{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,4]],"date-time":"2026-07-04T23:18:54Z","timestamp":1783207134897,"version":"3.54.6"},"reference-count":35,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,12,1]],"date-time":"2026-12-01T00:00:00Z","timestamp":1796083200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,12,1]],"date-time":"2026-12-01T00:00:00Z","timestamp":1796083200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"}],"funder":[{"DOI":"10.13039\/501100004035","name":"Jordan University of Science and Technology","doi-asserted-by":"publisher","award":["20240164"],"award-info":[{"award-number":["20240164"]}],"id":[{"id":"10.13039\/501100004035","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100007781","name":"University of Kurdistan Hewl\u00ear","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100007781","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000038","name":"Natural Sciences and Engineering Research Council of Canada","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000038","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Mathematics and Computers in Simulation"],"published-print":{"date-parts":[[2026,12]]},"DOI":"10.1016\/j.matcom.2026.06.013","type":"journal-article","created":{"date-parts":[[2026,6,25]],"date-time":"2026-06-25T15:18:18Z","timestamp":1782400698000},"page":"209-233","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Influence of large mean delay on distributed delay differential equations dynamics: Application to a neural mass model"],"prefix":"10.1016","volume":"250","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8412-2624","authenticated-orcid":false,"given":"Isam","family":"Al-Darabsah","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7399-7783","authenticated-orcid":false,"given":"Sue Ann","family":"Campbell","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bootan","family":"Rahman","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"issue":"22","key":"10.1016\/j.matcom.2026.06.013_b1","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.96.220201","article-title":"Eckhaus instability in systems with large delay","volume":"96","author":"Wolfrum","year":"2006","journal-title":"Phys. Rev. Lett."},{"issue":"5","key":"10.1016\/j.matcom.2026.06.013_b2","doi-asserted-by":"crossref","first-page":"795","DOI":"10.1103\/PhysRevLett.86.795","article-title":"Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers","volume":"86","author":"Heil","year":"2001","journal-title":"Phys. Rev. Lett."},{"issue":"1","key":"10.1016\/j.matcom.2026.06.013_b3","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1146\/annurev.ne.16.030193.001255","article-title":"Processing of temporal information in the brain","volume":"16","author":"Carr","year":"1993","journal-title":"Annu. Rev. Neurosci."},{"issue":"1\u20134","key":"10.1016\/j.matcom.2026.06.013_b4","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1016\/S0167-2789(97)00318-7","article-title":"Multiple scale analysis of delayed dynamical systems","volume":"117","author":"Giacomelli","year":"1998","journal-title":"Phys. D"},{"key":"10.1016\/j.matcom.2026.06.013_b5","series-title":"Theoretical Ecology: Principles and Applications","author":"May","year":"2007"},{"issue":"4300","key":"10.1016\/j.matcom.2026.06.013_b6","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1126\/science.267326","article-title":"Oscillation and chaos in physiological control systems","volume":"197","author":"Mackey","year":"1977","journal-title":"Science"},{"key":"10.1016\/j.matcom.2026.06.013_b7","volume":"vol. 191","author":"Kuang","year":"1993"},{"key":"10.1016\/j.matcom.2026.06.013_b8","series-title":"Delay Equations: Functional-, Complex-, and Nonlinear Analysis","author":"Diekmann","year":"1995"},{"key":"10.1016\/j.matcom.2026.06.013_b9","volume":"vol. 99","author":"Hale","year":"1993"},{"key":"10.1016\/j.matcom.2026.06.013_b10","volume":"vol. 178","author":"Insperger","year":"2011"},{"key":"10.1016\/j.matcom.2026.06.013_b11","doi-asserted-by":"crossref","DOI":"10.1016\/j.physd.2020.132559","article-title":"A phase model with large time delayed coupling","volume":"411","author":"Al-Darabsah","year":"2020","journal-title":"Phys. D"},{"issue":"17","key":"10.1016\/j.matcom.2026.06.013_b12","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.122.174102","article-title":"Excitable wave patterns in temporal systems with two long delays and their observation in a semiconductor laser experiment","volume":"122","author":"Marino","year":"2019","journal-title":"Phys. Rev. Lett."},{"issue":"11","key":"10.1016\/j.matcom.2026.06.013_b13","doi-asserted-by":"crossref","DOI":"10.1088\/1367-2630\/14\/11\/113033","article-title":"Delay-induced dynamics and jitter reduction of passively mode-locked semiconductor lasers subject to optical feedback","volume":"14","author":"Otto","year":"2012","journal-title":"New J. Phys."},{"issue":"17","key":"10.1016\/j.matcom.2026.06.013_b14","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.112.174103","article-title":"Pattern formation in systems with multiple delayed feedbacks","volume":"112","author":"Yanchuk","year":"2014","journal-title":"Phys. Rev. Lett."},{"issue":"2","key":"10.1016\/j.matcom.2026.06.013_b15","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1134\/S0012266124020010","article-title":"Logistic equation with long delay feedback","volume":"60","author":"Kashchenko","year":"2024","journal-title":"Differ. Equ."},{"issue":"1","key":"10.1016\/j.matcom.2026.06.013_b16","doi-asserted-by":"crossref","first-page":"4207","DOI":"10.1038\/s41598-023-31248-w","article-title":"On the stability & phase locking to a system reference of an optoelectronic oscillator with large delay","volume":"13","author":"Hasan","year":"2023","journal-title":"Sci. Rep."