{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T12:51:02Z","timestamp":1777467062352,"version":"3.51.4"},"reference-count":22,"publisher":"Institution of Engineering and Technology (IET)","issue":"5","license":[{"start":{"date-parts":[[2016,12,12]],"date-time":"2016-12-12T00:00:00Z","timestamp":1481500800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61363076"],"award-info":[{"award-number":["61363076"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IET Circuits, Devices &amp; Syst"],"published-print":{"date-parts":[[2017,9]]},"abstract":"<jats:p>\n                    A new generalised Lorenz three\u2010dimensional integer\u2010order non\u2010linear system is constructed, and integer\u2010order derivatives are simply replaced by fractional\u2010order ones. Transfer functions in Laplace domain have been calculated and compared for a set of fractional orders\n                    <jats:italic>q<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>i<\/jats:italic>\n                    <\/jats:sub>\n                    in (0, 1) with decrement of 0.025 for the maximum error\n                    <jats:italic>Y<\/jats:italic>\n                    \u2009=\u20091\u2005dB\/2\u2005dB\/3\u2005dB. A novel basic fractional\u2010order unit circuit named \u2018Assemble Type\u2019 is designed consulting to the four existing unit circuits, which are \u2018Chain Type\u2019, \u2018Tree Type\u2019, \u2018Mixed Type\u2019 and \u2018New Type\u2019. Meanwhile, it is compared with the four existing unit circuits in circuit theory and applications. The novel fractional\u2010order unit circuit is applied to the circuit simulation of Lorenz system combined with the other four unit circuits, and circuit simulation shows that they have very resemble chaotic behaviours, actually, the scheme can be applied in any tiny values of\n                    <jats:italic>q<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>i<\/jats:italic>\n                    <\/jats:sub>\n                    , which shows that the fractional\u2010order system has better effectiveness, flexibility and universality. Finally, using stability analytical method based on two stability theorems and necessary conditions to exhibit validity and feasibility of this novel\u2010type design.\n                  <\/jats:p>","DOI":"10.1049\/iet-cds.2016.0145","type":"journal-article","created":{"date-parts":[[2016,11,15]],"date-time":"2016-11-15T18:30:37Z","timestamp":1479234637000},"page":"437-445","source":"Crossref","is-referenced-by-count":7,"title":["Design of an assemble\u2010type fractional\u2010order unit circuit and its application in Lorenz system"],"prefix":"10.1049","volume":"11","author":[{"given":"Xiaohong","family":"Zhang","sequence":"first","affiliation":[{"name":"Department of Information Engineering Jiangxi University of Science and Technology Ganzhou 341000 People's Republic of China"}]},{"given":"Yanli","family":"Qi","sequence":"additional","affiliation":[{"name":"Department of Information Engineering Jiangxi University of Science and Technology Ganzhou 341000 People's Republic of China"}]}],"member":"265","published-online":{"date-parts":[[2016,12,12]]},"reference":[{"key":"e_1_2_7_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-18101-6"},{"issue":"12","key":"e_1_2_7_3_2","first-page":"1814","article-title":"Basic characteristics of a fractance device","volume":"75","author":"Nakagava M.","year":"1992","journal-title":"IEICE Trans. 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