Capacitive effects can make memristors chaotic

D.V. Guseinov, I.V. Matyushkin, N.V. Chernyaev, A.N. Mikhaylov and Y.V. Pershin

Chaos, Solitons & Fractals, 2021, vol. 144, issue C

Abstract: In this paper we analyze cycle-to-cycle variations in the dynamics of an abstract second-order system with memory whose response involves both resistive and capacitive components. The internal state variables in the model are the filament length and charge accumulated within the device. The dynamics is studied under the condition of periodic driving. Even with the simplest assumptions on the shape of window and capture functions, periodic, intermittent and chaotic dynamical modes are found. Bifurcation diagrams are presented showing the variety of dynamical modes. Our results indicate that the system posses a chaotic attractor in state space, and the transition to chaos occurs via the intermittency scenario. Some analytical results are presented.

Keywords: Memristor; Cycling; Nonlinear dynamics; Chaos; Strange attractor (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:144:y:2021:i:c:s0960077921000527

DOI: 10.1016/j.chaos.2021.110699

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