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Published online by Cambridge University Press: 18 July 2016
The possibility that a simply connected perfectly conducting fluid body could generate an increasing external magnetic field by acting as a self-excited dynamo is demonstrated by exhibiting a cycle of motions that doubles the external field each cycle. The essential feature of the motion is that interior points become surface points. This requires points which were originally adjacent to become widely separated. The possibility of such motions is demonstrated and some of the conditions that might lead to their development are considered.