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However, if we consider a system with multiple constant delays, there is no known way to obtain such a formula that determines for what values of the delays a change in stability occurs. In this paper, we present some single-delay approximations to a multidelay system obtained via a Taylor expansion as well as formulas for their critical delays which are used to approximate where the change in stability occurs in the multidelay system. We determine when our approximations perform well and we give extra analytical and numerical attention to the two-delay and three-delay settings. <\/jats:p>","DOI":"10.1142\/s0218127422500341","type":"journal-article","created":{"date-parts":[[2022,3,11]],"date-time":"2022-03-11T10:34:30Z","timestamp":1646994870000},"source":"Crossref","is-referenced-by-count":1,"title":["Multidelay Differential Equations: A Taylor Expansion Approach"],"prefix":"10.1142","volume":"32","author":[{"given":"Philip","family":"Doldo","sequence":"first","affiliation":[{"name":"Center for Applied Mathematics, Cornell University, 657 Rhodes Hall, Ithaca 14853, USA"}]},{"given":"Jamol","family":"Pender","sequence":"additional","affiliation":[{"name":"School of Operations Research and Information Engineering, Center for Applied Mathematics, Cornell University, 228 Rhodes Hall, Ithaca, NY 14853, USA"}]}],"member":"219","published-online":{"date-parts":[[2022,3,10]]},"reference":[{"key":"S0218127422500341BIB001","doi-asserted-by":"publisher","DOI":"10.1287\/moor.2020.1056"},{"key":"S0218127422500341BIB002","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139993248853"},{"key":"S0218127422500341BIB003","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2001.1.233"},{"key":"S0218127422500341BIB004","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127499001103"},{"key":"S0218127422500341BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2005.12.008"},{"key":"S0218127422500341BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-71512-2_2"},{"key":"S0218127422500341BIB007","doi-asserted-by":"publisher","DOI":"10.1007\/s002850050051"},{"key":"S0218127422500341BIB009","doi-asserted-by":"crossref","first-page":"1969","DOI":"10.1287\/mnsc.2017.2851","volume":"65","author":"Dong J.","year":"2019","journal-title":"Manag. 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