{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,8]],"date-time":"2026-04-08T00:56:46Z","timestamp":1775609806607,"version":"3.50.1"},"reference-count":23,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2024,12,27]],"date-time":"2024-12-27T00:00:00Z","timestamp":1735257600000},"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 assimilating any complex system into a multifractal, a new approach for describing the dynamics of such systems is proposed by means of the Multifractal Theory of Motion. In such context, the description of these dynamics is accomplished through continuous and non-differentiable curves (multifractal curves), giving rise to two scenarios. The first scenario is a Schr\u00f6dinger-type multifractal scenario, a situation in which the motion laws can be related to the SL(2R) algebra invariant functions. The second scenario is a Madelung-type multifractal scenario, a situation in which if the differentiable and non-differentiable components of the velocity field satisfy a particular restriction, an SL(2R) symmetry can also be highlighted. Moreover, correlative dynamics in either of the two scenarios, based on the same SL(2R) symmetry, can be obtained by Riccati-type gauges, which imply Stoler coherent states. Several cases induced by the SL(2R) symmetry are also analyzed.<\/jats:p>","DOI":"10.3390\/sym17010027","type":"journal-article","created":{"date-parts":[[2024,12,27]],"date-time":"2024-12-27T02:59:27Z","timestamp":1735268367000},"page":"27","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Correlative Dynamics of Complex Systems: A Multifractal Perspective of Motion Based on SL(2R) Symmetry"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8233-8862","authenticated-orcid":false,"given":"Vlad","family":"Ghizdovat","sequence":"first","affiliation":[{"name":"Biophysics and Medical Physics Department, \u201cGrigore T. Popa\u201d University of Medicine and Pharmacy, 700115 Iasi, Romania"}]},{"given":"Emanuel","family":"Nazaretian","sequence":"additional","affiliation":[{"name":"Faculty of Machine Manufacturing and Industrial Management, \u201cGheorghe Asachi\u201d Technical University, 700050 Iasi, Romania"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9027-1167","authenticated-orcid":false,"given":"Catalin Gabriel","family":"Dumitras","sequence":"additional","affiliation":[{"name":"Faculty of Machine Manufacturing and Industrial Management, \u201cGheorghe Asachi\u201d Technical University, 700050 Iasi, Romania"}]},{"given":"Maricel","family":"Agop","sequence":"additional","affiliation":[{"name":"Physics Department, \u201cGheorghe Asachi\u201d Technical University, Prof. dr. docent Dimitrie Mangeron Rd., No. 59A, 700050 Iasi, Romania"},{"name":"Academy of Romanian Scientists, 3 Ilfov, 050044 Bucharest, Romania"}]},{"given":"Constantin","family":"Placinta","sequence":"additional","affiliation":[{"name":"Faculty of Material Science and Engineering, \u201cGheorghe Asachi\u201d Technical University, 700050 Iasi, Romania"}]},{"given":"Calin","family":"Buzea","sequence":"additional","affiliation":[{"name":"National Institute of Research and Development for Technical Physics, 700050 Iasi, Romania"}]},{"given":"Cristina Marcela","family":"Rusu","sequence":"additional","affiliation":[{"name":"Physics Department, \u201cGheorghe Asachi\u201d Technical University, Prof. dr. docent Dimitrie Mangeron Rd., No. 59A, 700050 Iasi, Romania"}]},{"given":"Decebal","family":"Vasincu","sequence":"additional","affiliation":[{"name":"Biophysics Department, Faculty of Dental Medicine, \u201cGrigore T. Popa\u201d University of Medicine and Pharmacy, 16 University Str., 700115 Iasi, Romania"}]},{"given":"Zoltan","family":"Borsos","sequence":"additional","affiliation":[{"name":"Information Tehnology, Informatics, Mathematics and Physics Department, Faculty of Letters and Sciences, Petroleum-Gas University of Ploiesti, No. 39 Bucuresti Blv., 100680 Ploiesti, Romania"}]}],"member":"1968","published-online":{"date-parts":[[2024,12,27]]},"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). Complexity: Hierarchical Structures and Scaling in Physics, Cambridge University Press.","DOI":"10.1017\/CBO9780511524691"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Bar-Yam, Y. (2019). 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