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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 extend concepts in a dynamical systems course. A number of examples exhibi
Externí odkaz:
http://arxiv.org/abs/2001.04501
Autor:
Chow, Amenda
The Landau--Lifshitz equation describes the behaviour of magnetic domains in ferromagnetic structures. Recently such structures have been found to be favourable for storing digital data. Stability of magnetic domains is important for this. Consequent
Externí odkaz:
http://arxiv.org/abs/1708.07545
Publikováno v:
Teaching Mathematics & its Applications; Jun2024, Vol. 43 Issue 2, p147-155, 9p
Akademický článek
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Autor:
Chow, Amenda, Morris, Kirsten A.
The Landau-Lifshitz equation is a coupled set of nonlinear partial differential equations that describes the dynamics of magnetization in a ferromagnet. This equation has an infinite number of stable equilibria. Steering the system from one equilibri
Externí odkaz:
http://arxiv.org/abs/1605.08848
Autor:
Chow, Amenda, Morris, Kirsten A.
The Landau--Lifshitz equation describes the dynamics of magnetization inside a ferromagnet. This equation is nonlinear and has an infinite number of stable equilibria. It is desirable to control the system from one equilibrium to another. A control t
Externí odkaz:
http://arxiv.org/abs/1509.05834
Lyapunov's indirect method is an attractive method for analyzing stability of non-linear systems since only the stability of the corresponding linearized system needs to be determined. Unfortunately, the proof for finite-dimensional systems does not
Externí odkaz:
http://arxiv.org/abs/1509.05792
Autor:
Chow, Amenda, Morris, Kirsten A.
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 equilibrium points. The existence of multiple stable equilibria is clo
Externí odkaz:
http://arxiv.org/abs/1509.05712
Autor:
CHOW, AMENDA N.
Publikováno v:
For the Learning of Mathematics; Mar2023, Vol. 43 Issue 1, p36-39, 4p
Autor:
Chow, Amenda, Morris, Kirsten A.
Publikováno v:
In Automatica May 2016 67:200-204