Mathematical Models of Hysteresis

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Publisher : Springer Science & Business Media
ISBN 13 : 1461230284
Total Pages : 225 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematical Models of Hysteresis by : I.D. Mayergoyz

Download or read book Mathematical Models of Hysteresis written by I.D. Mayergoyz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Differential Models of Hysteresis

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Publisher : Springer Science & Business Media
ISBN 13 : 3662115573
Total Pages : 420 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Differential Models of Hysteresis by : Augusto Visintin

Download or read book Differential Models of Hysteresis written by Augusto Visintin and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hysteresis effects occur in science and engineering: plasticity, ferromagnetism, ferroelectricity are well-known examples. This volume provides a self-contained and comprehensive introduction to the analysis of hysteresis models, and illustrates several new results in this field.

Mathematical Models of Hysteresis and their Applications

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Publisher : Academic Press
ISBN 13 : 0080535895
Total Pages : 499 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Mathematical Models of Hysteresis and their Applications by : Isaak D. Mayergoyz

Download or read book Mathematical Models of Hysteresis and their Applications written by Isaak D. Mayergoyz and published by Academic Press. This book was released on 2003-10-01 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Academic Press
ISBN 13 : 0123694310
Total Pages : 764 pages
Book Rating : 4.1/5 (236 download)

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Book Synopsis The Science of Hysteresis: Mathematical modeling and applications by : I. D. Mayergoyz

Download or read book The Science of Hysteresis: Mathematical modeling and applications written by I. D. Mayergoyz and published by Academic Press. This book was released on 2006 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Hysteresis

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Publisher : Springer Science & Business Media
ISBN 13 : 3642613020
Total Pages : 429 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Systems with Hysteresis by : Mark A. Krasnosel'skii

Download or read book Systems with Hysteresis written by Mark A. Krasnosel'skii and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hysteresis phenomena are common in numerous physical, mechanical, ecological and biological systems. They reflect memory effects and process irreversibility. The use of hysteresis operators (hysterons) offers an approach to macroscopic modelling of the dynamics of phase transitions and rheological systems. The applications cover processes in electromagnetism, elastoplasticity and population dynamics in particular. Hysterons are also typical elements of control systems where they represent thermostats and other discontinuous controllers with memory. The book offers the first systematic mathematical treatment of hysteresis nonlinearities. Construction procedures are set up for hysterons in various function spaces, in continuous and discontinuous cases. A general theory of variable hysterons is developed, including identification and stability questions. Both deterministic and non-deterministic hysterons are considered, with applications to the study of feedback systems. Many of the results presented - mostly obtained by the authors and their scientific group - have not been published before. The book is essentially self contained and is addressed both to researchers and advanced students.

Hysteresis in Magnetism

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Publisher : Academic Press
ISBN 13 : 0080534376
Total Pages : 576 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Hysteresis in Magnetism by : Giorgio Bertotti

Download or read book Hysteresis in Magnetism written by Giorgio Bertotti and published by Academic Press. This book was released on 1998-05-21 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive treatment of the physics of hysteresis in magnetism and of the mathematical tools used to describe it. Hysteresis in Magnetism discusses from a unified viewpoint the relationsof hysteresis to Maxwells equations, equilibrium and non-equilibrium thermodynamics, non-linear system dynamics, micromagnetics, and domain theory. These aspects are then applied to the interpretation of magnetization reversal mechanisms: coherent rotation and switching in magnetic particles, stochastic domain wall motion and the Barkhausen effect, coercivity mechanisms and magnetic viscosity, rate-dependent hysteresis and eddy-current losses. The book emphasizes the connection between basic physical ideas and phenomenological models of interest to applications, and, in particular, to the conceptual path going from Maxwells equations and thermodynamics to micromagnetics and to Preisach hysteresis modeling. - The reader will get insight into the importance and role of hysteresis in magnetism; In particular, he will learn: - which are the fingerprints of hysteresis in magnetism - which are the situations in which hysteresis may appear - how to describe mathematically these situations - how to apply these descriptions to magnetic materials - how to interpret and predict magnetic hysteresis phenomena observed experimentally

Hysteresis Phenomena in Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 3642382185
Total Pages : 51 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Hysteresis Phenomena in Biology by : Hamid Reza Noori

Download or read book Hysteresis Phenomena in Biology written by Hamid Reza Noori and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt: The occurrence of hysteresis phenomena has been traditionally associated with mechanical and magnetic properties of materials. However, recent studies on the dynamics of biological processes suggest switch-like behavior that could be described by mathematical models of hysteresis. This book presents the milestones and perspectives of biological hysteresis and provides a comprehensive and application-oriented introduction to this subject. The target audience primarily comprises researchers but the book may also be beneficial for graduate students.

