Levy flights in inhomogeneous environments and 1/f noise

Complex dynamical systems which are governed by anomalous diffusion often can be described by Langevin equations driven by Levy 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 Levy 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 Levy stable noise. (C) 2014 Elsevier B.V. All rights reserved.