  A one-dimensional chain of elongated anisotropic magnetic islands on a
nonmagnetic substrate with dipolar interactions and an applied magnetic field
transverse to the chain is considered. With the long axes of the islands
perpendicular to the chain, the system allows for three uniform metastable
states: (1) tilted dipoles with magnetization at an oblique angle to the chain,
(2) transverse dipoles with magnetization perpendicular to the chain, and (3)
alternating transverse dipoles with no net magnetization. The uniform magnetic
field controls their stabilities and is analyzed for its ability to cause
transitions among the states. The energy and frequency eigenvalues are
determined for small-amplitude traveling wave deviations of the dipoles. The
results are summarized in a phase diagram in the field/anisotropy plane, that
highlights the multistable properties of this type of system.
