A key feature of circuits with ideal memristors is that the state space is decomposed into infinitely many invariant manifolds where quite a rich dynamics can be displayed. In this paper the possibility of embedding known attractors into the circuit invariant manifolds is investigated. Specifically, we propose a simple RLC circuit, containing an ideal flux-controlled memristor, that is capable to replicate the dynamics of the FitzHugh-Nagumo model. It is shown that there is a one-to-one correspondence between the dynamic behaviors generated by the model for constant values of the injected current and those displayed onto the circuit invariant manifolds.
Innocenti, G., Tesi, A., Di Marco, M., Forti, M. (2022). Exploiting Invariant Manifolds of Memristor Circuits to Reproduce FitzHugh-Nagumo Dynamics. In 2022 11th International Conference on Modern Circuits and Systems Technologies (MOCAST). New York : IEEE [10.1109/MOCAST54814.2022.9837488].
Exploiting Invariant Manifolds of Memristor Circuits to Reproduce FitzHugh-Nagumo Dynamics
Di Marco, M;Forti, M
2022-01-01
Abstract
A key feature of circuits with ideal memristors is that the state space is decomposed into infinitely many invariant manifolds where quite a rich dynamics can be displayed. In this paper the possibility of embedding known attractors into the circuit invariant manifolds is investigated. Specifically, we propose a simple RLC circuit, containing an ideal flux-controlled memristor, that is capable to replicate the dynamics of the FitzHugh-Nagumo model. It is shown that there is a one-to-one correspondence between the dynamic behaviors generated by the model for constant values of the injected current and those displayed onto the circuit invariant manifolds.File | Dimensione | Formato | |
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https://hdl.handle.net/11365/1253947