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Author: Hamid Reza Noori Publisher: Springer Science & Business Media ISBN: 3642382185 Category : Mathematics Languages : en Pages : 51
Book Description
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.
Author: Hamid Reza Noori Publisher: Springer Science & Business Media ISBN: 3642382185 Category : Mathematics Languages : en Pages : 51
Book Description
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.
Author: Mark A. Krasnosel'skii Publisher: Springer Science & Business Media ISBN: 3642613020 Category : Mathematics Languages : en Pages : 429
Book Description
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.
Author: Giorgio Bertotti Publisher: Gulf Professional Publishing ISBN: 9780120932702 Category : Mathematics Languages : en Pages : 584
Book Description
Introduction: Magnetic Hysteresis. Types of Hysteresis. Maxwells Equations and Thermodynamics: Maxwells Equations in Magnetic Media. Magnetic Work and Thermodynamics. Magnetic Free Energy: Exchange and Anisotropy. Micromagnetics. Magnetic Domains and Domain Walls. The Magnetization Process: Coherent Rotation. Domain Wall Motion. Magnetization Curves. Coercivity Mechanisms. Eddy Currents. Preisach Systems: Collections of Bistable Units. Hysteresis in Preisach Systems. Appendixes: Systems of Units. Vector Relations. Reciprocity Theorems. Micromagnetic Parameters. Stochastic Processes. Bibliography. Index.
Author: I. D. Mayergoyz Publisher: Academic Press ISBN: 0123694310 Category : Science Languages : en Pages : 764
Book Description
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.
Author: Augusto Visintin Publisher: Springer Science & Business Media ISBN: 3662115573 Category : Mathematics Languages : en Pages : 420
Book Description
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.
Author: Henry Smirnov Publisher: CRC Press ISBN: 1420062077 Category : Science Languages : en Pages : 406
Book Description
Two-phase nano- and micro-thermal control device research is now proving relevant to a growing range of modern applications, including those in cryogenics, thermal engineering, MEMS, and aerospace engineering. Until now, researchers have lacked a definitive resource that provides a complete review of micro- and nano-scale evaporative heat and mass
Author: Giorgio Bertotti Publisher: Academic Press ISBN: 0080534376 Category : Technology & Engineering Languages : en Pages : 576
Book Description
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
Author: P Chen Publisher: Taylor & Francis US ISBN: 9781855739284 Category : Medical Languages : en Pages : 712
Book Description
This book combines three fundamental areas of interest to the science and engineering community, these being material science, nanotechnology and molecular engineering. Although there have been various results published in this field, there has yet to be a fully comprehensive review. This book covers key research on molecular mechanisms and thermodynamic behaviour of (bio)polymer surfaces and interfaces, from theoretical and experimental perspectives.
Author: Jürgen Appell Publisher: Walter de Gruyter GmbH & Co KG ISBN: 3110709864 Category : Mathematics Languages : en Pages : 288
Book Description
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.
Author: Hamid Reza Noori
Author: Hamid Reza Noori
Author: Mihai Dimian
Author: Mark A. Krasnosel'skii
Author: Giorgio Bertotti
Author: I. D. Mayergoyz
Author: Augusto Visintin
Author: Henry Smirnov
Author: Giorgio Bertotti
Author: P Chen
Author: Jürgen Appell