{"date_created":"2025-03-27T10:15:06Z","file":[{"date_created":"2025-03-27T10:16:20Z","creator":"svdg","file_id":"59172","content_type":"application/pdf","relation":"main_file","date_updated":"2025-03-27T10:19:48Z","file_name":"higher-order-interactions-lead-to-reluctant-synchrony-breaking.pdf","access_level":"open_access","file_size":820435}],"department":[{"_id":"101"}],"type":"journal_article","keyword":["higher-order interactions","synchrony breaking","network dynamics","coupled cell systems"],"issue":"2301","publication":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","abstract":[{"text":"To model dynamical systems on networks with higher-order (non-pairwise) interactions, we recently introduced a new class of ordinary differential equations (ODEs) on hypernetworks. Here, we consider one-parameter synchrony breaking bifurcations in such ODEs. We call a synchrony breaking steady-state branch ‘reluctant’ if it is tangent to a synchrony space, but does not lie inside it. We prove that reluctant synchrony breaking is ubiquitous in hypernetwork systems, by constructing a large class of examples that support it. We also give an explicit formula for the order of tangency to the synchrony space of a reluctant steady-state branch.","lang":"eng"}],"language":[{"iso":"eng"}],"doi":"10.1098/rspa.2023.0945","author":[{"id":"97359","full_name":"von der Gracht, Sören","first_name":"Sören","orcid":"0000-0002-8054-2058","last_name":"von der Gracht"},{"last_name":"Nijholt","first_name":"Eddie","full_name":"Nijholt, Eddie"},{"full_name":"Rink, Bob","first_name":"Bob","last_name":"Rink"}],"publication_identifier":{"issn":["1364-5021","1471-2946"]},"year":"2024","title":"Higher-order interactions lead to ‘reluctant’ synchrony breaking","intvolume":"       480","publication_status":"published","date_updated":"2025-03-27T10:19:56Z","oa":"1","citation":{"bibtex":"@article{von der Gracht_Nijholt_Rink_2024, title={Higher-order interactions lead to ‘reluctant’ synchrony breaking}, volume={480}, DOI={<a href=\"https://doi.org/10.1098/rspa.2023.0945\">10.1098/rspa.2023.0945</a>}, number={2301}, journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences}, publisher={The Royal Society}, author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob}, year={2024} }","ama":"von der Gracht S, Nijholt E, Rink B. Higher-order interactions lead to ‘reluctant’ synchrony breaking. <i>Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>. 2024;480(2301). doi:<a href=\"https://doi.org/10.1098/rspa.2023.0945\">10.1098/rspa.2023.0945</a>","mla":"von der Gracht, Sören, et al. “Higher-Order Interactions Lead to ‘Reluctant’ Synchrony Breaking.” <i>Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>, vol. 480, no. 2301, The Royal Society, 2024, doi:<a href=\"https://doi.org/10.1098/rspa.2023.0945\">10.1098/rspa.2023.0945</a>.","chicago":"Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Higher-Order Interactions Lead to ‘Reluctant’ Synchrony Breaking.” <i>Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences</i> 480, no. 2301 (2024). <a href=\"https://doi.org/10.1098/rspa.2023.0945\">https://doi.org/10.1098/rspa.2023.0945</a>.","short":"S. von der Gracht, E. Nijholt, B. Rink, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 480 (2024).","ieee":"S. von der Gracht, E. Nijholt, and B. Rink, “Higher-order interactions lead to ‘reluctant’ synchrony breaking,” <i>Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>, vol. 480, no. 2301, 2024, doi: <a href=\"https://doi.org/10.1098/rspa.2023.0945\">10.1098/rspa.2023.0945</a>.","apa":"von der Gracht, S., Nijholt, E., &#38; Rink, B. (2024). Higher-order interactions lead to ‘reluctant’ synchrony breaking. <i>Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>, <i>480</i>(2301). <a href=\"https://doi.org/10.1098/rspa.2023.0945\">https://doi.org/10.1098/rspa.2023.0945</a>"},"file_date_updated":"2025-03-27T10:19:48Z","_id":"59171","publisher":"The Royal Society","volume":480,"user_id":"97359","ddc":["510"],"status":"public","has_accepted_license":"1"}