  The spectral properties of the Frobenius-Perron operator of one-dimensional
maps are studied when approaching a weakly intermittent situation. Numerical
investigation of a particular family of maps shows that the spectrum becomes
extremely dense and the eigenfunctions become concentrated in the vicinity of
the intermittent fixed point. Analytical considerations generalize the results
to a broader class of maps near and at weak intermittency and show that one
branch of the map is dominant in determination of the spectrum. Explicit
approximate expressions are derived for both the eigenvalues and the
eigenfunctions and are compared with the numerical results.

Chaotic Dynamics;Chaotic Dynamics