{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,9]],"date-time":"2026-10-09T15:43:12Z","timestamp":1791560592779,"version":"4.3.4"},"reference-count":70,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Appl. Dyn. Syst."],"published-print":{"date-parts":[[2018,1]]},"abstract":"<jats:p>The dynamical behavior of networked complex systems is shaped not only by the direct links among the units, but also by the long-range interactions occurring through the many existing paths connecting the network nodes. In this work, we study how synchronization dynamics is influenced by these long-range interactions, formulating a model of coupled oscillators that incorporates this type of interactions through the use of d-path Laplacian matrices. We study synchronizability of these networks by the analysis of the Laplacian spectra, both theoretically and numerically, for real-world networks and artificial models. Our analysis reveals that in all networks long-range interactions improve network synchronizability with an impact that depends on the original structure, for instance, it is greater for graphs having a larger diameter. We also investigate the effects of edge removal in graphs with long-range interactions and, as a major result, find that the removal process becomes more critical, since the long-range influence of the removed link also disappears.<\/jats:p>","DOI":"10.1137\/17m1124310","type":"journal-article","created":{"date-parts":[[2018,3,1]],"date-time":"2018-03-01T15:13:57Z","timestamp":1519917237000},"page":"672-693","source":"Crossref","is-referenced-by-count":24,"title":["Long-Range Interactions and Network Synchronization"],"prefix":"10.1137","volume":"17","author":[{"given":"Ernesto","family":"Estrada","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lucia Valentina","family":"Gambuzza","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mattia","family":"Frasca","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2018,3,1]]},"reference":[{"key":"atypb1","unstructured":"Roget's Thesaurus of English Words and Phrases, Project Gutenberg\n                      , 2002,http:\/\/www.gutenberg.org\/ebooks\/1068."},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1038\/35019019"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.68.045202"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2008.09.002"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.2307\/1943071"},{"key":"atypb6","unstructured":"V. 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