UID:
almafu_9960072724002883
Umfang:
1 online resource (2144 p.)
Ausgabe:
1st ed.
ISBN:
1-282-34502-8
,
9786612345029
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0-08-054078-3
Inhalt:
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
Anmerkung:
Description based upon print version of record.
,
Front Cover; The Science of Hysteresis; Copyright Page; Contents; Preface; Contributors; Chapter 1. Mathematical Models of Hysteresis; 1.1 Hysteresis Operators; 1.2 The Duhem Model; 1.3 Rheological Models of Elasto-plasticity; 1.4 Discontinuous Hysteresis; 1.5 Micromagnetism; 1.6 Models of Hysteresis with Internal Variables; 1.7 Genesis of Hysteresis and Coupling with PDEs; 1.8 A Transport Equation with Hysteresis; 1.9 A Quasilinear Parabolic PDE with Hysteresis; 1.10 A Quasilinear Hyperbolic PDE with Hysteresis; 1.11 Hysteresis in Porous-Media Filtration; 1.12 Conclusions
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1.13 Appendix. Elements of Convex CalculusAcknowledgement; References; Chapter 2. Differential Equations with Hysteresis via a Canonical Example; 2.1 Hysteresis Phenomena; 2.2 Numerical Experiments; 2.3 Examples of Rigorous Conclusions; 2.4 Examples of Technical Toolboxes; Acknowledgement; References; Chapter 3. Scalar Preisach Models of Hysteresis; 3.1 The Classical Preisach Model of Hysteresis; 3.2 Generalized Scalar Preisach Models of Hysteresis; References; Chapter 4. Vector Preisach Models of Hysteresis; 4.1 Classical Stoner-Wohlfarth Model Vector Hysteresis
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4.2 Definition of Vector Preisach Models of Hysteresis and their Numerical Implementation4.3 Some Basic Properties of Vector Preisach Hysteresis Models; 4.4 Identification Problem for Isotropic Vector Preisach Models; 4.5 Identification Problem for Anisotropic Vector Preisach Models; 4.6 Dynamic Vector Preisach Models of Hysteresis; 4.7 Generalized Vector Preisach Models of Hysteresis. Experimental Testing; References; Chapter 5. Stochastic Aspects of Hysteresis; 5.1 Preisach Model with Stochastic Input as a Model of Thermal Relaxations
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5.2 Experimental Testing. Scaling and Data Collapse in Magnetic Viscosity5.3 Preisach Model Driven by Continuous-Time Noise. Origin of the Universality of Long-Time Thermal Relaxations; 5.4 Noise in Hysteretic Systems and Stochastic Processes on Graphs; 5.5 Analysis of Spectral Noise Density of Hysteretic Systems Driven by Stochastic Processes; 5.6 Modeling of Temperature-Dependent Hysteresis within the Framework of Randomly Perturbed Fast Dynamical Systems; 5.7 Functional (Path) Integration Models of Hysteresis; References; Chapter 6. Control of Systems with Hysteresis; 6.1 Introduction
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6.2 Optimal Control of Systems with Simple Hysteretic Elements6.3 Optimal Control of Systems with Hysteron-Type Operators; 6.4 Optimal Control of Systems with Preisach Hysteresis; 6.5 Hysteresis from Optimal Control, and Hysteresis for Optimal Control; References; Chapter 7. Binary Detection and Rectangular Hysteresis Operators; 7.1 Introduction; 7.2 General System Description and Outline; 7.3 Input Process and Mid-Span Repeater; 7.4 Receiver Integrator Output: Probability Density Function Calculation; 7.5 Summary; 7.6 Concluding Remarks; References
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Chapter 8. Hysteresis and Unemployment: A Preliminary Investigation
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English
Weitere Ausg.:
ISBN 0-12-480874-3
Sprache:
Englisch
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