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Noise Driven Relaxation Phenomena in Hysteretic Systems

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Noise-Driven Phenomena in Hysteretic Systems

Part of the book series: Signals and Communication Technology ((SCT,volume 218))

Abstract

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 first chapter. It is shown that the effect of thermal relaxation is to erase the history of the system by bringing it to a new, nondeterministic state. Special consideration is given to the degradation of the Preisach distribution and the separation line between the positive and negative hysterons in the Preisach model. The chapter also introduces scalar and vector viscosity coefficients and discusses the data collapse phenomenon.

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, Howard University and Stefan cel Mare University, 2400 Sixth Street, NW, Washington, DC, 20059, USA

    Mihai Dimian

  2. Department of Electrical and Computer Engineering, Florida State University and Florida A&M University, Tallahasse, FL, 32310, USA

    Petru Andrei

Authors
  1. Mihai Dimian
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  2. Petru Andrei
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Correspondence to Mihai Dimian .

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Dimian, M., Andrei, P. (2014). Noise Driven Relaxation Phenomena in Hysteretic Systems. In: Noise-Driven Phenomena in Hysteretic Systems. Signals and Communication Technology, vol 218. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1374-5_4

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  • DOI: https://doi.org/10.1007/978-1-4614-1374-5_4

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-1373-8

  • Online ISBN: 978-1-4614-1374-5

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