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Mathematical Models Of Hysteresis


Mathematical Models Of Hysteresis
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Mathematical Models Of Hysteresis


Mathematical Models Of Hysteresis
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Author : I.D. Mayergoyz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Mathematical Models Of Hysteresis written by I.D. Mayergoyz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


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.



Mathematical Models Of Hysteresis And Their Applications


Mathematical Models Of Hysteresis And Their Applications
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Author : Isaak D. Mayergoyz
language : en
Publisher: Academic Press
Release Date : 2003-10-01

Mathematical Models Of Hysteresis And Their Applications written by Isaak D. Mayergoyz and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-01 with Mathematics categories.


This new edition has been significantly revised and updated to reflect advances in the field since the publication of the first edition, such as the systematic experimental testing of Preisach models of hysteresis. The author has, however, retained the two most salient features of the original, the emphasis on the universal nature of mathematical models of hysteresis and their applicability to the description of hysteresis phenomena in various areas of science, technology and economics and its accessibility to a broad audience of researchers, engineers, and students. · Provides a unique emphasis on the development of universal mathematical models of hysteresis· Accessibility to a broad audience, using simple and complex mathematical tools, application to various areas of science.· Presents new theoretical and experimental results



The Science Of Hysteresis Mathematical Modeling And Applications


The Science Of Hysteresis Mathematical Modeling And Applications
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Author : I. D. Mayergoyz
language : en
Publisher: Academic Press
Release Date : 2006

The Science Of Hysteresis Mathematical Modeling And Applications written by I. D. Mayergoyz and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.


Volume 1 covers: * Mathematical models * Differential equations * Stochastic aspects of hysteresis * Binary detection using hysteresis * Models of unemployment in economics Volume 2 covers: * Physical models of magnetic hysteresis * All aspects of magnetisation dynamics Volume 3 covers: * Hysteresis phenomena in materials * Over 2100 pages, rich with supporting illustrations, figures and equations * Contains contributions from an international list of authors, from a wide-range of disciplines * Covers all aspects of hysteresis - from differential equations, and binary detection, to models of unemployment and magnetisation dynamics.



Systems With Non Smooth Inputs


Systems With Non Smooth Inputs
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Author : Jürgen Appell
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-03-08

Systems With Non Smooth Inputs written by Jürgen Appell and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-08 with Mathematics categories.


The authors present a completely new and highly application-oriented field of nonlinear analysis. The work covers the theory of non-smooth input-output systems and presents various methods to non-standard applications in mathematics and physics. A particular focus lies on hysteresis and relay phenomena, electric circuits with diode nonlinearities, and biological systems with constraints.



Models Of Hysteresis


Models Of Hysteresis
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Author : Augusto Visintin
language : en
Publisher: CRC Press
Release Date : 1993-06-05

Models Of Hysteresis written by Augusto Visintin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-05 with Mathematics categories.


Hysteresis effects appear in several physical phenomena, such as ferromagnetism, ferroelectricity and plasticity. They also appear in many fields of engineering. This state-of-the-art volume provides a unique insight into this relatively new, but rapidly developing, topic of applied mathematics.



Vol 47 Der Priesterliche Dienst


Vol 47 Der Priesterliche Dienst
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Author :
language : en
Publisher:
Release Date : 1970

Vol 47 Der Priesterliche Dienst written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.




The Science Of Hysteresis Physical Modeling Micromagnetics And Magnetization Dynamics


The Science Of Hysteresis Physical Modeling Micromagnetics And Magnetization Dynamics
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Author : I. D. Mayergoyz
language : en
Publisher: Gulf Professional Publishing
Release Date : 2006

The Science Of Hysteresis Physical Modeling Micromagnetics And Magnetization Dynamics written by I. D. Mayergoyz and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.


Volume 1 covers: * Mathematical models * Differential equations * Stochastic aspects of hysteresis * Binary detection using hysteresis * Models of unemployment in economics Volume 2 covers: * Physical models of magnetic hysteresis * All aspects of magnetisation dynamics Volume 3 covers: * Hysteresis phenomena in materials * Over 2100 pages, rich with supporting illustrations, figures and equations * Contains contributions from an international list of authors, from a wide-range of disciplines * Covers all aspects of hysteresis - from differential equations, and binary detection, to models of unemployment and magnetisation dynamics.



Mathematical Models Of Hysteresis Progress Report No 4 January 1 1991 December 31 1991


Mathematical Models Of Hysteresis Progress Report No 4 January 1 1991 December 31 1991
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Author :
language : en
Publisher:
Release Date : 1991

Mathematical Models Of Hysteresis Progress Report No 4 January 1 1991 December 31 1991 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.


The research described in this proposal is currently being supported by the US Department of Energy under the contract ''Mathematical Models of Hysteresis''. Thus, before discussing the proposed research in detail, it is worthwhile to describe and summarize the main results achieved in the course of our work under the above contract. Our ongoing research has largely been focused on the development of mathematical models of hysteretic nonlinearities with ''nonlocal memories''. The distinct feature of these nonlinearities is that their current states depend on past histories of input variations. It turns out that memories of hysteretic nonlinearities are quite selective. Indeed, experiments show that only some past input extrema leave their marks upon future states of hysteretic nonlinearities. Thus special mathematical tools are needed in order to describe nonlocal selective memories of hysteretic nonlinearities. Our research has been primarily concerned with Preisach-type models of hysteresis. All these models have a common generic feature; they are constructed as superpositions of simplest hysteretic nonlinearities-rectangular loops. Our study has by and large been centered around the following topics: various generalizations and extensions of the classical Preisach model, finding of necessary and sufficient conditions for the representation of actual hysteretic nonlinearities by various Preisach type models, solution of identification problems for these models, numerical implementation and experimental testing of Preisach type models. Although the study of Preisach type models has constituted the main direction of the research, some effort has also been made to establish some interesting connections between these models and such topics as: the critical state model for superconducting hysteresis, the classical Stoner-Wohlfarth model of vector magnetic hysteresis, thermal activation type models for viscosity, magnetostrictive hysteresis and neural networks.



Differential Models Of Hysteresis


Differential Models Of Hysteresis
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Author : Augusto Visintin
language : en
Publisher:
Release Date : 2014-01-15

Differential Models Of Hysteresis written by Augusto Visintin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




The Science Of Hysteresis Hysteresis In Materials


The Science Of Hysteresis Hysteresis In Materials
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Author : I. D. Mayergoyz
language : en
Publisher: Gulf Professional Publishing
Release Date : 2006

The Science Of Hysteresis Hysteresis In Materials written by I. D. Mayergoyz and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.


Volume 1 covers: * Mathematical models * Differential equations * Stochastic aspects of hysteresis * Binary detection using hysteresis * Models of unemployment in economics Volume 2 covers: * Physical models of magnetic hysteresis * All aspects of magnetisation dynamics Volume 3 covers: * Hysteresis phenomena in materials * Over 2100 pages, rich with supporting illustrations, figures and equations * Contains contributions from an international list of authors, from a wide-range of disciplines * Covers all aspects of hysteresis - from differential equations, and binary detection, to models of unemployment and magnetisation dynamics.