{"citation":{"short":"S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2311.17186 (2023).","ama":"von der Gracht S, Nijholt E, Rink B. Higher order interactions lead to “reluctant” synchrony breaking. <i>arXiv:231117186</i>. Published online 2023.","ieee":"S. von der Gracht, E. Nijholt, and B. Rink, “Higher order interactions lead to ‘reluctant’ synchrony breaking,” <i>arXiv:2311.17186</i>. 2023.","bibtex":"@article{von der Gracht_Nijholt_Rink_2023, title={Higher order interactions lead to “reluctant” synchrony breaking}, journal={arXiv:2311.17186}, author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob}, year={2023} }","chicago":"Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Higher Order Interactions Lead to ‘Reluctant’ Synchrony Breaking.” <i>ArXiv:2311.17186</i>, 2023.","mla":"von der Gracht, Sören, et al. “Higher Order Interactions Lead to ‘Reluctant’ Synchrony Breaking.” <i>ArXiv:2311.17186</i>, 2023.","apa":"von der Gracht, S., Nijholt, E., &#38; Rink, B. (2023). Higher order interactions lead to “reluctant” synchrony breaking. In <i>arXiv:2311.17186</i>."},"type":"preprint","department":[{"_id":"101"}],"status":"public","_id":"49371","external_id":{"arxiv":["2311.17186"]},"date_created":"2023-12-01T06:35:29Z","user_id":"97359","author":[{"orcid":"0000-0002-8054-2058","first_name":"Sören","id":"97359","full_name":"von der Gracht, Sören","last_name":"von der Gracht"},{"last_name":"Nijholt","full_name":"Nijholt, Eddie","first_name":"Eddie"},{"first_name":"Bob","full_name":"Rink, Bob","last_name":"Rink"}],"year":"2023","title":"Higher order interactions lead to \"reluctant\" synchrony breaking","abstract":[{"lang":"eng","text":"To model dynamical systems on networks with higher order (non-pairwise)\r\ninteractions, we recently introduced a new class of ODEs on hypernetworks. Here\r\nwe consider one-parameter synchrony breaking bifurcations in such ODEs. We call\r\na synchrony breaking steady state branch \"reluctant\" if it is tangent to a\r\nsynchrony space, but does not lie inside it. We prove that reluctant synchrony\r\nbreaking is ubiquitous in hypernetwork systems, by constructing a large class\r\nof examples that support it. We also give an explicit formula for the order of\r\ntangency to the synchrony space of a reluctant steady state branch."}],"publication":"arXiv:2311.17186","language":[{"iso":"eng"}],"date_updated":"2023-12-01T06:38:44Z"}