On chaos, fractals and turbulence

This is the authors' abstract. We don't add key points for this paper.

Based on a recently proposed generic model for fractal basin boundaries we show the interrelation between chaotic dynamics and the form of fractal basin boundaries. For the case of transient chaos, intermittent fractality is shown. The explicit expression of the basin boundary is discussed on the background of typical turbulent phenomena, like log normal probability density distributions or multifractal scaling exponents. The precision of the evaluation of multifractal exponents is discussed on the background of finite statistical resolution.