On a low-dimensional model for ferromagnetism

R. V. Iyer, P. S. Krishnaprasad

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

In this paper, we present a low-dimensional, energy-based model for ferromagnetic hysteresis. It is based on the postulates of Jiles and Atherton for modeling hysteresis losses. As a state space model, the system is a set of two state equations, with the time-derivative of the average applied magnetic field H as the input, and the average magnetic field H and the average magnetization M as state variables. We show analytically that for a class of time-periodic inputs and initial condition at the origin, the solution trajectory converges to a periodic orbit. This models an observed experimental phenomenon.

Original languageEnglish
Pages (from-to)1447-1482
Number of pages36
JournalNonlinear Analysis, Theory, Methods and Applications
Volume61
Issue number8
DOIs
StatePublished - Jun 30 2005

Keywords

  • Ferromagnetism
  • Hysteresis
  • Low dimensional model
  • Periodic orbit

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