Alternative memristor-based interconnect topologies for fast adaptive synchronization of chaotic circuits

© 2020 Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/Resistive switching devices (memristors) constitute an emerging device technology promising for a vari- ety of applications that are currently being studied. In this context, the use of memristors as coupling el- ements of the dynamics of chaotic circuits for adaptive synchronization purposes, was recently proposed and the passive crossbar array was evaluated as target interconnect medium. Nonetheless, memristors may suffer from defects and degradation. Therefore, this work evaluates the impact of memristor switch- ing faults in an adaptive chaotic synchronization scheme, exploring at the same time the fault-tolerance of the crossbar architecture. Moreover, inspired from our observations in the stuck-at-OFF fault analy- sis of the memristive crossbar, some alternative scalable memristive interconnect patterns are suggested, whose performance is found independent of the number of interconnected chaotic circuits, requiring a much smaller number of total memristors than the crossbar array. All simulations are based on an ac- curate physics-based model of a bipolar memristor with filamentary switching mechanism. Based on our results, using the alternative topologies instead of the crossbar array leads to significant savings in the synchronization time that increase with the number of interconnected chaotic units, at the cost of more limited scaling capability and fault-tolerance.This work was supported in part by the Chilean research Grants ANID REDES ETAPA INICIAL 2017 No. REDI170604, ANID FONDECYT INICIACION 11180706, ANID BASAL FB0008, and by the Spanish MINECO and ERDF under Grant TEC2016-75151-C3-2-R.Peer ReviewedPostprint (author's final draft

Memristor: A New Concept in Synchronization of Coupled Neuromorphic Circuits

The existence of the memristor, as a fourth fundamental circuit element, by researchers at Hewlett Packard (HP) labs in 2008, has attracted much interest since then. This occurs because the memristor opens up new functionalities in electronics and it has led to the interpretation of phenomena not only in electronic devices but also in biological systems. Furthermore, many research teams work on projects, which use memristors in neuromorphic devices to simulate learning, adaptive and spontaneous behavior while other teams on systems, which attempt to simulate the behavior of biological synapses. In this paper, the latest achievements and applications of this newly development circuit element are presented. Also, the basic features of neuromorphic circuits, in which the memristor can be used as an electrical synapse, are studied. In this direction, a flux-controlled memristor model is adopted for using as a coupling element between coupled electronic circuits, which simulate the behavior of neuron-cells. For this reason, the circuits which are chosen realize the systems of differential equations that simulate the well-known Hindmarsh-Rose and FitzHugh-Nagumo neuron models. Finally, the simulation results of the use of a memristor as an electric synapse present the effectiveness of the proposed method and many interesting dynamic phenomena concerning the behavior of coupled neuron-cells

18th IEEE Workshop on Nonlinear Dynamics of Electronic Systems: Proceedings

Proceedings of the 18th IEEE Workshop on Nonlinear Dynamics of Electronic Systems, which took place in Dresden, Germany, 26 – 28 May 2010.:Welcome Address ........................ Page I Table of Contents ........................ Page III Symposium Committees .............. Page IV Special Thanks ............................. Page V Conference program (incl. page numbers of papers) ................... Page VI Conference papers Invited talks ................................ Page 1 Regular Papers ........................... Page 14 Wednesday, May 26th, 2010 ......... Page 15 Thursday, May 27th, 2010 .......... Page 110 Friday, May 28th, 2010 ............... Page 210 Author index ............................... Page XII

MS FT-2-2 7 Orthogonal polynomials and quadrature: Theory, computation, and applications

Quadrature rules find many applications in science and engineering. Their analysis is a classical area of applied mathematics and continues to attract considerable attention. This seminar brings together speakers with expertise in a large variety of quadrature rules. It is the aim of the seminar to provide an overview of recent developments in the analysis of quadrature rules. The computation of error estimates and novel applications also are described

Generalized averaged Gaussian quadrature and applications

A simple numerical method for constructing the optimal generalized averaged Gaussian quadrature formulas will be presented. These formulas exist in many cases in which real positive GaussKronrod formulas do not exist, and can be used as an adequate alternative in order to estimate the error of a Gaussian rule. We also investigate the conditions under which the optimal averaged Gaussian quadrature formulas and their truncated variants are internal