@inbook{d4fc3cb4253849a2bcb57cc63ce400da,
title = "Cascading effects in the moving Preisach model",
abstract = "We consider jumps in the input-output relationship of a system composed of a Preisach hysteretic transducer and a mean-field type global positive feedback loop. The discontinuities are induced by the feedback loop, which promotes avalanches of cascading flips of the independent domains (spins) in the Preisach model in response to a monotone variation of the input after a moment τ0. We discuss the locations of the avalanches and formulate an Equal Area Rule, which defines their size. Under the assumption that the history of the system prior to the moment τ0 has been formed by a stochastic input process, the state of the system at the moment τ0 and hence the location and size of the avalanches after this moment become random variables. We present several examples of their distribution.",
author = "Dmitrii Rachinskii and Andreas Amann and Martin Brokate and McCarthy, \{Stephen P.\}",
year = "2013",
doi = "10.1109/acc.2013.6580387",
language = "English",
isbn = "9781479901777",
series = "Proceedings of the American Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "3591--3598",
booktitle = "2013 American Control Conference, ACC 2013",
address = "United States",
note = "2013 1st American Control Conference, ACC 2013 ; Conference date: 17-06-2013 Through 19-06-2013",
}