6533b82afe1ef96bd128c1b4

RESEARCH PRODUCT

Switching synchronization in 1-D memristive networks: An exact solution

V. A. SlipkoY. V. Pershin

subject

Computer Science::Emerging TechnologiesCondensed Matter - Mesoscale and Nanoscale PhysicsMesoscale and Nanoscale Physics (cond-mat.mes-hall)FOS: Physical sciencesAdaptation and Self-Organizing Systems (nlin.AO)Nonlinear Sciences - Adaptation and Self-Organizing Systems

description

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 non-linear 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.

yearjournalcountryeditionlanguage
2017-08-16
10.1103/physreve.96.062213http://arxiv.org/abs/1708.04763