Nonlinear circuits and systems with memristors : analogue computing via the flux-charge analysis method / Fernando Corinto, Mauro Forti and Leon O. Chua.
2021
TK7872.R4 C67 2021
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Title
Nonlinear circuits and systems with memristors : analogue computing via the flux-charge analysis method / Fernando Corinto, Mauro Forti and Leon O. Chua.
Author
Corinto, Fernando.
ISBN
9783030556518 (electronic book)
3030556514 (electronic book)
3030556506
9783030556501
3030556514 (electronic book)
3030556506
9783030556501
Published
Cham : Springer, [2021]
Language
English
Description
1 online resource
Item Number
10.1007/978-3-030-55651-8 doi
Call Number
TK7872.R4 C67 2021
Dewey Decimal Classification
621.3815/4
Summary
This book presents a new approach to the study of physical nonlinear circuits and advanced computing architectures with memristor devices. Such a unified approach to memristor theory has never been systematically presented in book form. After giving an introduction on memristor-based nonlinear dynamical circuits (e.g., periodic/chaotic oscillators) and their use as basic computing analogue elements, the authors delve into the nonlinear dynamical properties of circuits and systems with memristors and present the flux-charge analysis, a novel method for analyzing the nonlinear dynamics starting from writing Kirchhoff laws and constitutive relations of memristor circuit elements in the flux-charge domain. This analysis method reveals new peculiar and intriguing nonlinear phenomena in memristor circuits, such as the coexistence of different nonlinear dynamical behaviors, extreme multistability and bifurcations without parameters. The book also describes how arrays of memristor-based nonlinear oscillators and locally-coupled neural networks can be applied in the field of analog computing architectures. The book will be of interest to scientists and engineers involved in the conceptual design of physical memristor devices and systems, mathematical and circuit models of physical processes, circuits and networks design, system engineering, or data processing and system analysis.
Bibliography, etc. Note
Includes bibliographical references and index.
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text file
PDF
Source of Description
Online resource; title from digital title page (viewed on December 10, 2020).
Added Author
Forti, Mauro.
Chua, Leon O., 1936-
Chua, Leon O., 1936-
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Print version: 9783030556501
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Table of Contents
Preface
Part I preliminary:Brief of Nonlinear Dynamics of RCL Circuits
Part II Memristor Circuits:Flux-charge Analysis Method
Bifurcations without Parameters
Pulse Programming via Invariant Manifolds
Extended Class of Memristor Devices
Complex Dynamics in Arrays of Memristor Oscillators via the Flux-charge Method
Memristor Standard Cellular Neural Networks Computing in the Flux-Charge Domain
Solutions
References.
Part I preliminary:Brief of Nonlinear Dynamics of RCL Circuits
Part II Memristor Circuits:Flux-charge Analysis Method
Bifurcations without Parameters
Pulse Programming via Invariant Manifolds
Extended Class of Memristor Devices
Complex Dynamics in Arrays of Memristor Oscillators via the Flux-charge Method
Memristor Standard Cellular Neural Networks Computing in the Flux-Charge Domain
Solutions
References.