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Mathematical Models of Hysteresis

Authors: Mayergoyz, I.D.

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  • ISBN 978-1-4612-3028-1
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Softcover $139.99
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  • ISBN 978-1-4612-7767-5
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About this book

The purpose of this book is to describe in sufficient detail the mathematical models of hysteresis nonlinearities with "nonlocal memories. " The distinct feature of these nonlinearities is that their future states depend on past histories of input variations. It turns out that memories of hysteresis nonlinearities are quite selective. Indeed, experiments show that only some past input extrema (not the entire input variations) leave their marks upon future states of hysteresis nonlinearities. Thus, special mathematical tools are needed to describe nonlocal selective memories of hysteresis nonlinearities. The origin of such tools can be traced back to the landmark paper of Preisach. The book is primarily concerned with Preisach-type models of hysteresis. All these models have a common generic feature; they are constructed as superposi­ tions of simplest hysteresis nonlinearities-rectangular loops. The discussion is by and large centered around the following topics: various generalizations and extensions of the classical Preisach model (with special emphasis on vector generalizations), finding of necessary and sufficient conditions for the represen­ tation of actual hysteresis nonlinearities by various Preisach-type models, solution of identification problems for these models, and numerical implementa­ tion and experimental testing of Preisach-type models. Although the study of Preisach-type models constitutes the main subject of the book, some effort is also made to establish some interesting connections between these models and such topics as the critical state model for superconducting hysteresis, the classi­ cal Stoner-Wohlfarth model for vector magnetic hysteresis, thermal activation­ type models for viscosity, magnetostrictive hysteresis and neural networks.

Table of contents (3 chapters)

Table of contents (3 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-1-4612-3028-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $139.99
price for USA in USD
  • ISBN 978-1-4612-7767-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Models of Hysteresis
Authors
Copyright
1991
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York Inc.
eBook ISBN
978-1-4612-3028-1
DOI
10.1007/978-1-4612-3028-1
Softcover ISBN
978-1-4612-7767-5
Edition Number
1
Number of Pages
XX, 207
Topics