  We present numerical evidence to show that the wavefunctions of smooth
classically chaotic Hamiltonian systems scarred by certain simple periodic
orbits are exponentially localized in the space of unperturbed basis states.
The degree of localization, as measured by the information entropy, is shown to
be correlated with the local phase space structure around the scarring orbit;
indicating sharp localization when the orbit undergoes a pitchfork bifurcation
and loses stability.
