Structural characterization of classical and memristive circuits with purely imaginary eigenvalues

Riaza, Ricardo; Tischendorf, Caren

doi:10.1002/cta.798

Cited by 10 publications

(13 citation statements)

References 61 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Since the discovery of memristance is in nature, announced by Hewlett Packard (HP) labs senior fellow Williams in 2008, the interest in memristors has considerably grown both in academia and industry for diverse circuit applications including memory (, ) and oscillators (). As more and more memristor realizations are presented, the development of mathematical models for the nonlinear dynamics of these devices and the establishment of solid theoretical foundations on their circuit properties () turn to be a fundamental issue for the progress of memristor‐based integrated circuit design.…”

Section: Introductionmentioning

confidence: 99%

Generalized boundary condition memristor model

Ascoli

Corinto

Tetzlaff

2015

Circuit Theory & Apps

View full text Add to dashboard Cite

SUMMARYA number of resistive switching memories exhibit activation-based dynamical behavior, which makes them suitable for neuromorphic and programmable analog filtering applications. Because the Boundary Condition Memristor (BCM) model accounts for tunable activation thresholds only at the on and off boundary states, it is not quantitatively accurate in the description of these kinds of memristors and in the investigation of their circuit applications. This paper introduces the Generalized Boundary Condition Memristor (GBCM) model, preserving the features of the BCM model while allowing, further, an ad-hoc tuning of activation-based dynamics, which enables an appropriate modulation of the conditions under which memristors may operate as storage elements or data processors. A simple circuit implementation of the novel model is presented, and time-efficient simulations confirming the improvement in modeling accuracy over the BCM model are shown. As a proof-of-concept for the suitability of the GBCM model in the exploration of the full potential of memristors in neuromorphic circuits and programmable analog filters, this paper adopts it to model fundamental synaptic rules governing the mechanisms of learning in neural systems and to gain some insight into key issues in the design of a couple of filters.

show abstract

Section: Introductionmentioning

confidence: 99%

Generalized boundary condition memristor model

Ascoli

Corinto

Tetzlaff

2015

Circuit Theory & Apps

View full text Add to dashboard Cite

show abstract

“…This shall be the topic of an incoming research project. This analytical work, in conjunction with the various seminal papers from Chua [1,2,36] and other more recent works [41,[48][49][50][51][52][53], contributes to the development of a general theoretical framework for memristors in nonlinear circuit theory [33].…”

Section: Conclusion and Future Research Developmentsmentioning

confidence: 99%

A class of versatile circuits, made up of standard electrical components, are memristors

Ascoli

Corinto

Tetzlaff

2015

Circuit Theory & Apps

View full text Add to dashboard Cite

Summary In this paper, we propose a whole class of memristor circuits. Each element from the class consists of the cascade connection between a static nonlinear two‐port and a dynamic one‐port. The class may be divided into two subclasses depending on the input variable (voltage or current). Within each of these subclasses, two further sets of memristor circuits may be distinguished according to which output voltage and current of the two‐port represents one of the system states. The simplest memristor circuits make only use of purely passive elementary components from circuit theory, an absolute novelty in this field of research. Thus they are suitable circuit primers for the introduction of the topic of memristors to undergraduate students. A sample circuit is built using discrete devices and its memristive nature is validated experimentally. In case the one‐port is purely passive, the proposed circuits feature volatile memristive behavior. Allowing active devices into the dynamic one‐port, non‐volatile dynamics may also emerge, as proved through concepts from the theory of nonlinear dynamics. Given the generality of the proposed class, the topology of the emulators may be adjusted so as to induce a large variety of dynamical behaviors, which may be exploited to accomplish new signal processing tasks, which conventional circuits are unable to perform. Copyright © 2015 John Wiley & Sons, Ltd.

show abstract

“…The area of research of memristors is more advanced both technologically and theoretically than that of memcapacitors and meminductors. In fact, although some experimental systems have been identified as memcapacitive and meminductive, their number is still small and possibly applications for them are less developed [1,2].…”

Section: Introductionmentioning

confidence: 99%