  Complex dynamical systems which are governed by anomalous diffusion often can
be described by Langevin equations driven by L\'evy stable noise. In this
article we generalize nonlinear stochastic differential equations driven by
Gaussian noise and generating signals with 1/f power spectral density by
replacing the Gaussian noise with a more general L\'evy stable noise. The
equations with the Gaussian noise arise as a special case when the index of
stability alpha=2. We expect that this generalization may be useful for
describing 1/f fluctuations in the systems subjected to L\'evy stable noise.
