{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,1]],"date-time":"2025-12-01T06:34:52Z","timestamp":1764570892612,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2020,8,13]],"date-time":"2020-08-13T00:00:00Z","timestamp":1597276800000},"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>In a multifractal paradigm of motion, nonlinear behavior of transient periodic plasmas, such as Schrodinger and hydrodynamic-type regimes, at various scale resolutions are represented. In a stationary case of Schrodinger-type regimes, the functionality of \u201chidden symmetry\u201d of the group SL (2R) is implied though Riccati\u2013Gauge different \u201csynchronization modes\u201d among period plasmas\u2019 structural units. These modes, expressed in the form of period doubling, damped oscillations, quasi-periodicity, intermittences, etc., mimic the various non-linear behaviors of the transient plasma dynamics similar to chaos transitions scenarios. In the hydrodynamic regime, the non-Newtonian behavior of the transient plasma dynamics can be corelated with the viscous tension tensor of the multifractal type. The predictions given by our theoretical model are confronted with experimental data depicting electronic and ionic oscillatory dynamics seen by implementing the Langmuir probe technique on transient plasmas generated by ns-laser ablation of nickel and manganese targets.<\/jats:p>","DOI":"10.3390\/sym12081356","type":"journal-article","created":{"date-parts":[[2020,8,13]],"date-time":"2020-08-13T09:23:44Z","timestamp":1597310624000},"page":"1356","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Non-Linear Behaviors of Transient Periodic Plasma Dynamics in a Multifractal Paradigm"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4592-6814","authenticated-orcid":false,"given":"Stefan-Andrei","family":"Irimiciuc","sequence":"first","affiliation":[{"name":"National Institute for Laser, Plasma and Radiation Physics, 409 Atomistilor Street, 077125 Bucharest, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexandra","family":"Saviuc","sequence":"additional","affiliation":[{"name":"Faculty of Physics, Alexandru Ioan Cuza University of Iasi, 700506 Iasi, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Florin","family":"Tudose-Sandu-Ville","sequence":"additional","affiliation":[{"name":"Mechanics Faculty, \u201cGh. Asachi\u201d Technical University of Iasi, 700050 Iasi, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4623-9175","authenticated-orcid":false,"given":"Stefan","family":"Toma","sequence":"additional","affiliation":[{"name":"Department of Material Science and Engineering, \u201cGheorghe Asachi\u201d Technical University, 700050 Iasi, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Florin","family":"Nedeff","sequence":"additional","affiliation":[{"name":"Mechanical Engineering, \u2018\u2018Vasile Alecsandri\u2019\u2019 University of Bacau, Calea Marasesti, 600115 Bacau, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cristina Marcela","family":"Rusu","sequence":"additional","affiliation":[{"name":"Department of Physics, \u201cGh. Asachi\u201d Technical University of Iasi, 700050 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"}]}],"member":"1968","published-online":{"date-parts":[[2020,8,13]]},"reference":[{"key":"ref_1","unstructured":"Luis, G. (1993). Complex Fluids, Springer."},{"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":"Mitchell, M. (2009). 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