Abstract
Hyperbolic neutral points of plane magnetic fields are the main feature in simple models of magnetic reconnection. There is some discussion on the stability of the magnetic geometry as depending on the boundary conditions. We consider a classical family of self-similar solutions to the magnetohydrodynamic equations in a bounded neighborhood of the neutral point and connect them with well behaved solutions at infinity. It is found that even in the case when there is no blow up to the whole configuration, the magnetic topology is generically unstable.
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