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Appl. Dyn. Syst."],"published-print":{"date-parts":[[2024,6,30]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>We study synchronization for linearly coupled temporal networks of heterogeneous time-dependent nonlinear agents via the convergence of attracting trajectories of each node. The results are obtained by constructing and studying the stability of a suitable linear nonautonomous problem bounding the evolution of the synchronization errors. Both the case of the entire network and that of only a cluster are addressed, and the persistence of the obtained synchronization against perturbation is also discussed. Furthermore, a sufficient condition for the existence of attracting trajectories of each node is given. In all cases, the considered dependence on time requires only local integrability, which is a very mild regularity assumption. Moreover, our results mainly depend on the network structure and its properties and achieve synchronization up to a constant in finite time. Hence they are quite suitable for applications. The applicability of the results is showcased via several examples: coupled van\u00a0der\u00a0Pol\/FitzHugh\u2013Nagumo oscillators, weighted\/signed opinion dynamics, and coupled Lorenz systems.<\/jats:p>","DOI":"10.1137\/23m1602024","type":"journal-article","created":{"date-parts":[[2024,6,19]],"date-time":"2024-06-19T04:01:26Z","timestamp":1718769686000},"page":"1540-1578","source":"Crossref","is-referenced-by-count":1,"title":["Persistent Synchronization of Heterogeneous Networks with Time-Dependent Linear Diffusive Coupling"],"prefix":"10.1137","volume":"23","author":[{"given":"Hildeberto","family":"Jard\u00f3n-Kojakhmetov","sequence":"first","affiliation":[{"name":"Faculty of Science and Engineering, Dynamical Systems, Geometry & Mathematical Physics, Bernoulli Institute, University of Groningen, Nijenborgh 9, Groningen, The Netherlands."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7063-6173","authenticated-orcid":true,"given":"Christian","family":"Kuehn","sequence":"additional","affiliation":[{"name":"School of Computation Information and Technology, Technical University of Munich, Garching bei M\u00fcnchen, Germany."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1820-4274","authenticated-orcid":true,"given":"Iacopo P.","family":"Longo","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Imperial College London, DynamIC, South Kensington Campus, London, UK."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2024,6,19]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1063\/1.2168395"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(77)90127-9"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pcbi.1003171"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1145\/3388392.3388403"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2004.03.013"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2004.03.012"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2023.08.001"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1111\/j.2041-210X.2012.00236.x"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.74.016102"},{"key":"ref10","volume-title":"Introduction to the Mathematical Theory of Control","volume":"1","author":"Bressan A.","year":"2007"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1142\/S0219493708002184"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1063\/5.0065310"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.76.016104"},{"key":"ref14","series-title":"Lecture Notes in Math. 629","volume-title":"Dichotomies in Stability Theory","author":"Coppel W. 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