Dynamical attractors of memristors and their networks

Abstract

It is shown that the time-averaged dynamics of memristors and their networks periodically driven by alternating-polarity pulses may converge to fixed-point attractors. Starting with a general memristive system model, we derive basic equations describing the fixed-point attractors and investigate attractors in the dynamics of ideal, threshold-type and second-order memristors, and memristive networks. A memristor potential function is introduced, and it is shown that in some cases the attractor identification problem can be mapped to the problem of potential function minimization. Importantly, the fixed-point attractors may only exist if the function describing the internal state dynamics depends on an internal state variable. Our findings may be used to tune the states of analog memristors, and also be relevant to memristive synapses subjected to forward- and back-propagating spikes.

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Cited by in corpus (6)

• Stochastic resonance in a metal-oxide memristive device
• Bifurcation analysis of a TaO memristor model
• Transient dynamics of pulse-driven memristors in the presence of a stable fixed point
• Contemporary implementations of spiking bio-inspired neural networks
• Low-Power Control of Resistance Switching Transitions in First-Order Memristors
• Minimizing energy dissipation during programming of resistive switching memory devices using their dynamical attractor states