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It is shown that transition at the Curie point and uniaxial crystalline anisotropy exhibit catastrophes which have the same morphology as well-known elementary catastrophes like the cusp and the swallowtail. It is possible to understand micromagnetics as conflict between attractors of dynamical systems. Catastrophe theory allows great geometrical insight into the mathematical background of micromagnetics. It appears as a geometrical study of metastability that can have general significance.
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Marc A. Pinto (1987) studied this question.
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