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However, most parts of hidden multiscroll attractors previously reported were repeated by the same type of attractor, and the composite of different types of attractors appeared rarely. In this paper, a memristor-based chaotic system, which can generate composite attractors with one up to six scrolls, is proposed. These composite attractors have different forms, similar to the Chua\u2019s double scroll and jerk double scroll. Through theoretical analysis, we find that the new system has no fixed point; that is to say, all of the composite multiscroll attractors are hidden attractors. Additionally, some complicated dynamic behaviors including various hidden coexisting attractors, extreme multistability, and transient transition are explored. Moreover, hardware circuit using discrete components is implemented, and its experimental results supported the numerical simulations results.<\/jats:p>","DOI":"10.1155\/2020\/3259468","type":"journal-article","created":{"date-parts":[[2020,11,21]],"date-time":"2020-11-21T02:35:13Z","timestamp":1605926113000},"page":"1-13","source":"Crossref","is-referenced-by-count":3,"title":["Composite One- to Six-Scroll Hidden Attractors in a Memristor-Based Chaotic System and Their Circuit Implementation"],"prefix":"10.1155","volume":"2020","author":[{"given":"Ying","family":"Li","sequence":"first","affiliation":[{"name":"School of Physics and Optoelectronic Engineering, Xiangtan University, Xiangtan, Hunan 411105, China"}]},{"given":"Xiaozhu","family":"Xia","sequence":"additional","affiliation":[{"name":"School of Physics and Optoelectronic Engineering, Xiangtan University, Xiangtan, Hunan 411105, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0623-744X","authenticated-orcid":true,"given":"Yicheng","family":"Zeng","sequence":"additional","affiliation":[{"name":"School of Physics and Optoelectronic Engineering, Xiangtan University, Xiangtan, Hunan 411105, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6210-6033","authenticated-orcid":true,"given":"Qinghui","family":"Hong","sequence":"additional","affiliation":[{"name":"College of Computer Science and Electronic Engineering, Hunan University, Changsha, Hunan 410000, China"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.2006.1839"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2019.07.016"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijleo.2018.12.178"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2017.08.012"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2007.10.041"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1140\/epjst\/e2015-02469-8"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1142\/s0218127418501250"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1063\/1.4977417"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2019.06.025"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-017-3378-4"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2013.01.009"},{"key":"12","first-page":"163","article-title":"A case of the existence of a countable number of periodic motions","volume":"6","author":"L. 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