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Constructive Effects of Noise in Hysteretic Systems

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Book cover Noise-Driven Phenomena in Hysteretic Systems

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

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Abstract

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 some degree of randomness useful in audio or visual perceptions, or by activating some kind of resonance response in nonlinear systems. These aspects are introduced and intuitively explained while providing a short overview of key results obtained in this area. Although the applications of noise benefits spread over many areas, from climatology and signal processing to nanotechnology and neuroscience, most of the studies can be theoretically framed into two-state models or simple variants thereof, while complex multi-stable systems are rarely addressed. The major contribution of this chapter is to provide a unitary framework for studying constructive effects of arbitrary colored noise in complex hysteretic systems and its implementation in HysterSoft©. Several examples are discussed following the line of the recent articles published by our group.

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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

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  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). Constructive Effects of Noise 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_6

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  • DOI: https://doi.org/10.1007/978-1-4614-1374-5_6

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-1373-8

  • Online ISBN: 978-1-4614-1374-5

  • eBook Packages: EngineeringEngineering (R0)

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