TY - JOUR
T1 - On a low-dimensional model for ferromagnetism
AU - Iyer, R. V.
AU - Krishnaprasad, P. S.
N1 - Funding Information:
This research was supported in part by a grant from the National Science Foundation's Engineering Research Centers Program: NSFD CDR 8803012 and by the Army Research Office under the ODDR&E MURI97 Program Grant No. DAAG55-97-1-0114 to the Center for Dynamics and Control of Smart Structures (through Harvard University).
PY - 2005/6/30
Y1 - 2005/6/30
N2 - 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.
AB - 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.
KW - Ferromagnetism
KW - Hysteresis
KW - Low dimensional model
KW - Periodic orbit
UR - http://www.scopus.com/inward/record.url?scp=18444367402&partnerID=8YFLogxK
U2 - 10.1016/j.na.2005.01.109
DO - 10.1016/j.na.2005.01.109
M3 - Article
AN - SCOPUS:18444367402
SN - 0362-546X
VL - 61
SP - 1447
EP - 1482
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 8
ER -