{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T10:52:18Z","timestamp":1760784738755,"version":"3.41.2"},"reference-count":47,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2019,11,26]],"date-time":"2019-11-26T00:00:00Z","timestamp":1574726400000},"content-version":"vor","delay-in-days":329,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61671245","51777016","51607013","61601062"],"award-info":[{"award-number":["61671245","51777016","51607013","61601062"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2019,1]]},"abstract":"<jats:p>In this paper, a four\u2010dimensional (4\u2010D) memristor\u2010based Colpitts system is reaped by employing an ideal memristor to substitute the exponential nonlinear term of original three\u2010dimensional (3\u2010D) Colpitts oscillator model, from which the initials\u2010dependent extreme multistability is exhibited by phase portraits and local basins of attraction. To explore dynamical mechanism, an equivalent 3\u2010D dimensionality reduction model is built using the state variable mapping (SVM) method, which allows the implicit initials of the 4\u2010D memristor\u2010based Colpitts system to be changed into the corresponding explicitly initials\u2010related system parameters of the 3\u2010D dimensionality reduction model. The initials\u2010related equilibria of the 3\u2010D dimensionality reduction model are derived and their initials\u2010related stabilities are discussed, upon which the dynamical mechanism is quantitatively explored. Furthermore, the initials\u2010dependent extreme multistability is depicted by two\u2010parameter plots and the coexistence of infinitely many attractors is demonstrated by phase portraits, which is confirmed by PSIM circuit simulations based on a physical circuit.<\/jats:p>","DOI":"10.1155\/2019\/4308549","type":"journal-article","created":{"date-parts":[[2019,11,26]],"date-time":"2019-11-26T23:41:57Z","timestamp":1574811717000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Dimensionality Reduction Reconstitution for Extreme Multistability in Memristor\u2010Based Colpitts System"],"prefix":"10.1155","volume":"2019","author":[{"given":"Yunzhen","family":"Zhang","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9264-0723","authenticated-orcid":false,"given":"Zhong","family":"Liu","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1841-7608","authenticated-orcid":false,"given":"Mo","family":"Chen","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9480-033X","authenticated-orcid":false,"given":"Huagan","family":"Wu","sequence":"additional","affiliation":[]},{"given":"Shengyao","family":"Chen","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6413-3038","authenticated-orcid":false,"given":"Bocheng","family":"Bao","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2019,11,26]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127407017161"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1109\/81.788813"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.4946813"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2012.2190814"},{"key":"e_1_2_9_5_2","article-title":"Hidden bursting firings and bifurcation mechanisms in memristive neuron model with threshold electromagnetic induction","author":"Bao H.","year":"2019","journal-title":"IEEE Transactions on Neural Networks and Learning Systems"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2014.2334701"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-016-2988-6"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2016.03.060"},{"key":"e_1_2_9_9_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-017-3397-1"},{"key":"e_1_2_9_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2017.10.001"},{"key":"e_1_2_9_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2018.07.025"},{"key":"e_1_2_9_12_2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127418500505"},{"key":"e_1_2_9_13_2","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2019.2907444"},{"key":"e_1_2_9_14_2","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/5935637"},{"key":"e_1_2_9_15_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.4979039"},{"key":"e_1_2_9_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-017-3507-0"},{"key":"e_1_2_9_17_2","doi-asserted-by":"publisher","DOI":"10.1155\/2015\/249102"},{"key":"e_1_2_9_18_2","doi-asserted-by":"crossref","unstructured":"DengH. 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