{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T10:41:23Z","timestamp":1760784083339},"reference-count":25,"publisher":"World Scientific Pub Co Pte Lt","issue":"12","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2015,11]]},"abstract":"<jats:p> Unraveling parameters in real systems, such as physical systems and biological systems, is one of the central topics in model-driven research including computational systems biology. The existing adaptive synchronization technique, though theoretically proved to be valid for parameters identification in some representative models, is always showing unsatisfactory convergence rate when the number of parameters increases and real data are taken into account. In this paper, a piecewise adaptive rule with a fractional power based on finite time control is proposed to accelerate the rate for parameter identification. The global feasibility of the proposed rule is proved theoretically and illustrated by several examples of physical and biological significance. <\/jats:p>","DOI":"10.1142\/s0218127415501667","type":"journal-article","created":{"date-parts":[[2015,12,3]],"date-time":"2015-12-03T06:30:18Z","timestamp":1449124218000},"page":"1550166","source":"Crossref","is-referenced-by-count":3,"title":["Parameters Identification by a Piecewise Adaptive Rule with a Fractional Power"],"prefix":"10.1142","volume":"25","author":[{"given":"Bing","family":"Xu","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences and Centre for Computational Systems Biology, Fudan University, Shanghai 200433, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei","family":"Lin","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences and Centre for Computational Systems Biology, Fudan University, Shanghai 200433, P. R. China"},{"name":"Shanghai Key Laboratory of Data Sciences and Shanghai Centre for Mathematical Sciences, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2015,12,2]]},"reference":[{"key":"S0218127415501667BIB1","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012997321358"},{"key":"S0218127415501667BIB2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-010-9869-1"},{"key":"S0218127415501667BIB3","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127411029197"},{"key":"S0218127415501667BIB4","doi-asserted-by":"publisher","DOI":"10.1007\/b97702"},{"key":"S0218127415501667BIB5","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.90.022909"},{"key":"S0218127415501667BIB6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.73.066204"},{"key":"S0218127415501667BIB7","doi-asserted-by":"publisher","DOI":"10.1142\/S021812741450134X"},{"key":"S0218127415501667BIB8","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2003.823141"},{"key":"S0218127415501667BIB9","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pcbi.1002094"},{"key":"S0218127415501667BIB10","volume-title":"Mathematical Physiology","author":"Keener J","year":"2010","edition":"2"},{"key":"S0218127415501667BIB11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.75.066212"},{"key":"S0218127415501667BIB12","volume-title":"Elements of Physical Biology","author":"Lotka A. J.","year":"1958"},{"key":"S0218127415501667BIB13","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2009.10.035"},{"key":"S0218127415501667BIB14","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.82.066210"},{"key":"S0218127415501667BIB15","doi-asserted-by":"publisher","DOI":"10.1137\/120875247"},{"key":"S0218127415501667BIB16","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.87.050901"},{"key":"S0218127415501667BIB17","doi-asserted-by":"publisher","DOI":"10.1126\/science.298.5594.824"},{"key":"S0218127415501667BIB18","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2014.05.028"},{"key":"S0218127415501667BIB19","doi-asserted-by":"publisher","DOI":"10.1126\/science.1087822"},{"key":"S0218127415501667BIB20","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2012.08.040"},{"key":"S0218127415501667BIB21","doi-asserted-by":"publisher","DOI":"10.1038\/mp.2011.127"},{"key":"S0218127415501667BIB22","doi-asserted-by":"crossref","DOI":"10.1515\/9780691187655","volume-title":"Mathematics in Population Biology","author":"Thieme H. R.","year":"2003"},{"key":"S0218127415501667BIB23","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008880518515"},{"key":"S0218127415501667BIB24","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2006.06.007"},{"key":"S0218127415501667BIB25","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.75.067201"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127415501667","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T03:05:44Z","timestamp":1565147144000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127415501667"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,11]]},"references-count":25,"journal-issue":{"issue":"12","published-online":{"date-parts":[[2015,12,2]]},"published-print":{"date-parts":[[2015,11]]}},"alternative-id":["10.1142\/S0218127415501667"],"URL":"https:\/\/doi.org\/10.1142\/s0218127415501667","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,11]]}}}