Complex System Dynamics Through A Fractal Paradigm

Assimilating the complex with a fractal, non - differentiable behaviors in their dynamics are analyzed through a fractal paradigm. It results that complex system dynamics in the framework of hydrodynamic - type fractal regimes imply "holographic implementation" of the velocity fields at non - differentiable scale resolution, by means of fractal solitons, fractal solitons - fractal kinks and fractal minimal vortices. These vortices become turbulence sources in complex systems dynamics at non - differentiable scale resolutions.