Circuit Elements With Memory: Memristors, Memcapacitors, and Meminductors

@article{Ventra2009CircuitEW,
  title={Circuit Elements With Memory: Memristors, Memcapacitors, and Meminductors},
  author={Massimiliano Di Ventra and Yuriy V. Pershin and Leon Ong 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
View on IEEE
arxiv.org
735 Citations
Highly Influential Citations
24
Background Citations
212
Methods Citations
52
Results Citations
1

735 Citations

Citation Type

Citation Type

Similarity between the response of memristive and memcapacitive circuits subjected to ramped voltage
Abstract. We report a similar feature in the response of resistor–memristor and capacitor–memcapacitor circuits with threshold-type memory devices driven by triangular waveform voltage. In both… Expand
Reliable SPICE Simulations of Memristors, Memcapacitors and Meminductors
TLDR
A collection of models of different memory circuit elements and a methodology for their accurate and reliable modeling in the SPICE environment are presented and codes of these models written in the most popular SPICE versions are provided for the benefit of the reader. Expand
On the physical properties of memristive, memcapacitive and meminductive systems.
TLDR
It is shown that ideal memristors, namely those whose state depends only on the charge that flows through them (or on the history of the voltage), are subject to very strict physical conditions and are unable to protect their memory state against the unavoidable fluctuations, and therefore are susceptible to a stochastic catastrophe. Expand
Small signal model of memcapacitor-inductor oscillation circuit
  • S. Yener, R. Mutlu
  • Computer Science
  • 2017 Electric Electronics, Computer Science, Biomedical Engineerings' Meeting (EBBT)
  • 2017
TLDR
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.
TLDR
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
Memristors and memristive circuits - an overview
TLDR
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
Memfractance: A Mathematical Paradigm for Circuit Elements with Memory
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
Memristors: A New Nanoscale CNN Cell
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
TLDR
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
TLDR
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
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 67 REFERENCES
Spin Memristive Systems: Spin Memory Effects in Semiconductor Spintronics
Recently, in addition to the well-known resistor, capacitor, and inductor, a fourth passive circuit element, named memristor, has been identified following theoretical predictions. The model example… Expand
Phase-transition driven memristive system
Memristors are passive circuit elements which behave as resistors with memory. The recent experimental realization of a memristor has triggered interest in this concept and its possible applications.… Expand
Memristive devices and systems
A broad generalization of memristors--a recently postulated circuit element--to an interesting class of nonlinear dynamical systems called memristive systems is introduced. These systems are… Expand
The missing memristor found
TLDR
It is shown, using a simple analytical example, that memristance arises naturally in nanoscale systems in which solid-state electronic and ionic transport are coupled under an external bias voltage. Expand
Memristor-The missing circuit element
A new two-terminal circuit element-called the memristorcharacterized by a relationship between the charge q(t)\equiv \int_{-\infty}^{t} i(\tau) d \tau and the flux-linkage \varphi(t)\equiv \int_{-… Expand
Memristive switching mechanism for metal/oxide/metal nanodevices.
TLDR
Experimental evidence is provided to support this general model of memristive electrical switching in oxide systems, and micro- and nanoscale TiO2 junction devices with platinum electrodes that exhibit fast bipolar nonvolatile switching are built. Expand
Memristive model of amoeba learning.
TLDR
It is shown that the amoebalike cell Physarum polycephalum when exposed to a pattern of periodic environmental changes learns and adapts its behavior in anticipation of the next stimulus to come and is useful to better understand the origins of primitive intelligence. Expand
Memristive model of amoeba’s learning
TLDR
It is shown that memristive behaviour can be mapped into the response of a simple electronic circuit consisting of an LC contour and a memory-resistor (a memristor) to a train of voltage pulses that mimic environment changes. Expand
Analysis of a hysteretic circuit containing an iron-cored inductor and a semiconductor switch
The analysis is described of a power electronic circuit that contains two different types of nonlinear element: an iron-cored inductor and a semiconductor switch. The classical Preisach model is used… Expand
Nanoscale molecular-switch crossbar circuits
Molecular electronics offer an alternative pathway to construct nanoscale circuits in which the critical dimension is naturally associated with molecular sizes. We describe the fabrication and… Expand
...
1
2
3
4
5
...