Multifractal Turbulence in the Heliosphere

The aim of the chapter is to give an introduction to the new developments in turbulence using nonlinear dynamics and multifractals. To quantify scaling of turbulence we use a generalized two-scale weighted Cantor set (Macek & Szczepaniak, 2008). We apply this model to intermittent turbulence in the solar wind plasma in the inner and the outer heliosphere at the ecliptic and at high heliospheric latitudes, and even in the heliosheath, beyond the termination shock. We hope that the generalized multifractal model will be a useful tool for analysis of intermittent turbulence in the heliospheric plasma. We thus believe that multifractal analysis of various complex environments can shed light on the nature of turbulence.