Using phase portraits from the kinetic analogy, the authors identify subcritical and supercritical pitchfork bifurcations plus novel localized solutions in ferromagnetic rods under magnetic fields, absent in elastic rods.
The elastica and the problem of the pure bending for a non-convex stored energy function
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Kirchhoff's analogy for a planar ferromagnetic rod
Using phase portraits from the kinetic analogy, the authors identify subcritical and supercritical pitchfork bifurcations plus novel localized solutions in ferromagnetic rods under magnetic fields, absent in elastic rods.