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Author Dimian, Mihai,
Title Noise-driven phenomena in hysteretic systems / Mihai Dimian, Petru Andrei.
Imprint New York ; London : Springer, 2013.

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View online
Author Dimian, Mihai,
Series Signals and communication technology ; volume 218
Signals and communication technology ; v. 218.
Subject Hysteresis.
Hysteresis -- Mathematical models.
Electronic noise.
Alt Name Andrei, Petru,
Description 1 online resource.
Summary Annotation Adopting a generalized approach to nonlinear systems with hysteresis driven by noisy inputs, this book proposes a unitary framework for analysing stochastic aspects of hysteresis, deploying a variety of models to portray the input noise - from white to pink.
Contents Preface; Contents; 1 Mathematical Models of Hysteresis; 1.1 ... Introduction; 1.1.1 Definitions, Notations, and Terminology; 1.1.2 Classification of Hysteresis Models; 1.1.3 Parameter Identification Methods; Identification Techniques Based on Evolutionary Algorithms; Identification Techniques Based on Linear Least-Square Minimizations; 1.1.4 Inverse Modeling; 1.1.5 Numerical Implementation of Hysteretic Models; 1.1.6 The Rectangular Hysteresis Operator; 1.2 ... The Preisach Model; 1.2.1 Definition; 1.2.2 General Properties and the Representation Theorem.
1.2.3 Examples of Preisach Analytical Distributions1.2.4 Computation of Hysteresis Curves in the Preisach Model; 1.2.5 Generalizations of the Preisach Model; The Moving Preisach Model; The Input-Dependent Preisach model; Other Preisach-Type Models; 1.2.6 Relation Between the Preisach Model and Other Models of Hysteresis; Relay Hysteresis Operator; The Backlash (Play) Operator; The Stop Operator; 1.3 ... Jiles-Atherton Model; 1.3.1 Definition; 1.3.2 General Properties of Hysteretic Curves; 1.3.3 Parameter Identification Methods.
1.4 ... Energetic (Hauser) Model1.4.1 Definition; 1.4.2 General Properties of Hysteretic Curves; 1.4.3 Parameter Identification Methods; Computation of {\varvec k}, {\varvec q}, and {\varvec N}_{{\varvec e}} ; Computation of {\varvec h} and {\varvec g} in the Classical Energetic Model ({\varvec c}_{{\varvec r}} = 0); Computation of {{\bf h }}, {{\bf g}}, and {{\bf c_{r}}} in the Complete Energetic Model; 1.5 ... Bouc-Wen Model; 1.5.1 Definition; 1.5.2 General Properties of Hysteretic Curves; 1.6 ... Coleman-Hodgdon Model; 1.6.1 Definition. The Direct Coleman-Hodgdon Model1.6.1.2 The Reverse Coleman-Hodgdon Model; Conditions on the Choice of Material Functions; 1.6.2 General Properties of Hysteretic Curves; 1.6.3 Parameter Identification Methods; Determination of Functions {{\bf f}} and {{\bf g}} and Parameter {{\varvec \alpha_{0}}} ; Determination of Parameters {{\varvec \alpha_{0}}}, {{\bf D_{1}}}, {{\bf D_{2}}}, and {{\bf D_{3}}} ; Determination of Parameters {{\varvec \mu_{s}}}, {{\varvec \alpha_{0}}}, {{\bf A_{1}}}, {{\bf A_{2}}}, {{\bf A_{3}}} \, and {{\bf A_{4}}}
1.7 ... Dynamic Models of Hysteresis1.7.1 Models Based on the Feedback Theory; 1.7.2 Models Based on the Relaxation Time Approximation; 1.8 ... Vector Models of Hysteresis; 1.8.1 Two-Dimensional Models of Hysteresis; 1.8.2 Three-Dimensional Models of Hysteresis; 1.9 ... Summary; References; 2 Noise and Stochastic Processes; 2.1 ... Noise; 2.1.1 Introduction; 2.1.2 Wiener Process; 2.1.3 Ito Stochastic Integral and Differential Equations; 2.1.4 White Noise; 2.1.5 Ornstein-Uhlenbeck Noise; 2.1.6 Brownian Motion in a Double Well-Potential; 2.1.7 Pink (1/f) Noise; 2.1.8 Other Classes of Colored Noise.
Note Print version record.
ISBN 9781461413745 (electronic bk.)
1461413745 (electronic bk.)
OCLC # 862813175
Additional Format Print version: Dimian, Mihai. Noise-driven phenomena in hysteretic systems 9781461413738 (OCoLC)812688359

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