6533b82ffe1ef96bd12952c2
RESEARCH PRODUCT
Switching synchronization in one-dimensional memristive networks: An exact solution.
Valeriy A. SlipkoYuriy V. Pershinsubject
Physicsbusiness.product_categoryLaplace transformMemristorTopology01 natural sciencesSynchronization010305 fluids & plasmaslaw.inventionNonlinear systemComputer Science::Emerging TechnologiesExact solutions in general relativitylaw0103 physical sciencesNetwork switchState (computer science)010306 general physicsbusinessVoltagedescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-12-20 | Physical review. E |