A rate-dependent probabilistic model of hysteresis

Cross, Rod and Grinfeld, Michael and Lamba, Harbir (2024) A rate-dependent probabilistic model of hysteresis. Mathematics, 12 (24). 3924. ISSN 2227-7390 (https://doi.org/10.3390/math12243924)

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Abstract

Instead of modelling an economic agent by a hysteron, we suggest a fluid–mechanical notion of rate-dependent hysteretic agents based on the theory of Poisson counters. It leads to a simple representation of assemblies of such agents. We discuss the properties of the new version of hysteresis and its advantages over classical models of hysteresis in economics.

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• Item metadata

  Item type:	Article
  ID code:	91580
  Dates:	Date Event 13 December 2024 Published 11 December 2024 Accepted 31 October 2024 Submitted
  Subjects:	Science > Mathematics Social Sciences > Economic Theory > Methodology > Mathematical economics. Quantitative methods
  Department:	Strathclyde Business School > Economics Strategic Research Themes > Measurement Science and Enabling Technologies Strategic Research Themes > Advanced Manufacturing and Materials Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	13 Dec 2024 16:40
  Last modified:	13 Dec 2024 16:40
  URI:	https://strathprints.strath.ac.uk/id/eprint/91580