Dynamic Analysis of a Bistable Bi-Local Active Memristor and Its Associated Oscillator System

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalNot applicablepeer-review

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Detail(s)

Original languageEnglish
Article number1850105
Journal / PublicationInternational Journal of Bifurcation and Chaos
Volume28
Issue number8
StatePublished - Jul 2018

Abstract

This paper proposes a new type of memristor with two distinct stable pinched hysteresis loops and twin symmetrical local activity domains, named as a bistable bi-local active memristor. A detailed and comprehensive analysis of the memristor and its associated oscillator system is carried out to verify its dynamic behaviors based on nonlinear circuit theory and Hopf bifurcation theory. The local-activity domains and the edge-of-chaos domains of the memristor, which are both symmetric with respect to the origin, are confirmed by utilizing the mathematical cogent theory. Finally, the subcritical Hopf bifurcation phenomenon is identified in the subcritical Hopf bifurcation region of the memristor.

Research Area(s)

  • Coexisting pinched hysteresis loops, edge of chaos, memristor, subcritical Hopf bifurcation, twin local activity domains, unstable limit cycle