even a single effective topological neighbour suffices for significant order in a system with non-local topological interactions. We also explore topological information flow patterns and clustering dynamics using Hodge spectral entropy and mean Forman-Ricci curvature.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Royal Society Open Science Multidisciplinary-Multidisciplinary

CiteScore

6.00

自引率

0.00%

发文量

508

审稿时长

14 weeks

期刊介绍： Royal Society Open Science is a new open journal publishing high-quality original research across the entire range of science on the basis of objective peer-review. The journal covers the entire range of science and mathematics and will allow the Society to publish all the high-quality work it receives without the usual restrictions on scope, length or impact.