{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,14]],"date-time":"2026-03-14T14:54:01Z","timestamp":1773500041006,"version":"3.50.1"},"reference-count":64,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2017,5,30]],"date-time":"2017-05-30T00:00:00Z","timestamp":1496102400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Individuals often develop reluctance to change their social relations, called \u201csecondary homebody\u201d, even though their interactions with their environment evolve with time. Some memory effect is loosely present deforcing changes. In other words, in the presence of memory, relations do not change easily. In order to investigate some history or memory effect on social networks, we introduce a temporal kernel function into the Heider conventional balance theory, allowing for the \u201cquality\u201d of past relations to contribute to the evolution of the system. This memory effect is shown to lead to the emergence of aged networks, thereby perfectly describing\u2014and what is more, measuring\u2014the aging process of links (\u201csocial relations\u201d). It is shown that such a memory does not change the dynamical attractors of the system, but does prolong the time necessary to reach the \u201cbalanced states\u201d. The general trend goes toward obtaining either global (\u201cparadise\u201d or \u201cbipolar\u201d) or local (\u201cjammed\u201d) balanced states, but is profoundly affected by aged relations. The resistance of elder links against changes decelerates the evolution of the system and traps it into so named glassy states. In contrast to balance configurations which live on stable states, such long-lived glassy states can survive in unstable states.<\/jats:p>","DOI":"10.3390\/e19060246","type":"journal-article","created":{"date-parts":[[2017,5,30]],"date-time":"2017-05-30T04:35:42Z","timestamp":1496118942000},"page":"246","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":25,"title":["Glassy States of Aging Social Networks"],"prefix":"10.3390","volume":"19","author":[{"given":"Foroogh","family":"Hassanibesheli","sequence":"first","affiliation":[{"name":"Department of Physics, Shahid Beheshti University, G.C., Evin, Tehran 19839, Iran"},{"name":"AGH University of Science and Technology, Faculty of Physics and Applied Computer Science, al. Mickiewicza 30, 30-059 Krakow, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Leila","family":"Hedayatifar","sequence":"additional","affiliation":[{"name":"Department of Physics, Shahid Beheshti University, G.C., Evin, Tehran 19839, Iran"},{"name":"AGH University of Science and Technology, Faculty of Physics and Applied Computer Science, al. Mickiewicza 30, 30-059 Krakow, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hadise","family":"Safdari","sequence":"additional","affiliation":[{"name":"Department of Physics, Shahid Beheshti University, G.C., Evin, Tehran 19839, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marcel","family":"Ausloos","sequence":"additional","affiliation":[{"name":"Group of Researchers for Applications of Physics in Economy and Sociology (GRAPES), rue de la Belle Jardiniere 483, B-4031 Angleur, Belgium"},{"name":"School of Business, University of Leicester, University Road, Leicester LE1 7RH, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G.","family":"Jafari","sequence":"additional","affiliation":[{"name":"Department of Physics, Shahid Beheshti University, G.C., Evin, Tehran 19839, Iran"},{"name":"The Institute for Brain and Cognitive Science (IBCS), Shahid Beheshti University, G.C., Evin, Tehran 19839, Iran"},{"name":"Center for Network Science, Central European University, H-1051 Budapest, Hungary"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,5,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1080\/00223980.1946.9917275","article-title":"Attitudes and cognitive organization","volume":"21","author":"Heider","year":"1946","journal-title":"J. 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