{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,21]],"date-time":"2026-01-21T09:22:38Z","timestamp":1768987358120,"version":"3.49.0"},"reference-count":24,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2017,4]]},"abstract":"<jats:p> This paper presents a detailed analysis of various oscillatory behaviors observed in relation to the calcium and potassium ions in the third-order Morris\u2013Lecar model of giant barnacle muscle fiber. Since, both the calcium and potassium ions exhibit all of the characteristics of memristor fingerprints, we claim that the time-varying calcium and potassium ions in the third-order Morris\u2013Lecar model are actually time-invariant calcium and potassium memristors in the third-order memristive Morris\u2013Lecar model. We confirmed the existence of a small unstable limit cycle oscillation in both the second-order and the third-order Morris\u2013Lecar model by numerically calculating the basin of attraction of the asymptotically stable equilibrium point associated with two subcritical Hopf bifurcation points. We also describe a comprehensive analysis of the generation of oscillations in third-order memristive Morris\u2013Lecar model via small-signal circuit analysis and a subcritical Hopf bifurcation phenomenon. <\/jats:p>","DOI":"10.1142\/s0218127417300154","type":"journal-article","created":{"date-parts":[[2017,5,8]],"date-time":"2017-05-08T05:30:57Z","timestamp":1494221457000},"page":"1730015","source":"Crossref","is-referenced-by-count":27,"title":["Third-Order Memristive Morris\u2013Lecar Model of Barnacle Muscle Fiber"],"prefix":"10.1142","volume":"27","author":[{"given":"Vetriveeran","family":"Rajamani","sequence":"first","affiliation":[{"name":"Division of Electronic and Information Engineering, Chonbuk National University, Jeonju, Jeonbuk 54896, South-Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Maheshwar PD.","family":"Sah","sequence":"additional","affiliation":[{"name":"School of Applied Science and Engineering Technology, Ivy Tech Community College, South-West, IN 47710, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zubaer Ibna","family":"Mannan","sequence":"additional","affiliation":[{"name":"Division of Electronic and Information Engineering, Chonbuk National University, Jeonju, Jeonbuk 54896, South-Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hyongsuk","family":"Kim","sequence":"additional","affiliation":[{"name":"Division of Electronic Engineering, Chonbuk National University, Jeonju, Jeonbuk 54896, South-Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Leon","family":"Chua","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA 9720, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2017,5,8]]},"reference":[{"key":"S0218127417300154BIB001","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2013.2256171"},{"key":"S0218127417300154BIB002","doi-asserted-by":"publisher","DOI":"10.1109\/PROC.1976.10092"},{"key":"S0218127417300154BIB003","volume-title":"Linear and Nonlinear Circuits","author":"Chua L. 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