Hysteresis And Neural Memory

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Publisher : World Scientific
ISBN 13 : 9811209529
Total Pages : 292 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Hysteresis And Neural Memory by : Mayergoyz Isaak D

Download or read book Hysteresis And Neural Memory written by Mayergoyz Isaak D and published by World Scientific. This book was released on 2019-08-20 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a concise and rigorous exposition of Preisach hysteresis models and their applications to the modeling of neural memory. It demonstrates that memory of Preisach hysteresis models mimics such properties as: selective nature of neural memories extracted from sensory inputs, distributed nature of neural memories and their engrams, neural memory formation as an emerging property of sparse connectivity, neural memory stability with respect to protein turnover, neural memory storage plasticity and neural memory recalls and their effect on storage.The text is designed to be accessible and appealing to a broad audience of neuroscientists, biologists, bioengineers, electrical engineers, applied mathematicians and physicists interested in neural memory and its molecular basis.

Models of Hysteresis

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Publisher : CRC Press
ISBN 13 : 9780582209008
Total Pages : 440 pages
Book Rating : 4.2/5 (9 download)

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Book Synopsis Models of Hysteresis by : Augusto Visintin

Download or read book Models of Hysteresis written by Augusto Visintin and published by CRC Press. This book was released on 1993-06-05 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Systems with Non-Smooth Inputs

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110709864
Total Pages : 288 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Systems with Non-Smooth Inputs by : Jürgen Appell

Download or read book Systems with Non-Smooth Inputs written by Jürgen Appell and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-03-08 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Hysteresis and Phase Transitions

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Publisher : Springer Science & Business Media
ISBN 13 : 1461240484
Total Pages : 368 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Hysteresis and Phase Transitions by : Martin Brokate

Download or read book Hysteresis and Phase Transitions written by Martin Brokate and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hysteresis is an exciting and mathematically challenging phenomenon that oc curs in rather different situations: jt, can be a byproduct offundamental physical mechanisms (such as phase transitions) or the consequence of a degradation or imperfection (like the play in a mechanical system), or it is built deliberately into a system in order to monitor its behaviour, as in the case of the heat control via thermostats. The delicate interplay between memory effects and the occurrence of hys teresis loops has the effect that hysteresis is a genuinely nonlinear phenomenon which is usually non-smooth and thus not easy to treat mathematically. Hence it was only in the early seventies that the group of Russian scientists around M. A. Krasnoselskii initiated a systematic mathematical investigation of the phenomenon of hysteresis which culminated in the fundamental monograph Krasnoselskii-Pokrovskii (1983). In the meantime, many mathematicians have contributed to the mathematical theory, and the important monographs of 1. Mayergoyz (1991) and A. Visintin (1994a) have appeared. We came into contact with the notion of hysteresis around the year 1980.

Systems with Hysteresis

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Publisher : John Wiley & Sons
ISBN 13 : 9780470513194
Total Pages : 222 pages
Book Rating : 4.5/5 (131 download)

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Book Synopsis Systems with Hysteresis by : Fayçal Ikhouane

Download or read book Systems with Hysteresis written by Fayçal Ikhouane and published by John Wiley & Sons. This book was released on 2007-09-27 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hysterisis is a system property that is fundamental to a range of engineering applications as the components of systems with hysterisis are able to react differently to different forces applied to them. Control theory is used to model these complex systems and cause them to behave in the desired manner; the Bouc-Wen model is a well-known semi-physical model that is used extensively to describe the hysterisis of systems in the areas of smart structures and civil engineering. The Bouc-Wen model for system hysterisis has increased in popularity due to its capability of capturing in an analytical form a range of shapes of hysteretic cycles that match the behaviour of a wide class of hysteretic systems. “Systems with Hysterisis: Analysis, Identification and Control using the Bouc-Wen Model” deals with the analysis, identification and control of these systems, and offers a comprehensive and self-contained framework for the study of the Bouc-Wen model. Includes the latest techniques for modelling smart structures and materials Provides a rigorous mathematical treatment of the subject along with practical comments, numerical solutions and a case study of magentorheological (MR) dampers. Begins by analysing the compatibility of the Bouc-Wen model with the laws of physics, and continues to cover the relationship between the model parameters and hysterisis loop, identification of the model parameters and control of systems that include a hysteretic part described by the Bouc-Wen model. Includes case studies covering the identification and control of smart material transducers for use in automotive, aerospace and structural control Systems with Hysterisis: Analysis, Identification and Control using the Bouc-Wen Model offers an invaluable source of ideas, concepts and insights for engineers, researchers, lecturers and senior/ postgraduate students involved in the research, design and development of smart structures and related areas within civil and mechanical engineering. It will also be of interest to readers involved in the wider disciplines of electrical & control engineering, applied mathematics, applied physics and material science.

