ABSTRACT
In this paper we consider a nonlinearly elastic conducting wire in a magnetic field. The wire is perfectly flexible and is suspended between fixed supports. The wire carries an electric current and is subjected to a constant magnetic field whose direction is parallel to the line between the supports. We ask whether it is possible that the wire can rotate with constant angular velocity about the line between the supports. We treat this problem as one in bifurcation theory. We use a modification of a theorem of McLeod and Turner to prove the existence of rotating states.