},{"issue":"1","key":"10.1016\/j.matcom.2026.06.013_b17","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1140\/epjst\/e2010-01343-7","article-title":"Complex dynamics in delay-differential equations with large delay","volume":"191","author":"Wolfrum","year":"2010","journal-title":"Eur. Phys. J.-Spec. Top."},{"issue":"2","key":"10.1016\/j.matcom.2026.06.013_b18","doi-asserted-by":"crossref","first-page":"788","DOI":"10.1137\/090766796","article-title":"The spectrum of delay differential equations with large delay","volume":"43","author":"Lichtner","year":"2011","journal-title":"SIAM J. Math. Anal."},{"issue":"2","key":"10.1016\/j.matcom.2026.06.013_b19","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.74.026201","article-title":"Control of unstable steady states by long delay feedback","volume":"74","author":"Yanchuk","year":"2006","journal-title":"Phys. Rev. E"},{"key":"10.1016\/j.matcom.2026.06.013_b20","doi-asserted-by":"crossref","first-page":"366","DOI":"10.1016\/j.jde.2024.06.029","article-title":"Universal bifurcation scenarios in delay-differential equations with one delay","volume":"406","author":"Wang","year":"2024","journal-title":"J. Differential Equations"},{"key":"10.1016\/j.matcom.2026.06.013_b21","series-title":"Multiple-scale analysis of the simplest large-delay differential equation","author":"Kozyreff","year":"2023"},{"issue":"10","key":"10.1016\/j.matcom.2026.06.013_b22","doi-asserted-by":"crossref","DOI":"10.1088\/1751-8121\/50\/10\/103001","article-title":"Spatio-temporal phenomena in complex systems with time delays","volume":"50","author":"Yanchuk","year":"2017","journal-title":"J. Phys. A"},{"issue":"3","key":"10.1016\/j.matcom.2026.06.013_b23","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1002\/mma.584","article-title":"Properties of stationary states of delay equations with large delay and applications to laser dynamics","volume":"28","author":"Yanchuk","year":"2005","journal-title":"Math. Methods Appl. Sci."},{"issue":"1","key":"10.1016\/j.matcom.2026.06.013_b24","doi-asserted-by":"crossref","first-page":"151","DOI":"10.3934\/dcdss.2020321","article-title":"The spectrum of delay differential equations with multiple hierarchical large delays","volume":"14","author":"Ruschel","year":"2021","journal-title":"Discret. Contin. Dyn. Syst.-S"},{"issue":"4","key":"10.1016\/j.matcom.2026.06.013_b25","doi-asserted-by":"crossref","first-page":"3013","DOI":"10.1137\/23M1618028","article-title":"Distributed delay and desynchronization in a neural mass model","volume":"23","author":"Al-Darabsah","year":"2024","journal-title":"SIAM J. Appl. Dyn. Syst."},{"issue":"1","key":"10.1016\/j.matcom.2026.06.013_b26","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0006-3495(72)86068-5","article-title":"Excitatory and inhibitory interactions in localized populations of model neurons","volume":"12","author":"Wilson","year":"1972","journal-title":"Biophys. J."},{"issue":"6","key":"10.1016\/j.matcom.2026.06.013_b27","doi-asserted-by":"crossref","first-page":"643","DOI":"10.1007\/s00422-021-00912-7","article-title":"Evolution of the Wilson\u2013Cowan equations","volume":"115","author":"Wilson","year":"2021","journal-title":"Biol. Cybernet."},{"key":"10.1016\/j.matcom.2026.06.013_b28","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/j.neuroimage.2015.08.069","article-title":"Local inhibitory plasticity tunes macroscopic brain dynamics and allows the emergence of functional brain networks","volume":"124","author":"Hellyer","year":"2016","journal-title":"NeuroImage"},{"issue":"8","key":"10.1016\/j.matcom.2026.06.013_b29","doi-asserted-by":"crossref","DOI":"10.1063\/1.5026489","article-title":"Chaos in homeostatically regulated neural systems","volume":"28","author":"Nicola","year":"2018","journal-title":"Chaos"},{"key":"10.1016\/j.matcom.2026.06.013_b30","first-page":"58","article-title":"The impact of small time delays on the onset of oscillations and synchrony in brain networks","author":"Al-Darabsah","year":"2021","journal-title":"Front. Syst. Neurosci."},{"issue":"2","key":"10.1016\/j.matcom.2026.06.013_b31","doi-asserted-by":"crossref","first-page":"1158","DOI":"10.1137\/20M1370082","article-title":"Normalized connectomes show increased synchronizability with age through their second largest eigenvalue","volume":"20","author":"Nicola","year":"2021","journal-title":"SIAM J. Appl. Dyn. Syst."},{"key":"10.1016\/j.matcom.2026.06.013_b32","series-title":"The Control Handbook (Three Volume Set)","author":"Levine","year":"2018"},{"key":"10.1016\/j.matcom.2026.06.013_b33","series-title":"Complex Analysis","author":"Gamelin","year":"2001"},{"key":"10.1016\/j.matcom.2026.06.013_b34","series-title":"Matrix Mathematics: Theory, Facts, and Formulas","author":"Bernstein","year":"2009"},{"key":"10.1016\/j.matcom.2026.06.013_b35","volume":"vol. 8","author":"Fuks","year":"1963"}],"container-title":["Mathematics and Computers in Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0378475426002570?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0378475426002570?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,7,4]],"date-time":"2026-07-04T23:07:50Z","timestamp":1783206470000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0378475426002570"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,12]]},"references-count":35,"alternative-id":["S0378475426002570"],"URL":"https:\/\/doi.org\/10.1016\/j.matcom.2026.06.013","relation":{},"ISSN":["0378-4754"],"issn-type":[{"value":"0378-4754","type":"print"}],"subject":[],"published":{"date-parts":[[2026,12]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Influence of large mean delay on distributed delay differential equations dynamics: Application to a neural mass model","name":"articletitle","label":"Article Title"},{"value":"Mathematics and Computers in Simulation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.matcom.2026.06.013","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}]}}