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<https://discovery.ucl.ac.uk/id/eprint/10057190> <http://purl.org/ontology/bibo/abstract> "We construct an exactly solvable circuit of interacting memristors and study its\r\ndynamics and fixed points. This simple circuit model interpolates between decoupled circuits of\r\nisolated memristors, and memristors in series, for which exact fixed points can be obtained. We\r\nintroduce a Lyapunov functional that is found to be minimized along the non-equilibrium dynamics\r\nand which resembles a long-range Ising Hamiltonian with non-linear self-interactions. We use the\r\nLyapunov functional as a Hamiltonian to calculate, in the mean-field theory approximation, the\r\naverage asymptotic behavior of the circuit given a random initialization, yielding exact predictions\r\nfor the case of decay to the lower resistance state, and reasonable predictions for the case of a\r\ndecay to the higher resistance state."^^<http://www.w3.org/2001/XMLSchema#string> .
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