Switching synchronization in one-dimensional memristive networks: An exact solution

V. A. Slipko and Y. V. Pershin

Phys. Rev. E 96, 062213 – Published 20 December 2017

Abstract

We study a switching synchronization phenomenon taking place in one-dimensional memristive networks when the memristors switch from the high- to low-resistance state. It is assumed that the distributions of threshold voltages and switching rates of memristors are arbitrary. Using the Laplace transform, a set of nonlinear equations describing the memristors dynamics is solved exactly, without any approximations. The time dependencies of memristances are found, and it is shown that the voltage falls across memristors are proportional to their threshold voltages. A compact expression for the network switching time is derived.

Received 14 August 2017

DOI:https://doi.org/10.1103/PhysRevE.96.062213

Physics Subject Headings (PhySH)

Collective dynamics Network evolution

Nanostructures

Nonlinear Dynamics

Authors & Affiliations

V. A. Slipko^1,2 and Y. V. Pershin^3,4,*

¹Institute of Physics, Opole University, Opole 45-052, Poland
²Department of Physics and Technology, V. N. Karazin Kharkov National University, Kharkov 61022, Ukraine
³Department of Physics and Astronomy, University of South Carolina, Columbia, South Carolina 29208, USA
⁴Nikolaev Institute of Inorganic Chemistry SB RAS, Novosibirsk 630090, Russia

^*pershin@physics.sc.edu

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Vol. 96, Iss. 6 — December 2017

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