{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,6]],"date-time":"2026-05-06T16:58:55Z","timestamp":1778086735341,"version":"3.51.4"},"reference-count":36,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2023,3,8]],"date-time":"2023-03-08T00:00:00Z","timestamp":1678233600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>By operating with the Scale Relativity Theory by means of two scenarios (Schr\u04e7dinger and Madelung-type scenarios) in the dynamics of complex systems, we can achieve a description of these complex systems through a holographic-type perspective. Then, a gauge invariance of the Riccati type becomes functional in complex-system dynamics, which implies several consequences: conservation laws (in particular, for dynamics, the kinetic momentum conservation law), simultaneity and synchronization among the structural units\u2019 (belonging to a complex system) dynamics, and temporal patterns through harmonic mappings. Finally, an economic case analysis is highlighted.<\/jats:p>","DOI":"10.3390\/sym15030681","type":"journal-article","created":{"date-parts":[[2023,3,8]],"date-time":"2023-03-08T03:59:32Z","timestamp":1678247972000},"page":"681","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Towards a Holographic-Type Perspective in the Analysis of Complex-System Dynamics"],"prefix":"10.3390","volume":"15","author":[{"given":"\u0218tefana","family":"Agop","sequence":"first","affiliation":[{"name":"Department of Agroeconomy, University of Life Sciences, 700490 Iasi, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dumitru","family":"Filipeanu","sequence":"additional","affiliation":[{"name":"Faculty of Civil Engineering and Buildings Services, Gheorghe Asachi Technical University, 700050 Iasi, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Claudiu-Gabriel","family":"\u021aig\u0103na\u0219","sequence":"additional","affiliation":[{"name":"Faculty of Economics and Business Administration, Alexandru Ioan Cuza University of Iasi, 700505 Iasi, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Claudia-Elena","family":"Grigora\u0219-Ichim","sequence":"additional","affiliation":[{"name":"Department of Accounting Audit and Financing, Stefan cel Mare University, 720229 Suceava, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6588-989X","authenticated-orcid":false,"given":"Lucia","family":"Moro\u0219an-D\u0103nil\u0103","sequence":"additional","affiliation":[{"name":"Department of Accounting Audit and Financing, Stefan cel Mare University, 720229 Suceava, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alina","family":"Gavrilu\u021b","sequence":"additional","affiliation":[{"name":"Department of Mathematics, \u201cAl. I. Cuza\u201d University of Iasi, 700506 Iasi, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Maricel","family":"Agop","sequence":"additional","affiliation":[{"name":"Department of Physics, \u201cGh. Asachi\u201d Technical University of Iasi, 700050 Iasi, Romania"},{"name":"Romanian Scientists Academy, 54 Splaiul Independentei, 050094 Bucharest, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gavril","family":"\u0218tefan","sequence":"additional","affiliation":[{"name":"Department of Agroeconomy, University of Life Sciences, 700490 Iasi, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,3,8]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Mitchell, M. (2009). Complexity: A Guided Tour, Oxford University Press.","DOI":"10.1093\/oso\/9780195124415.001.0001"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Badii, R. (1997). 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