[{"type":"journal_article","status":"public","department":[{"_id":"101"}],"user_id":"97359","_id":"59171","file_date_updated":"2025-03-27T10:19:48Z","publication_identifier":{"issn":["1364-5021","1471-2946"]},"has_accepted_license":"1","publication_status":"published","intvolume":"       480","citation":{"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>","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>.","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>.","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>","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} }","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>.","short":"S. von der Gracht, E. Nijholt, B. Rink, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 480 (2024)."},"volume":480,"author":[{"first_name":"Sören","full_name":"von der Gracht, Sören","id":"97359","last_name":"von der Gracht","orcid":"0000-0002-8054-2058"},{"first_name":"Eddie","last_name":"Nijholt","full_name":"Nijholt, Eddie"},{"first_name":"Bob","last_name":"Rink","full_name":"Rink, Bob"}],"date_updated":"2025-03-27T10:19:56Z","oa":"1","doi":"10.1098/rspa.2023.0945","publication":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","file":[{"date_created":"2025-03-27T10:16:20Z","creator":"svdg","date_updated":"2025-03-27T10:19:48Z","access_level":"open_access","file_id":"59172","file_name":"higher-order-interactions-lead-to-reluctant-synchrony-breaking.pdf","file_size":820435,"content_type":"application/pdf","relation":"main_file"}],"abstract":[{"lang":"eng","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."}],"language":[{"iso":"eng"}],"keyword":["higher-order interactions","synchrony breaking","network dynamics","coupled cell systems"],"ddc":["510"],"issue":"2301","year":"2024","date_created":"2025-03-27T10:15:06Z","publisher":"The Royal Society","title":"Higher-order interactions lead to ‘reluctant’ synchrony breaking"},{"status":"public","publication":"Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences","type":"journal_article","language":[{"iso":"eng"}],"_id":"16498","department":[{"_id":"101"}],"user_id":"47427","year":"2003","page":"2933-2955","citation":{"ama":"Aston PJ, Dellnitz M. Computation of the dominant Lyapunov exponent via spatial integration using matrix norms. <i>Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences</i>. 2003:2933-2955. doi:<a href=\"https://doi.org/10.1098/rspa.2003.1143\">10.1098/rspa.2003.1143</a>","chicago":"Aston, P. J., and M. Dellnitz. “Computation of the Dominant Lyapunov Exponent via Spatial Integration Using Matrix Norms.” <i>Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences</i>, 2003, 2933–55. <a href=\"https://doi.org/10.1098/rspa.2003.1143\">https://doi.org/10.1098/rspa.2003.1143</a>.","ieee":"P. J. Aston and M. Dellnitz, “Computation of the dominant Lyapunov exponent via spatial integration using matrix norms,” <i>Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences</i>, pp. 2933–2955, 2003.","apa":"Aston, P. J., &#38; Dellnitz, M. (2003). Computation of the dominant Lyapunov exponent via spatial integration using matrix norms. <i>Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences</i>, 2933–2955. <a href=\"https://doi.org/10.1098/rspa.2003.1143\">https://doi.org/10.1098/rspa.2003.1143</a>","short":"P.J. Aston, M. Dellnitz, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (2003) 2933–2955.","bibtex":"@article{Aston_Dellnitz_2003, title={Computation of the dominant Lyapunov exponent via spatial integration using matrix norms}, DOI={<a href=\"https://doi.org/10.1098/rspa.2003.1143\">10.1098/rspa.2003.1143</a>}, journal={Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences}, author={Aston, P. J. and Dellnitz, M.}, year={2003}, pages={2933–2955} }","mla":"Aston, P. J., and M. Dellnitz. “Computation of the Dominant Lyapunov Exponent via Spatial Integration Using Matrix Norms.” <i>Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences</i>, 2003, pp. 2933–55, doi:<a href=\"https://doi.org/10.1098/rspa.2003.1143\">10.1098/rspa.2003.1143</a>."},"publication_identifier":{"issn":["1364-5021","1471-2946"]},"publication_status":"published","title":"Computation of the dominant Lyapunov exponent via spatial integration using matrix norms","doi":"10.1098/rspa.2003.1143","date_updated":"2022-01-06T06:52:51Z","author":[{"last_name":"Aston","full_name":"Aston, P. J.","first_name":"P. J."},{"first_name":"M.","last_name":"Dellnitz","full_name":"Dellnitz, M."}],"date_created":"2020-04-14T09:57:39Z"}]