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The Preisach model with stochastic input as a model for aftereffect

Journal Article · · Journal of Applied Physics; (United States)
DOI:https://doi.org/10.1063/1.355712· OSTI ID:7206628
 [1];  [2]
  1. Department of Electrical Engineering and Institute for Advanced Computer Studies, University of Maryland, College Park, Maryland 20742 (United States)
  2. Department of Electrical Engineering and Computer Science, The George Washington University, Washington, DC 20052 (United States)

In previous papers, we have suggested to use the Preisach model driven by stochastic inputs as a model for aftereffect. However, in these papers the stochastic inputs have been modeled by discrete time I.I.D. (independent identically distributed) random processes. Here, we further extend the aforementioned approach by modeling the stochastic inputs by continuous time diffusion processes. It is shown that the mathematical machinery of the exit problem'' is instrumental for calculations of time evolutions of the expected value of the output of the Preisach model.

OSTI ID:
7206628
Journal Information:
Journal of Applied Physics; (United States), Journal Name: Journal of Applied Physics; (United States) Vol. 75:10; ISSN JAPIAU; ISSN 0021-8979
Country of Publication:
United States
Language:
English

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