{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,15]],"date-time":"2026-06-15T14:48:30Z","timestamp":1781534910901,"version":"3.54.5"},"reference-count":31,"publisher":"World Scientific Pub Co Pte Ltd","issue":"15","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61771176"],"award-info":[{"award-number":["61771176"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62171173"],"award-info":[{"award-number":["62171173"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004731","name":"Natural Science Foundation of Zhejiang Province","doi-asserted-by":"publisher","award":["LY20F010008"],"award-info":[{"award-number":["LY20F010008"]}],"id":[{"id":"10.13039\/501100004731","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004543","name":"China Scholarship Council","doi-asserted-by":"crossref","award":["202108330371"],"award-info":[{"award-number":["202108330371"]}],"id":[{"id":"10.13039\/501100004543","id-type":"DOI","asserted-by":"crossref"}]},{"name":"USA","award":["FA 9550-18-1-0016"],"award-info":[{"award-number":["FA 9550-18-1-0016"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2022,12,15]]},"abstract":"<jats:p> Locally-active memristors blessed with an edge-of-chaos domain, which can be destabilized for generating action potentials, are natural candidates for emulating biological neurons. Pinpointing the edge-of-chaos domain, where neuromorphic behaviors may occur, is important for studying neuromorphic dynamics of memristors. This paper proposes a short-cut method for locating the edge-of-chaos domains in two kinds of generic memristors, and in several typical memristive 1-port circuits using only the Jacobian matrix in terms of their equations. Taking the Chua Corsage Memristor (CCM) and several CCM-based memristive 1-port circuits as examples, we verify the proposed new methods, and calculates their edge-of-chaos domains. Also, we carry out a complete classification of all the parameter regions of the CCM and several CCM-based memristive 1-port circuits, namely the locally-passive, locally-active but unstable, and edge-of-chaos domains, under both voltage and frequency control. Near the calculated edge-of-chaos domain, we uncover some new neuromorphic behaviors. <\/jats:p><jats:p> To confirm the physical interpretations and predictions of the edge-of-chaos theorem, this paper presents an inexpensive electronic circuit realization of the complete set of equations defining the CCM using only off-the-shelf circuit components. When this poor-man\u2019s memristor is connected to various linear passive\u00a0R, L, C circuits, and a battery, the resulting circuit can be tuned to generate action potentials, and a garden variety of neuromorphic phenomena, including chaos. <\/jats:p><jats:p> But the highlight of this paper is reserved for the CCM itself where the world\u2019s first oscilloscope picture of a contiguous self-intersecting triple-branch DC V\u2013I curve of the CCM is displayed in real time. <\/jats:p>","DOI":"10.1142\/s021812742230035x","type":"journal-article","created":{"date-parts":[[2022,12,20]],"date-time":"2022-12-20T07:39:10Z","timestamp":1671521950000},"source":"Crossref","is-referenced-by-count":11,"title":["Shortcuts to <i>Edge-of-Chaos<\/i> Domains of <i>Memristive<\/i> Circuits and <i>Historic Measurement<\/i> of Contiguous Triple-Branch <i>V \u2013 I Curve<\/i> of Chua Corsage Memristor"],"prefix":"10.1142","volume":"32","author":[{"given":"Peipei","family":"Jin","sequence":"first","affiliation":[{"name":"Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou, P. R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yan","family":"Liang","sequence":"additional","affiliation":[{"name":"Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou, P. R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6777-8234","authenticated-orcid":false,"given":"Guangyi","family":"Wang","sequence":"additional","affiliation":[{"name":"Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou, P. R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Long","family":"Chen","sequence":"additional","affiliation":[{"name":"Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou, P. R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Herbert Ho-Ching","family":"Iu","sequence":"additional","affiliation":[{"name":"School of Electrical, Electronic, and Computer Engineering, University of Western Australia, Crawley, Australia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Leon O.","family":"Chua","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2022,12,19]]},"reference":[{"key":"S021812742230035XBIB003","doi-asserted-by":"crossref","first-page":"651452-1","DOI":"10.3389\/fnins.2021.651452","volume":"15","author":"Ascoli A.","year":"2021","journal-title":"Front. Neurosci."},{"key":"S021812742230035XBIB004","first-page":"1","volume-title":"Proc. 17th Int. 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