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math.DS2020
Hysteresis and Stabillity
Amenda Chow, Kristen A. Morris, Gina Faraj Rabbah
Hysteresis can be defined from a dynamical systems perspective with respect to equilibrium points. Consequently, hysteresis naturally lends itself as a topic to illustrate and exte…
math.DS2015
Hysteresis in the Linearized Landau-Lifshitz Equation
Amenda Chow, Kirsten A. Morris
The Landau-Lifshitz equation describes the behaviour of magnetization inside a ferromagnetic object. It is known that the Landau-Lifshitz equation has an infinite number of stable…