153 research outputs found
Teaching Memory Circuit Elements via Experiment-Based Learning
The class of memory circuit elements which comprises memristive,
memcapacitive, and meminductive systems, is gaining considerable attention in a
broad range of disciplines. This is due to the enormous flexibility these
elements provide in solving diverse problems in analog/neuromorphic and
digital/quantum computation; the possibility to use them in an integrated
computing-memory paradigm, massively-parallel solution of different
optimization problems, learning, neural networks, etc. The time is therefore
ripe to introduce these elements to the next generation of physicists and
engineers with appropriate teaching tools that can be easily implemented in
undergraduate teaching laboratories. In this paper, we suggest the use of
easy-to-build emulators to provide a hands-on experience for the students to
learn the fundamental properties and realize several applications of these
memelements. We provide explicit examples of problems that could be tackled
with these emulators that range in difficulty from the demonstration of the
basic properties of memristive, memcapacitive, and meminductive systems to
logic/computation and cross-bar memory. The emulators can be built from
off-the-shelf components, with a total cost of a few tens of dollars, thus
providing a relatively inexpensive platform for the implementation of these
exercises in the classroom. We anticipate that this experiment-based learning
can be easily adopted and expanded by the instructors with many more case
studies.Comment: IEEE Circuits and Systems Magazine (in press
On the validity of memristor modeling in the neural network literature
An analysis of the literature shows that there are two types of
non-memristive models that have been widely used in the modeling of so-called
"memristive" neural networks. Here, we demonstrate that such models have
nothing in common with the concept of memristive elements: they describe either
non-linear resistors or certain bi-state systems, which all are devices without
memory. Therefore, the results presented in a significant number of
publications are at least questionable, if not completely irrelevant to the
actual field of memristive neural networks
Memristive Computing
Memristive computing refers to the utilization of the memristor, the fourth
fundamental passive circuit element, in computational tasks.
The existence of the memristor was theoretically predicted in 1971 by
Leon O. Chua, but experimentally validated only in 2008 by HP Labs. A
memristor is essentially a nonvolatile nanoscale programmable resistor —
indeed, memory resistor — whose resistance, or memristance to be precise,
is changed by applying a voltage across, or current through, the device.
Memristive computing is a new area of research, and many of its fundamental
questions still remain open. For example, it is yet unclear which
applications would benefit the most from the inherent nonlinear dynamics
of memristors. In any case, these dynamics should be exploited to allow
memristors to perform computation in a natural way instead of attempting
to emulate existing technologies such as CMOS logic. Examples of such
methods of computation presented in this thesis are memristive stateful logic
operations, memristive multiplication based on the translinear principle, and
the exploitation of nonlinear dynamics to construct chaotic memristive circuits.
This thesis considers memristive computing at various levels of abstraction.
The first part of the thesis analyses the physical properties and the
current-voltage behaviour of a single device. The middle part presents memristor
programming methods, and describes microcircuits for logic and analog
operations. The final chapters discuss memristive computing in largescale
applications. In particular, cellular neural networks, and associative
memory architectures are proposed as applications that significantly benefit
from memristive implementation. The work presents several new results on
memristor modeling and programming, memristive logic, analog arithmetic
operations on memristors, and applications of memristors.
The main conclusion of this thesis is that memristive computing will
be advantageous in large-scale, highly parallel mixed-mode processing architectures.
This can be justified by the following two arguments. First,
since processing can be performed directly within memristive memory architectures,
the required circuitry, processing time, and possibly also power
consumption can be reduced compared to a conventional CMOS implementation.
Second, intrachip communication can be naturally implemented by
a memristive crossbar structure.Siirretty Doriast
Finite-time Anti-synchronization of Memristive Stochastic BAM Neural Networks with Probabilistic Time-varying Delays
This paper investigates the drive-response finite-time anti-synchronization for memristive bidirectional associative memory neural networks (MBAMNNs). Firstly, a class of MBAMNNs with mixed probabilistic time-varying delays and stochastic perturbations is first formulated and analyzed in this paper. Secondly, an nonlinear control law is constructed and utilized to guarantee drive-response finite-time anti-synchronization of the neural networks. Thirdly, by employing some inequality technique and constructing an appropriate Lyapunov function, some anti-synchronization criteria are derived. Finally, a number simulation is provided to demonstrate the effectiveness of the proposed mechanism
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