Circuit Elements With Memory: Memristors, Memcapacitors, and Meminductors

@article{Ventra2009CircuitEW,
  title={Circuit Elements With Memory: Memristors, Memcapacitors, and Meminductors},
  author={M. Ventra and Y. Pershin and L. Chua},
  journal={Proceedings of the IEEE},
  year={2009},
  volume={97},
  pages={1717-1724}
}
We extend the notion of memristive systems to capacitive and inductive elements, namely, capacitors and inductors whose properties depend on the state and history of the system. All these elements typically show pinched hysteretic loops in the two constitutive variables that define them: current-voltage for the memristor, charge-voltage for the memcapacitor, and current-flux for the meminductor. We argue that these devices are common at the nanoscale, where the dynamical properties of electrons… Expand
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A memcapacitor-inductor oscillation circuit is examined using simulations and also its small signal equivalent circuit is obtained using perturbation theory since such a circuit does not have an exact solution. Expand
Realization of the meminductor.
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This work demonstrates pinched hysteretic magnetic flux-current signals at room temperature based on the spin Hall magnetoresistance effect in several-nanometer-thick thin films, exhibiting the nonvolatile memorizing property and magnetic energy storage ability of the meminductor. Expand
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A tutorial overview of the state-of-the-art of theory and applications of single memristor devices as well as memristive circuits is presented. Expand
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TLDR
Fractional calculus is used to generalize and provide a mathematical paradigm for describing the behavior of capacitive and inductive elements, namely, memcapacitor and meminductor whose properties depend on the state and history of the system. Expand
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The circuit-theoretic foundation of the memristor and its generalizations to a lossless memory capacitor and a lossless memory inductor is presented along with the devices’ constitutive relations.… Expand
SPICE modeling of memristive, memcapacitative and meminductive systems
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It is shown that the memristor, designed in HP laboratories, can be modeled as a first-order memristive system with nonlinear dependence of the time derivative of the state variable on this variable and on the current flowing through. Expand
Memristive circuits simulate memcapacitors and meminductors
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Using a memristor emulator, the suggested circuits have been built and their operation has been demonstrated, showing a useful and interesting connection between the three memory elements. Expand
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