Abstract
An application of catastrophe theory to the behavior of ferromagnets in the partially magnetized state is presented. Magnetic phase transitions induced by crystal anisotropy are studied with the help of a swallowtail manifold. The morphology of the Brown equations of micromagnetics is discussed and a general method of solution outlined. The magnetization paths of powder magnets are discussed with the help of geometrical diagrams that extend those presented first by Preisach in 1935.

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