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Bharathwaj Muthuswamy - Introduction to Nonlinear Circuits and Networks

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Bharathwaj Muthuswamy Introduction to Nonlinear Circuits and Networks

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Bharathwaj Muthuswamy - Introduction to Nonlinear Circuits and Networks
Introduction to Nonlinear Circuits and Networks
Bharathwaj Muthuswamy
Introduction to Nonlinear Circuits and Networks

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Bharathwaj Muthuswamy and Santo Banerjee Introduction to Nonlinear Circuits - photo 1
Bharathwaj Muthuswamy and Santo Banerjee
Introduction to Nonlinear Circuits and Networks
Bharathwaj Muthuswamy Department of Physics QuEST Lab Stevens Institute of - photo 2
Bharathwaj Muthuswamy
Department of Physics, QuEST Lab, Stevens Institute of Technology, Hoboken, NJ, USA
Santo Banerjee
Institute for Mathematical Research, University Putra Malaysia, Serdang, Malaysia
ISBN 978-3-319-67324-0 e-ISBN 978-3-319-67325-7
https://doi.org/10.1007/978-3-319-67325-7
Library of Congress Control Number: 2018949725
Springer International Publishing AG, part of Springer Nature 2019
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, express 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

Dedicated to Leon O. Chua, Robert M. Fano, Lan J. Chu, and Richard B. Adler

Preface
The purpose of this course-based text-book is to emphasize introductory concepts from classic ideas in nonlinear circuit theory:

  1. The book is completely self-contained and does not assume any prior knowledge of circuit theory. It is simply assumed that the reader has taken a first-year undergraduate (elementary) course in differential and integral calculus, along with elementary physics courses in classical mechanics and electrodynamics (with an exposure to matrix algebra). Hence, this book should be accessible to any motivated individual who has taken the abovementioned courses.

  2. The book also covers topics that are not typically found in standard circuit textbooks, such as:

    • Memristors . The justification is that although (as the reader will learn from this book) memristors are not used in linear circuit theory, a memristor is the fourth fundamental circuit element. Hence, it is only logical that any text on circuit theory discuss memristors. Thus, ideally our book would have been titled Introduction to Circuits and Networks . But then a casual reader might mistake this book for emphasizing only linear circuit theory. However, as this book will show, nonlinear circuit theory (memristor included) is accessible to anyone with the correct background who is interested in fundamental circuit theoretic concepts.

    • Nonlinear chaotic circuits . We believe that chaotic circuits elegantly integrate a variety of concepts from circuit theory and hence form a natural repository of projects for the reader to understand all the concepts discussed in this book.

    • Nonlinear operational amplifier circuits, for example, Schmitt triggers . As will be clear from this book, accurate analysis of Schmitt triggers will help dispel common misconcepts about the nature of hysteresis in electronic circuits and will also help the reader understand the deep concept of modeling.

  3. Each chapter has illustrative examples, exercises, and a lab component. We will also have (maximum 20 min) conceptual videos for each chapter and end-of-chapter exercises (lab included) online . The purpose of these supplementary videos is to ( a ) highlight major concepts in each chapter and ( b ) provide solutions (hints for open-ended problems) to end-of-chapter exercises. This extensive use of electronic aids is the twenty-first century approach to nonlinear circuits. In the process, we hope to transform fundamental ideas in nonlinear circuits from the classic works of Leon O. Chua and others. Nevertheless, the goal of this books electronic aids is to supplement, not replace, rigor.

Over the course of a teaching career spanning 10 years at the University of California (UC) Berkeley, Dr. Muthuswamy has coordinated with Dr. Leon O. Chua and others to reintroduce nonlinear circuit theory at an elementary level. Much of the material in this book is thus derived from Dr. Chuas EE100 (Electronic Techniques for Engineering) lecture materials. This course was offered by the Electrical Engineering and Computer Sciences department at UC Berkeley for non-electrical engineering majors. Thus, the approach taken by EE100 (and this book) is a top-down view of circuit analysis where we discuss general principles and emphasize device modeling . Therefore, the material in this book can be adopted for an introductory course in circuit theory.
At the University of California, Berkeley, we were able to cover most (excluding memristors) of the material in this book in one semester. The material on chaotic circuits was used as a source of projects. For schools that are based on the shorter quarter system (10 weeks of instruction), we would suggest splitting the material in this book into two courses. The first course could cover Chaps. as a source of course projects. Another option would be to cover resistive networks in the first course and dynamic networks in the second course. Specifically:

  1. First courseresistive networks: only excluding material on dynamic elements in Chaps..

  2. Second coursedynamic networks: cover dynamic elements in Chaps..

Hence, the way we have organized the chapters is based on the fact that, in circuit theory, the laws of elements are distinct from the laws of networks.

Our goal in writing this book is simple: a student who thoroughly understands the concepts in this book will be well prepared for any follow-up course in circuit theory. For readers who are further interested in advanced concepts, we are planning to write a follow-up volume, Advanced Nonlinear Circuits and Networks . A reader who thoroughly understands the material in both volumes will maximize knowledge gained from any follow-up electrical engineering course, since our books on circuit theory emphasize both the underlying mathematics and physical experiments.

Bharathwaj Muthuswamy
Santo Banerjee
Hoboken, NJ, USA Serdang, Malaysia
Conventions Used in the Book

Each chapter starts with a visual epigraph: the purpose is to evoke the intellectual curiosity of the reader. Chapters are divided into sections and subsections for clarity.

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