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RESEARCH PRODUCT
Theory of Heterogeneous Circuits With Stochastic Memristive Devices
Valeriy A. SlipkoYuriy V. Pershinsubject
Computer scienceContinuum (topology)Binary numberCapacitorsMemristorSwitching circuitsTopologyInductorSeries and parallel circuitslaw.inventionComputer Science::Hardware ArchitectureCapacitorRange (mathematics)Mathematical modelComputer Science::Emerging TechnologiesStochastic processesIntegrated circuit modelinglawHardware_INTEGRATEDCIRCUITSElectrical and Electronic EngineeringMemristorsSwitchesElectronic circuitdescription
We introduce an approach based on the Chapman-Kolmogorov equation to model heterogeneous stochastic circuits, namely, the circuits combining binary or multi-state stochastic memristive devices and continuum reactive components (capacitors and/or inductors). Such circuits are described in terms of occupation probabilities of memristive states that are functions of reactive variables. As an illustrative example, the series circuit of a binary memristor and capacitor is considered in detail. Some analytical solutions are found. Our work offers a novel analytical/numerical tool for modeling complex stochastic networks, which may find a broad range of applications.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-01-01 | IEEE Transactions on Circuits and Systems II: Express Briefs |