[{"language":[{"iso":"eng"}],"doi":"10.1098/rspa.2023.0945","year":"2024","title":"Higher-order interactions lead to ‘reluctant’ synchrony breaking","author":[{"id":"97359","orcid":"0000-0002-8054-2058","last_name":"von der Gracht","first_name":"Sören","full_name":"von der Gracht, Sören"},{"full_name":"Nijholt, Eddie","last_name":"Nijholt","first_name":"Eddie"},{"last_name":"Rink","first_name":"Bob","full_name":"Rink, Bob"}],"publication_identifier":{"issn":["1364-5021","1471-2946"]},"publication_status":"published","date_updated":"2025-03-27T10:19:56Z","intvolume":"       480","file":[{"file_size":820435,"access_level":"open_access","file_name":"higher-order-interactions-lead-to-reluctant-synchrony-breaking.pdf","date_updated":"2025-03-27T10:19:48Z","relation":"main_file","content_type":"application/pdf","file_id":"59172","creator":"svdg","date_created":"2025-03-27T10:16:20Z"}],"date_created":"2025-03-27T10:15:06Z","keyword":["higher-order interactions","synchrony breaking","network dynamics","coupled cell systems"],"type":"journal_article","department":[{"_id":"101"}],"publication":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","issue":"2301","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"}],"publisher":"The Royal Society","_id":"59171","user_id":"97359","ddc":["510"],"volume":480,"status":"public","has_accepted_license":"1","oa":"1","file_date_updated":"2025-03-27T10:19:48Z","citation":{"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>.","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>","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} }","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>","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>.","short":"S. von der Gracht, E. Nijholt, B. Rink, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 480 (2024).","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>."}},{"year":"2011","title":"Language Does Something: Body Action and Language in Maternal Input to Three-Month-Olds","publication_identifier":{"issn":["1943-0612"]},"author":[{"full_name":"Nomikou, Iris","last_name":"Nomikou","first_name":"Iris"},{"full_name":"Rohlfing, Katharina","first_name":"Katharina","last_name":"Rohlfing","id":"50352"}],"date_updated":"2023-02-01T12:54:33Z","intvolume":"         3","language":[{"iso":"eng"}],"doi":"10.1109/TAMD.2011.2140113","issue":"2","publication":"IEEE Transactions on Autonomous Mental Development","date_created":"2020-06-24T13:02:12Z","keyword":["acoustic packaging","mother-child interaction","social learning","multimodal grounding in input","ecology of interactions","synchrony"],"type":"journal_article","department":[{"_id":"749"}],"status":"public","page":"113-128","_id":"17246","publisher":"Institute of Electrical & Electronics Engineers (IEEE)","user_id":"14931","volume":3,"citation":{"chicago":"Nomikou, Iris, and Katharina Rohlfing. “Language Does Something: Body Action and Language in Maternal Input to Three-Month-Olds.” <i>IEEE Transactions on Autonomous Mental Development</i> 3, no. 2 (2011): 113–28. <a href=\"https://doi.org/10.1109/TAMD.2011.2140113\">https://doi.org/10.1109/TAMD.2011.2140113</a>.","short":"I. Nomikou, K. Rohlfing, IEEE Transactions on Autonomous Mental Development 3 (2011) 113–128.","ieee":"I. Nomikou and K. Rohlfing, “Language Does Something: Body Action and Language in Maternal Input to Three-Month-Olds,” <i>IEEE Transactions on Autonomous Mental Development</i>, vol. 3, no. 2, pp. 113–128, 2011, doi: <a href=\"https://doi.org/10.1109/TAMD.2011.2140113\">10.1109/TAMD.2011.2140113</a>.","apa":"Nomikou, I., &#38; Rohlfing, K. (2011). Language Does Something: Body Action and Language in Maternal Input to Three-Month-Olds. <i>IEEE Transactions on Autonomous Mental Development</i>, <i>3</i>(2), 113–128. <a href=\"https://doi.org/10.1109/TAMD.2011.2140113\">https://doi.org/10.1109/TAMD.2011.2140113</a>","bibtex":"@article{Nomikou_Rohlfing_2011, title={Language Does Something: Body Action and Language in Maternal Input to Three-Month-Olds}, volume={3}, DOI={<a href=\"https://doi.org/10.1109/TAMD.2011.2140113\">10.1109/TAMD.2011.2140113</a>}, number={2}, journal={IEEE Transactions on Autonomous Mental Development}, publisher={Institute of Electrical &#38; Electronics Engineers (IEEE)}, author={Nomikou, Iris and Rohlfing, Katharina}, year={2011}, pages={113–128} }","ama":"Nomikou I, Rohlfing K. Language Does Something: Body Action and Language in Maternal Input to Three-Month-Olds. <i>IEEE Transactions on Autonomous Mental Development</i>. 2011;3(2):113-128. doi:<a href=\"https://doi.org/10.1109/TAMD.2011.2140113\">10.1109/TAMD.2011.2140113</a>","mla":"Nomikou, Iris, and Katharina Rohlfing. “Language Does Something: Body Action and Language in Maternal Input to Three-Month-Olds.” <i>IEEE Transactions on Autonomous Mental Development</i>, vol. 3, no. 2, Institute of Electrical &#38; Electronics Engineers (IEEE), 2011, pp. 113–28, doi:<a href=\"https://doi.org/10.1109/TAMD.2011.2140113\">10.1109/TAMD.2011.2140113</a>."}}]