6533b828fe1ef96bd12883ef

RESEARCH PRODUCT

Modeling Networks of Probabilistic Memristors in SPICE

V. J. DowlingYuriy V. PershinValeriy A. Slipko

subject

SPICEComputer scienceSpiceProbabilistic logicBinary number020206 networking & telecommunications02 engineering and technologyMemristorlaw.inventionComputer Science::Hardware ArchitectureComputer Science::Emerging TechnologieslawnetworksMaster equation0202 electrical engineering electronic engineering information engineeringApplied mathematicsElectrical and Electronic EngineeringMemristorsprobabilistic computing

description

Efficient simulation of stochastic memristors and their networks requires novel modeling approaches. Utilizing a master equation to find occupation probabilities of network states is a recent major departure from typical memristor modeling [Chaos, solitons fractals 142, 110385 (2021)]. In the present article we show how to implement such master equations in SPICE – a general purpose circuit simulation program. In the case studies we simulate the dynamics of acdriven probabilistic binary and multi-state memristors, and dc-driven networks of probabilistic binary and multi-state memristors. Our SPICE results are in perfect agreement with known analytical solutions. Examples of LTspice code are included.

https://doi.org/10.13164/re.2021.0157