  The experimental properties of intrinsic localized modes (ILM) have long been
compared with theoretical dynamical lattice models that make use of nonlinear
onsite and/or nearest neighbor intersite potentials. Here it is shown for a 1-D
lumped electrical transmission line a nonlinear inductive component in an
otherwise linear parallel capacitor lattice makes possible a new kind of ILM
outside the plane wave spectrum. To simplify the analysis the nonlinear
inductive current equations are transformed to flux transmission line equations
with analogue onsite hard potential nonlinearities. Approximate analytic
results compare favorably with those obtained from a driven damped lattice
model and with eigenvalue simulations. For this mono-element lattice ILMs above
the top of the plane wave spectrum are the result. We find that the current ILM
is spatially compressed relative to the corresponding flux ILM. Finally this
study makes the connection between the dynamics of mass and force constant
defects in the harmonic lattice and ILMs in a strongly anharmonic lattice.
