{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T10:25:09Z","timestamp":1760783109965},"reference-count":26,"publisher":"World Scientific Pub Co Pte Lt","issue":"09","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2008,9]]},"abstract":"<jats:p> We illustrate two distinct approaches to the Mittag\u2013Leffler relaxation, as a mathematical expression suitable for the interpretation of real data produced by complex systems, and especially those of physiological interest. The first approach is based on interpreting the fluctuation\u2013dissipation process under study as obtained via Subordination to the Ordinary Fluctuation\u2013Dissipation (SOFD) process. The second approach rests on the Generalized Langevin Equation (GLE). We prove that in the real cases of truncated time series the two theories generate a survival probability in the form of a stretched exponential, and that this property makes it hard to assess if a given time series obeys the GLE or the SOFD prescription. Some conjectures are made on the possibility of distinguishing the GLE from the SOFD predictions through the analysis of a single time series. <\/jats:p>","DOI":"10.1142\/s0218127408021920","type":"journal-article","created":{"date-parts":[[2008,11,28]],"date-time":"2008-11-28T11:12:56Z","timestamp":1227870776000},"page":"2709-2716","source":"Crossref","is-referenced-by-count":3,"title":["COMPLEXITY AND GENERALIZED EXPONENTIAL RELAXATION: MEMORY VERSUS RENEWAL"],"prefix":"10.1142","volume":"18","author":[{"given":"PAOLO","family":"GRIGOLINI","sequence":"first","affiliation":[{"name":"Center for Nonlinear Science, University of North Texas, P.O. Box 311427, Denton, Texas 76203-1427, USA"},{"name":"Istituto dei Processi Chimico Fisici del CNR, Area della Ricerca di Pisa, Via G. Moruzzi, 56124, Pisa, Italy"},{"name":"Dipartimento di Fisica \"E.Fermi\" \u2014 Universit\u00e1 di Pisa, Largo Pontecorvo, 3 56127 Pisa, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1063\/1.431961"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2007.01.050"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1021\/jp993491m"},{"key":"rf4","first-page":"016125 (1-14)","volume":"73","author":"Bel G.","journal-title":"Phys. Rev. E"},{"key":"rf6","first-page":"061911 (1-10)","volume":"75","author":"Bianco S.","journal-title":"Phys. Rev. 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