Ferromagnetic elastic rods show a supercritical Hamiltonian Hopf pitchfork bifurcation for elastic and hard-magnetic cases but only for 0 < K_dM < 1/8 in soft-magnetic rods, with soft-rod localized buckles displaying non-collinear straight segments due to magnetoelastic coupling.
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Spatial deformation of a ferromagnetic elastic rod
Ferromagnetic elastic rods show a supercritical Hamiltonian Hopf pitchfork bifurcation for elastic and hard-magnetic cases but only for 0 < K_dM < 1/8 in soft-magnetic rods, with soft-rod localized buckles displaying non-collinear straight segments due to magnetoelastic coupling.