{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,4]],"date-time":"2024-07-04T23:30:39Z","timestamp":1720135839874},"reference-count":22,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2014,5]]},"abstract":"<jats:p> This study presents a cellular-based mapping for a special class of dynamical systems for embedding neuron models, by exploiting an efficient memristor crossbar-based circuit for its implementation. The resultant reconfigurable memristive dynamical circuit exhibits various bifurcation phenomena, and responses that are characteristic of dynamical systems. High programmability of the circuit enables it to be applied to real-time applications, learning systems, and analytically indescribable dynamical systems. Moreover, its efficient implementation platform makes it an appropriate choice for on-chip applications and prostheses. We apply this method to the Izhikevich, and FitzHugh\u2013Nagumo neuron models as case studies, and investigate the dynamical behaviors of these circuits. <\/jats:p>","DOI":"10.1142\/s021812741430016x","type":"journal-article","created":{"date-parts":[[2014,5,28]],"date-time":"2014-05-28T08:08:41Z","timestamp":1401264521000},"page":"1430016","source":"Crossref","is-referenced-by-count":10,"title":["Cellular Memristive Dynamical Systems (CMDS)"],"prefix":"10.1142","volume":"24","author":[{"given":"Mohammad","family":"Bavandpour","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, Sharif University of Technology, Tehran 11365-11155, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hamid","family":"Soleimani","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Razi University, Kermanshah 67149-67346, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Saeed","family":"Bagheri-Shouraki","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Sharif University of Technology, Tehran 11365-11155, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Arash","family":"Ahmadi","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Razi University, Kermanshah 67149-67346, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Derek","family":"Abbott","sequence":"additional","affiliation":[{"name":"School of Electrical and Electronic Engineering, The University of Adelaide, SA 5005, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Leon O.","family":"Chua","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA 94720-1770, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2014,5,28]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/S0361-9230(99)00161-6"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2010.2089556"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2013.03.003"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1109\/MC.2007.7"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1109\/TBCAS.2010.2055157"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1109\/TCT.1971.1083337"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1109\/TVLSI.2010.2049867"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/S0006-3495(61)86902-6"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511815706"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2010.2041507"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2011.2116802"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2003.820440"},{"key":"rf14","first-page":"1297","volume":"3","author":"Jo H.","journal-title":"Nano Lett."},{"key":"rf15","first-page":"87","volume":"58","author":"Rosa M.","journal-title":"Proc. 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