Mathematical Models Of Hysteresis And Their Applications

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Author: Isaak D. Mayergoyz
Publisher: Academic Press
ISBN: 0080535895
Size: 27.77 MB
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Mathematical Models Of Hysteresis And Their Applications by Isaak D. Mayergoyz


Original Title: Mathematical Models Of Hysteresis And Their Applications

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

Aspects Of Mathematical Modelling

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Author: Roger J. Hosking
Publisher: Springer Science & Business Media
ISBN: 9783764385910
Size: 17.53 MB
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Aspects Of Mathematical Modelling by Roger J. Hosking


Original Title: Aspects Of Mathematical Modelling

The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.

Noise Driven Phenomena In Hysteretic Systems

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Author: Mihai Dimian
Publisher: Springer Science & Business Media
ISBN: 1461413745
Size: 44.32 MB
Format: PDF
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Noise Driven Phenomena In Hysteretic Systems by Mihai Dimian


Original Title: Noise Driven Phenomena In Hysteretic Systems

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.

Electromagnetism Of Continuous Media

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Author: Mauro Fabrizio
Publisher: Oxford University Press
ISBN: 9780198527008
Size: 33.97 MB
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Electromagnetism Of Continuous Media by Mauro Fabrizio


Original Title: Electromagnetism Of Continuous Media

For graduate students and researchers, this self contained text provides a carefully structured, coherent, and comprehensive treatment of the mathematical modelling in electromagnetism of continuous media. The authors provide a systematic review of known subjects along with many original results. Part I reviews basic notions and approaches in electromagnetism (Maxwell's equations, Green's functions, harmonic fields, dispersive effects) and emphasizes the physical motivation for the modelling of non-conventional materials. The frequency-dependent properties (such as conductivity, polarizability, and magnetizability), which enter wave diffraction and dispersion, are shown, and these lead to a discussion of models of materials with fading memory in the time domain. Part II develops the thermodynamics of electromagnetic and thermoelectromagnetic materials with memory and provides a systematic account of thermodynamic restrictions. Existence, uniqueness and stability problems are investigated. Also, variational formulations and wave propagation solution are established. Part III is devoted to more involved models which are motivated by the interest in materials and structures with non-conventional properties. The mathematical modelling deals with non-linearity, non-locality and hysteresis. In non-linear materials attention is focussed on the generation of harmonics and in discontinuity waves. Non-locality is examined in a general way and hence is applied to superconductivity. Hysteresis is developed for magnetism. A review of known schemes is given along with new results about the modelling of hysteresis loops. The wide application of technologies in new mechanical, electronic and biomedical systems calls for materials and structures with non-conventional properties (e.g materials with 'memory'). Of equal importance is the understanding of the physical behaviour of these materials and consequently developing mathematical modelling techniques for prediction. Includes appendices that include some properties of Bessel functions, Fourier transforms and Sobolev spaces, compact operators and eigenfunctions, differential operators in curvilinear coordinates, and finite formulation of electromagnetism.

5th International Workshop On Adaptive Optics For Industry And Medicine

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Author: Wenhan Jiang
Publisher: Society of Photo Optical
ISBN: 9780819460424
Size: 15.66 MB
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5th International Workshop On Adaptive Optics For Industry And Medicine by Wenhan Jiang


Original Title: 5th International Workshop On Adaptive Optics For Industry And Medicine

Proceedings of SPIE present the original research papers presented at SPIE conferences and other high-quality conferences in the broad-ranging fields of optics and photonics. These books provide prompt access to the latest innovations in research and technology in their respective fields. Proceedings of SPIE are among the most cited references in patent literature.

On The Mathematical Modeling Of Memristor Memcapacitor And Meminductor

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Author: Ahmed G. Radwan
Publisher: Springer
ISBN: 3319174916
Size: 67.60 MB
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On The Mathematical Modeling Of Memristor Memcapacitor And Meminductor by Ahmed G. Radwan


Original Title: On The Mathematical Modeling Of Memristor Memcapacitor And Meminductor

This book introduces the basic fundamentals, models, emulators and analyses of mem-elements in the circuit theory with applications. The book starts reviewing the literature on mem-elements, models and their recent applications. It presents mathematical models, numerical results, circuit simulations, and experimental results for double-loop hysteresis behavior of mem-elements. The authors introduce a generalized memristor model in the fractional-order domain under different input and different designs for emulator-based mem-elements, with circuit and experimental results. The basic concept of memristive-based relaxation-oscillators in the circuit theory is also covered. The reader will moreover find in this book information on memristor-based multi-level digital circuits, memristor-based multi-level multiplier and memcapacitor-based oscillators and synaptic circuits.

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