{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T14:07:47Z","timestamp":1774966067830,"version":"3.50.1"},"reference-count":30,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2025,1,24]],"date-time":"2025-01-24T00:00:00Z","timestamp":1737676800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62371242"],"award-info":[{"award-number":["62371242"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"University of Electronic Science and Technology of China","award":["62371242"],"award-info":[{"award-number":["62371242"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>By introducing fractional exponentiation into a three-dimensional chaotic system, a jerk system with only six terms is designed. It has the property of total amplitude control, where a single non-bifurcation parameter can directly rescale all system variables without affecting the dynamics. It also features two-dimensional offset boosting, where a single parameter can realize direct offset boosting while another provides interlocked cross-dimensional offset boosting. Furthermore, this jerk system has a parameter-dominated symmetric attractor, which means that symmetric attractors appear successively as the parameter changes from positive to negative. Circuit experiments confirm the feasibility of analog fractional exponentiation using the 444 circuit and the complete control, including amplitude control and offset boosting, of the resulting system. The proposed circuit may facilitate applications of chaotic signal generators where signal versatility is important and exemplifies the generative potential of analog fractional exponentiation.<\/jats:p>","DOI":"10.3390\/sym17020174","type":"journal-article","created":{"date-parts":[[2025,1,24]],"date-time":"2025-01-24T04:32:22Z","timestamp":1737693142000},"page":"174","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["A Chaotic Jerk Oscillator with Complete Control via Fractional Exponentiation and Its Experimental Analog Circuit Realization"],"prefix":"10.3390","volume":"17","author":[{"given":"Menghui","family":"Shen","sequence":"first","affiliation":[{"name":"School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9932-0914","authenticated-orcid":false,"given":"Chunbiao","family":"Li","sequence":"additional","affiliation":[{"name":"School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China"},{"name":"School of Artificial Intelligence, Nanjing University of Information Science and Technology, Nanjing 210044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0008-8076-0048","authenticated-orcid":false,"given":"Xiaoliang","family":"Cen","sequence":"additional","affiliation":[{"name":"School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Manyu","family":"Zhao","sequence":"additional","affiliation":[{"name":"School of Life Science and Technology, University of Electronic Science and Technology of China, Chengdu 611731, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuanxiao","family":"Xu","sequence":"additional","affiliation":[{"name":"Digital City Intelligence Research Institute, China Information Consulting & Designing Institute Co. Ltd., Nanjing 210019, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2532-1674","authenticated-orcid":false,"given":"Ludovico","family":"Minati","sequence":"additional","affiliation":[{"name":"School of Life Science and Technology, University of Electronic Science and Technology of China, Chengdu 611731, China"},{"name":"Center for Mind\/Brain Sciences (CIMeC), University of Trento, 38123 Trento, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,1,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"767","DOI":"10.1016\/S0960-0779(01)00052-2","article-title":"Control of chaos in Lorenz system","volume":"13","author":"Yang","year":"2002","journal-title":"Chaos Solitons Fractals"},{"key":"ref_2","first-page":"3344","article-title":"Simplified memristive Lorenz oscillator","volume":"69","author":"Jiang","year":"2022","journal-title":"IEEE Trans. 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