Noise-Driven Phenomena in Hysteretic Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461413745
Total Pages : 240 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Noise-Driven Phenomena in Hysteretic Systems by : Mihai Dimian

Download or read book Noise-Driven Phenomena in Hysteretic Systems written by Mihai Dimian and published by Springer Science & Business Media. This book was released on 2013-11-04 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noise-Driven Phenomena in Hysteretic Systems provides a general approach to nonlinear systems with hysteresis driven by noisy inputs, which leads to a unitary framework for the analysis of various stochastic aspects of hysteresis. This book includes integral, differential and algebraic models that are used to describe scalar and vector hysteretic nonlinearities originating from various areas of science and engineering. The universality of the authors approach is also reflected by the diversity of the models used to portray the input noise, from the classical Gaussian white noise to its impulsive forms, often encountered in economics and biological systems, and pink noise, ubiquitous in multi-stable electronic systems. The book is accompanied by HysterSoft© - a robust simulation environment designed to perform complex hysteresis modeling – that can be used by the reader to reproduce many of the results presented in the book as well as to research both disruptive and constructive effects of noise in hysteretic systems.

The Science of Hysteresis: Physical modeling, micromagnetics, and magnetization dynamics

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Author :
Publisher : Gulf Professional Publishing
ISBN 13 : 9780123694324
Total Pages : 664 pages
Book Rating : 4.6/5 (943 download)

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Book Synopsis The Science of Hysteresis: Physical modeling, micromagnetics, and magnetization dynamics by : I. D. Mayergoyz

Download or read book The Science of Hysteresis: Physical modeling, micromagnetics, and magnetization dynamics written by I. D. Mayergoyz and published by Gulf Professional Publishing. This book was released on 2006 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Magnetic Hysteresis

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Publisher : Wiley-IEEE Press
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Magnetic Hysteresis by : Edward Della Torre

Download or read book Magnetic Hysteresis written by Edward Della Torre and published by Wiley-IEEE Press. This book was released on 1999 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding magnetic hysteresis is vitally important to the development of the science of magnetism as a whole and to the advancement of practical magnetic device applications. Magnetic Hysteresis, by acclaimed expert Edward Della Torre, presents a clear explanation of the connection between physical principles and phenomenological hysteresis. This comprehensive book offers a lucid analysis that enables the reader to save valuable time by reducing trial-and-error design. Dr. Della Torre uses physical principles to modify Preisach modeling and to describe the complex behavior of magnetic media. While Pretsach modeling is a useful mathematical tool, its congruency and deletion properties present limitations to accurate descriptions of magnetic materials. Step-by-step, this book describes the modifications that can overcome these limitations. Special attention is given to the use of feedback around a Preisach transducer to remove the congruency restriction, and to the use of accommodation and aftereffect models to remove the deletion restriction. Magnetic state selection rules are introduced to couple scalar Preisach models to form a vector model. Magnetic Hysteresis is indispensable reading for engineers, physicists, and materials scientists who want to gain a better understanding of hysteresis losses and create more energy-efficient motor designs.

Hysteresis and Business Cycles

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Publisher : International Monetary Fund
ISBN 13 : 1513536990
Total Pages : 50 pages
Book Rating : 4.5/5 (135 download)

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Book Synopsis Hysteresis and Business Cycles by : Ms.Valerie Cerra

Download or read book Hysteresis and Business Cycles written by Ms.Valerie Cerra and published by International Monetary Fund. This book was released on 2020-05-29 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditionally, economic growth and business cycles have been treated independently. However, the dependence of GDP levels on its history of shocks, what economists refer to as “hysteresis,” argues for unifying the analysis of growth and cycles. In this paper, we review the recent empirical and theoretical literature that motivate this paradigm shift. The renewed interest in hysteresis has been sparked by the persistence of the Global Financial Crisis and fears of a slow recovery from the Covid-19 crisis. The findings of the recent literature have far-reaching conceptual and policy implications. In recessions, monetary and fiscal policies need to be more active to avoid the permanent scars of a downturn. And in good times, running a high-pressure economy could have permanent positive effects.

Hysteresis Models in Electromagnetic Computation

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Publisher :
ISBN 13 : 9789630574167
Total Pages : 229 pages
Book Rating : 4.5/5 (741 download)

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Book Synopsis Hysteresis Models in Electromagnetic Computation by : Amália Iványi

Download or read book Hysteresis Models in Electromagnetic Computation written by Amália Iványi and published by . This book was released on 1997 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: