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Noise-Driven Phenomena in Hysteretic Systems

Part of the Signals and Communication Technology Book Series (volume 218)

DOI: 10.1007/978-1-4614-1374-5

ISBN: 978-1-4614-1373-8

Publisher: Springer New York - Springer Journals

Nov 5, 2013

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Chapter 1Mathematical Models of Hysteresis

Dimian, Mihai; Andrei, Petru

Pages: 1 –63

[This chapter offers an overview of the hysteresis models that will be used throughout the book. After a short general classification of hysteresis models and parameter identification methods, the rectangular hysteresis operator is introduced. Then, the chapter focuses on summarizing the main...
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Chapter 2Noise and Stochastic Processes

Dimian, Mihai; Andrei, Petru

Pages: 65 –103

[This chapter presents an overview of the noise models that will be used throughout the book. In the area of magnetic hysteresis, most of the research employed Gaussian white noise as noise model, which is mathematically described by independent and identically distributed random variables...
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Chapter 3Stochastically Driven Hysteretic Systems in Science and Engineering

Dimian, Mihai; Andrei, Petru

Pages: 105 –139

[This chapter presents an overview of hysteresis phenomena arising from various areas of science and engineering. A special interest is devoted to the classical area of magnetism, where fundamental deterministic and stochastic aspects of hysteresis are discussed in details. Then, prevalent...
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Chapter 4Noise Driven Relaxation Phenomena in Hysteretic Systems

Dimian, Mihai; Andrei, Petru

Pages: 141 –165

[This chapter analyzes noise driven relaxation phenomena in scalar and vector hysteretic systems. The analysis is performed only in the time domain without making any reference to the frequency domain. Analytical and numerical results are presented for most hysteretic models introduced in the...
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Chapter 5Noise Spectral Density of Hysteretic Systems

Dimian, Mihai; Andrei, Petru

Pages: 167 –200

[This chapter presents the analysis of output spectral density for hysteretic systems driven by noisy inputs. Closed form analytical solutions for output spectra are derived for bistable hysteretic systems, as well as for complex hysteretic systems that can be described through Preisach model as...
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Chapter 6Constructive Effects of Noise in Hysteretic Systems

Dimian, Mihai; Andrei, Petru

Pages: 201 –217

[This chapter presents benefits of noise in hysteretic systems by using the framework developed in the previous chapters. While it is mostly seen as a disruptive effect, noise can also have a constructive role by helping a system to overcome a barrier in various activation processes, by providing...

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