{"status":"public","_id":"45498","external_id":{"arxiv":["2306.03320"]},"publication_status":"submitted","date_created":"2023-06-07T07:57:28Z","user_id":"97359","main_file_link":[{"url":"https://arxiv.org/pdf/2306.03320"}],"author":[{"full_name":"von der Gracht, Sören","last_name":"von der Gracht","first_name":"Sören","id":"97359","orcid":"0000-0002-8054-2058"},{"first_name":"Eddie","last_name":"Nijholt","full_name":"Nijholt, Eddie"},{"first_name":"Bob","full_name":"Rink, Bob","last_name":"Rink"}],"year":"2023","citation":{"apa":"von der Gracht, S., Nijholt, E., &#38; Rink, B. (n.d.). A parametrisation method for high-order phase reduction in coupled  oscillator networks. In <i>arXiv:2306.03320</i>.","mla":"von der Gracht, Sören, et al. “A Parametrisation Method for High-Order Phase Reduction in Coupled  Oscillator Networks.” <i>ArXiv:2306.03320</i>.","chicago":"Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “A Parametrisation Method for High-Order Phase Reduction in Coupled  Oscillator Networks.” <i>ArXiv:2306.03320</i>, n.d.","ama":"von der Gracht S, Nijholt E, Rink B. A parametrisation method for high-order phase reduction in coupled  oscillator networks. <i>arXiv:230603320</i>.","bibtex":"@article{von der Gracht_Nijholt_Rink, title={A parametrisation method for high-order phase reduction in coupled  oscillator networks}, journal={arXiv:2306.03320}, author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob} }","ieee":"S. von der Gracht, E. Nijholt, and B. Rink, “A parametrisation method for high-order phase reduction in coupled  oscillator networks,” <i>arXiv:2306.03320</i>. .","short":"S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2306.03320 (n.d.)."},"type":"preprint","department":[{"_id":"101"}],"page":"29","language":[{"iso":"eng"}],"date_updated":"2023-06-07T07:59:06Z","title":"A parametrisation method for high-order phase reduction in coupled  oscillator networks","abstract":[{"lang":"eng","text":"We present a novel method for high-order phase reduction in networks of\r\nweakly coupled oscillators and, more generally, perturbations of reducible\r\nnormally hyperbolic (quasi-)periodic tori. Our method works by computing an\r\nasymptotic expansion for an embedding of the perturbed invariant torus, as well\r\nas for the reduced phase dynamics in local coordinates. Both can be determined\r\nto arbitrary degrees of accuracy, and we show that the phase dynamics may\r\ndirectly be obtained in normal form. We apply the method to predict remote\r\nsynchronisation in a chain of coupled Stuart-Landau oscillators."}],"publication":"arXiv:2306.03320"}