{"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","Control and Optimization","Management Science and Operations Research","Computer Networks and Communications"],"oa":"1","publisher":"Oxford University Press (OUP)","ddc":["510"],"citation":{"chicago":"Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions.” <i>Journal of Complex Networks</i> 12, no. 2 (2024). <a href=\"https://doi.org/10.1093/comnet/cnae009\">https://doi.org/10.1093/comnet/cnae009</a>.","mla":"Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions.” <i>Journal of Complex Networks</i>, vol. 12, no. 2, Oxford University Press (OUP), 2024, doi:<a href=\"https://doi.org/10.1093/comnet/cnae009\">10.1093/comnet/cnae009</a>.","apa":"Bick, C., &#38; von der Gracht, S. (2024). Heteroclinic dynamics in network dynamical systems with higher-order interactions. <i>Journal of Complex Networks</i>, <i>12</i>(2). <a href=\"https://doi.org/10.1093/comnet/cnae009\">https://doi.org/10.1093/comnet/cnae009</a>","short":"C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024).","ieee":"C. Bick and S. von der Gracht, “Heteroclinic dynamics in network dynamical systems with higher-order interactions,” <i>Journal of Complex Networks</i>, vol. 12, no. 2, 2024, doi: <a href=\"https://doi.org/10.1093/comnet/cnae009\">10.1093/comnet/cnae009</a>.","bibtex":"@article{Bick_von der Gracht_2024, title={Heteroclinic dynamics in network dynamical systems with higher-order interactions}, volume={12}, DOI={<a href=\"https://doi.org/10.1093/comnet/cnae009\">10.1093/comnet/cnae009</a>}, number={2}, journal={Journal of Complex Networks}, publisher={Oxford University Press (OUP)}, author={Bick, Christian and von der Gracht, Sören}, year={2024} }","ama":"Bick C, von der Gracht S. Heteroclinic dynamics in network dynamical systems with higher-order interactions. <i>Journal of Complex Networks</i>. 2024;12(2). doi:<a href=\"https://doi.org/10.1093/comnet/cnae009\">10.1093/comnet/cnae009</a>"},"user_id":"97359","year":"2024","article_type":"original","status":"public","_id":"52726","publication":"Journal of Complex Networks","language":[{"iso":"eng"}],"department":[{"_id":"101"}],"volume":12,"has_accepted_license":"1","main_file_link":[{"open_access":"1","url":"https://academic.oup.com/comnet/article-pdf/12/2/cnae009/56832119/cnae009.pdf"}],"publication_identifier":{"issn":["2051-1329"]},"author":[{"full_name":"Bick, Christian","last_name":"Bick","first_name":"Christian"},{"orcid":"0000-0002-8054-2058","last_name":"von der Gracht","full_name":"von der Gracht, Sören","id":"97359","first_name":"Sören"}],"publication_status":"published","external_id":{"arxiv":["2309.02006"]},"date_created":"2024-03-22T09:04:57Z","doi":"10.1093/comnet/cnae009","file_date_updated":"2024-03-22T09:06:07Z","abstract":[{"lang":"eng","text":"Heteroclinic structures organize global features of dynamical systems. We analyse whether heteroclinic structures can arise in network dynamics with higher-order interactions which describe the nonlinear interactions between three or more units. We find that while commonly analysed model equations such as network dynamics on undirected hypergraphs may be useful to describe local dynamics such as cluster synchronization, they give rise to obstructions that allow to design of heteroclinic structures in phase space. By contrast, directed hypergraphs break the homogeneity and lead to vector fields that support heteroclinic structures."}],"title":"Heteroclinic dynamics in network dynamical systems with higher-order interactions","date_updated":"2024-03-22T09:11:53Z","issue":"2","intvolume":"        12","file":[{"date_updated":"2024-03-22T09:06:07Z","file_name":"heteroclinic-dynamics-in-network-dynamical-systems-with-higher-order-interactions.pdf","file_id":"52728","access_level":"closed","content_type":"application/pdf","success":1,"date_created":"2024-03-22T09:06:07Z","creator":"svdg","relation":"main_file","file_size":649155}]}