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Advances in Differential Equations and Control Processes

Advances in Differential Equations and Control Processes
Volume 18, Issue 4, Pages 243 - 258 (November 2017)
http://dx.doi.org/10.17654/DE018040243

STABILITY ANALYSIS OF A FOURTH-ORDER CANONICAL MEMRISTOR OSCILLATOR

Vanessa Botta and MarÃlia Davoli Moreira

Abstract:

In this paper, we present a linear analysis of the equilibrium points of a memristor oscillator mathematical model, given by fourth-dimensional system of ODEs depending on five parameters and a piecewise-linear function. Necessary and sufficient conditions for local stability of the equilibrium points are given.

Keywords and phrases:

memristor oscillator, stability, Routh-Hurwitz criterion.

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