Pulse Programming of Memristor Circuits

The main contributions in this chapter are as follows: (a) we identify a wide class of memristor circuits, of any order and with any number of flux- or charge-controlled memristors, and introduce a systematic method for writing in an explicit way the SEs,

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nlinear Circuits and Systems with Memristors Nonlinear Dynamics and Analogue Computing via the Flux-Charge Analysis Method

Nonlinear Circuits and Systems with Memristors

Fernando Corinto • Mauro Forti • Leon O. Chua

Nonlinear Circuits and Systems with Memristors Nonlinear Dynamics and Analogue Computing via the Flux-Charge Analysis Method

Fernando Corinto Department of Electronics & Telecommunications Politecnico di Torino Torino, Italy

Mauro Forti Department of Information Engineering and Mathematics University of Siena Siena, Italy

Leon O. Chua University of California Berkeley, CA, USA

ISBN 978-3-030-55650-1 ISBN 978-3-030-55651-8 (eBook) https://doi.org/10.1007/978-3-030-55651-8 © Springer Nature Switzerland AG 2021 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

To Novella, Giorgia, and Sara and in memory of Antonio—F.C. To Emiliana and in memory of Silvano—M.F. To Diana—L.O.C.

Foreword by Sung Mo (Steve) Kang

Nonlinear Circuits and Systems with Memristors is a timely contribution to the field of nanoelectronic circuits and systems. Personally, the contents of this book are dear to me, especially since I was one of the early graduate students of Professor Leon Chua at the UC Berkeley who at that time introduced memristors and memristive systems. The seminal paper on memristor by Leon Chua was published in 1971, followed by the Chua and Kang paper on memristive devices and systems in 1976. In microelectronics industry, CMOS Very Large-Scale Integrated (VLSI) circuits have been the dominant workhorse, the development of which has followed the Moore’s law. However, as the downscaling faced its limitations and because of the volatility of charge storage in ultrasmall capacitors