2002 · 24 citations · 6 references
Natural SciencesMathematicsDynamical SystemsElectromagnetismSystems ModelingFerromagnetic MaterialsFerromagnetismMagnetization ProcessesPeriodic OrbitsHysteresisHysteresis BehaviorHysteresis LossesHysteresis ModelingMagnetic HysteresisMagnetic Hysteresis AnalysisMagnetic Hysteresis ModelingPeriodic Orbit Theory
We present a set of equations for a bulk ferromagnetic hysteresis model. We establish the connection between this set of equations and classical energy loss expressions for ferromagnetic hysteresis. We show analytically that for periodic inputs the system of equations has a limit set that is a periodic orbit in the H-M plane, under certain constraints on the parameters.
6
Ordinary Differential Equations.
Ray Redheffer, Jack K. Hale · American Mathematical Monthly · 1971 · 2.2K citations
Theory of ferromagnetic hysteresis
David Jiles, D.L. Atherton · Journal of Magnetism and Magnetic Materials · 1986 · 2.2K citations
David Jiles, D.L. Atherton · IEEE Transactions on Magnetics · 1983 · 416 citations
Natural Sciences, Materials Science, Computational Materials Science +14
Magnetic Induction in Iron and other Metals
Elkin Calhoun Wilson · Nature · 1893 · 91 citations
Paul B. Dorain · Journal of Chemical Education · 1969 · 40 citations