198 research outputs found
Dynamical properties of electrical circuits with fully nonlinear memristors
The recent design of a nanoscale device with a memristive characteristic has
had a great impact in nonlinear circuit theory. Such a device, whose existence
was predicted by Leon Chua in 1971, is governed by a charge-dependent
voltage-current relation of the form . In this paper we show that
allowing for a fully nonlinear characteristic in memristive
devices provides a general framework for modeling and analyzing a very broad
family of electrical and electronic circuits; Chua's memristors are particular
instances in which is linear in . We examine several dynamical
features of circuits with fully nonlinear memristors, accommodating not only
charge-controlled but also flux-controlled ones, with a characteristic of the
form . Our results apply in particular to Chua's
memristive circuits; certain properties of these can be seen as a consequence
of the special form of the elastance and reluctance matrices displayed by
Chua's memristors.Comment: 19 page
First order devices, hybrid memristors, and the frontiers of nonlinear circuit theory
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 meminductors. These and other related
devices seem to be beyond the, say, classical scope of circuit theory, which is
formulated in terms of resistors, capacitors, inductors, and voltage and
current sources. We explore in this paper the potential extent of nonlinear
circuit theory by classifying such mem-devices in terms of the variables
involved in their constitutive relations and the notions of the differential-
and the state-order of a device. Within this framework, the frontier of first
order circuit theory is defined by so-called hybrid memristors, which are
proposed here to accommodate a characteristic relating all four fundamental
circuit variables. Devices with differential order two and mem-systems are
discussed in less detail. We allow for fully nonlinear characteristics in all
circuit elements, arriving at a rather exhaustive taxonomy of C^1-devices.
Additionally, we extend the notion of a topologically degenerate configuration
to circuits with memcapacitors, meminductors and all types of memristors, and
characterize the differential-algebraic index of nodal models of such circuits.Comment: Published in 2013. Journal reference included as a footnote in the
first pag
Memristors for the Curious Outsiders
We present both an overview and a perspective of recent experimental advances
and proposed new approaches to performing computation using memristors. A
memristor is a 2-terminal passive component with a dynamic resistance depending
on an internal parameter. We provide an brief historical introduction, as well
as an overview over the physical mechanism that lead to memristive behavior.
This review is meant to guide nonpractitioners in the field of memristive
circuits and their connection to machine learning and neural computation.Comment: Perpective paper for MDPI Technologies; 43 page
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