On a low-dimensional model for ferromagnetism

被引：20

作者：

Iyer, RV ^{[1
]}

Krishnaprasad, PS

机构：

[1] Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA

[2] Univ Maryland, Dept Elect & Comp Engn, College Pk, MD 20742 USA

[3] Univ Maryland, Syst Res Inst, College Pk, MD 20742 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 61卷 / 08期

基金：

美国国家科学基金会;

关键词：

hysteresis; ferromagnetism; low dimensional model; periodic orbit;

D O I：

10.1016/j.na.2005.01.109

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1447 / 1482

页数：36

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