# Memristive devices and systems

@article{Chua1976MemristiveDA, title={Memristive devices and systems}, author={Leon Ong Chua and Sung Mo Kang}, journal={Proceedings of the IEEE}, year={1976}, volume={64}, pages={209-223} }

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 unconventional in the sense that while they behave like resistive devices, they can be endowed with a rather exotic variety of dynamic characteristics. While possessing memory and exhibiting small-signal inductive or capacitive effects, they are incapable of energy discharge and they introduce no phase…

## Figures and Tables from this paper

## 1,830 Citations

The memristive system behavior of a diac

- Physics, Chemistry
- 2020

The memristor was introduced as a nonlinear circuit element in 1971, and systems showing memristor-like properties such as zero-crossing hysteresis loops were described in 1976. In 2008, a thin-film…

Memristor based-elements for chaotic circuits

- Physics
- 2012

The peculiar features of the memristor, a fundamental passive two-terminal element characterized by nonlinear relationship between charge and flux, promise to revolutionize integrated circuit design…

On the analog computational characteristics of memristive networks

- Computer Science, Chemistry2013 IEEE 20th International Conference on Electronics, Circuits, and Systems (ICECS)
- 2013

This work studies the composite characteristics of memristive elements connected in regular one-dimensional configurations using a nonlinear memristor model and carries out simulations and analyze the characteristics of complex Memristor circuits, as well as investigate the relationships among the single devices.

The Desired Memristor for Circuit Designers

- ChemistryIEEE Circuits and Systems Magazine
- 2013

Memristors are two-terminal devices with varying resistance, where the behavior is dependent on the history of the device. In recent years, different physical phenomena of resistive switching have…

Memristive systems analysis of 3-terminal devices

- Biology2010 17th IEEE International Conference on Electronics, Circuits and Systems
- 2010

The original memristive systems framework is extended to incorporate 3-terminal, non-passive devices and the applicability of such dynamic systems models to 1) the Widrow-Hoff memistor, 2) floating gate memory cells, and 3) nano-ionic FETs is explained.

Complex dynamical behavior in memristor–capacitor systems

- EngineeringNonlinear Dynamics
- 2019

The parallel and series circuits of a Hewlett–Packard memristor and a capacitor are foundational building blocks for realistic memristive circuits. Due to the nonlinearity of the memristor,…

First order devices, hybrid memristors, and the frontiers of nonlinear circuit theory

- Engineering
- 2010

Several devices exhibiting memory effects have shown up in nonlinear circuit theory in recent years. Among others, these circuit elements include Chua’s memristors, as well as memcapacitors and…

Minimizing the Hodgkin-Huxley Model

- Biology
- 2013

The research sheds light on the feasibility of creating artificial axons (and neural networks) with thin-film memristors by using MATLAB to numerically obtain the voltage response of an axon to steady and alternating current stimuli and Kirchhoff’s laws to obtain the current response of a memristive circuit to an alternating voltage stimulus.

Memristor, Hodgkin–Huxley, and Edge of Chaos

- ChemistryHandbook of Memristor Networks
- 2019

This tutorial shows that memristor span a much broader vista of complex phenomena and potential applications in many fields, including neurobiology, and presents toy memristors that can mimic the classic habituation and LTP learning phenomena.

## References

SHOWING 1-10 OF 21 REFERENCES

Memristor-The Missing Circuit Element LEON 0

- Physics
- 1971

The logical and scientific basis for the existence of a new two-terminal circuit element called the memristor, which has every right to be as basic as the three classical circuit elements already in existence, namely, the resistor, inductor, and capacitor is presented.

A memristive circuit model for p‐n junction diodes

- Engineering
- 1974

A new simple lumped circuit model for junction diodes is presented. The model contains only 4 elements; namely, 2 controlled current sources, a nonlinear capacitor, and a memristor. Each component…

A low-frequency oscillator using PTC and NTC thermistors

- Engineering
- 1969

A mathematical model and analysis method for discrete parameter thermistor networks are developed. Methods for predicting the static conditions and the stability and sensitivity of the equilibrium…

Dissipative dynamical systems part I: General theory

- Mathematics
- 1972

The first part of this two-part paper presents a general theory of dissipative dynamical systems. The mathematical model used is a state space model and dissipativeness is defined in terms of an…

A quantitative description of membrane current and its application to conduction and excitation in nerve.

- BiologyThe Journal of physiology
- 1952

This article concludes a series of papers concerned with the flow of electric current through the surface membrane of a giant nerve fibre by putting them into mathematical form and showing that they will account for conduction and excitation in quantitative terms.

A Rapidly Convergent Descent Method for Minimization

- MathematicsComput. J.
- 1963

A number of theorems are proved to show that it always converges and that it converges rapidly, and this method has been used to solve a system of one hundred non-linear simultaneous equations.