Differential Models Of Hysteresis
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Differential Models Of Hysteresis
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Author : Augusto Visintin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Differential Models Of Hysteresis written by Augusto Visintin 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 2013-06-29 with Mathematics categories.
Hysteresis effects occur in science and engineering: plasticity, ferromagnetism, ferroelectricity are well-known examples. Modelling and mathematical analysis of hysteresis phenomena have been addressed by mathematicians only recently, but are now in full development. This volume provides a self-contained and comprehensive introduction to the analysis of hysteresis models, and illustrates several new results in this field. First the classical models of Prandtl, Ishlinskii, Preisach and Duhem are formulated and studied, using the concept of "hysteresis operator". A new model of discontinuous hysteresis is introduced. Several partial differential equations containing hysteresis operators are studied in the framework of Sobolev spaces.
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.
Hysteresis And Phase Transitions
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Author : Martin Brokate
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Hysteresis And Phase Transitions written by Martin Brokate 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 Mathematics categories.
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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Author : Mark A. Krasnosel'skii
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Systems With Hysteresis written by Mark A. Krasnosel'skii 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 Mathematics categories.
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.
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
Noise Driven Phenomena In Hysteretic Systems
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Author : Mihai Dimian
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-04
Noise Driven Phenomena In Hysteretic Systems written by Mihai Dimian 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 2013-11-04 with Technology & Engineering categories.
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.
Mathematical Models For Structural Reliability Analysis
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Author : Fabio Casciati
language : en
Publisher: CRC Press
Release Date : 1996-07-24
Mathematical Models For Structural Reliability Analysis written by Fabio Casciati and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-24 with Mathematics categories.
Mathematical Models for Structural Reliability Analysis offers mathematical models for describing load and material properties in solving structural engineering problems. Examples are provided, demonstrating how the models are implemented, and the limitations of the models are clearly stated. Analytical solutions are also discussed, and methods are clearly distinguished from models. The authors explain both theoretical models and practical applications in a clear, concise, and readable fashion.
Differential Models Of Hysteresis
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Author : A. Visintin
language : it
Publisher:
Release Date :
Differential Models Of Hysteresis written by A. Visintin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Recent Advances In Automation Robotics And Measuring Techniques
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Author : Roman Szewczyk
language : en
Publisher: Springer
Release Date : 2014-07-08
Recent Advances In Automation Robotics And Measuring Techniques written by Roman Szewczyk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-08 with Technology & Engineering categories.
This book presents the recent advances and developments in control, automation, robotics and measuring techniques. It presents contributions of top experts in the fields, focused on both theory and industrial practice. The particular chapters present a deep analysis of a specific technical problem which is in general followed by a numerical analysis and simulation and results of an implementation for the solution of a real world problem. The book presents the results of the International Conference AUTOMATION 2014 held 26 - 28 March, 2014 in Warsaw, Poland on Automation – Innovations and Future Prospectives The presented theoretical results, practical solutions and guidelines will be useful for both researchers working in the area of engineering sciences and for practitioners solving industrial problems.
The Science Of Hysteresis
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Author : Giorgio Bertotti
language : en
Publisher: Elsevier
Release Date : 2005-12-20
The Science Of Hysteresis written by Giorgio Bertotti and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-20 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