COMPLEX SYSTEM DYNAMICS THROUGH A FRACTAL PARADIGM

Dorin Vaideanu,Maria-Alexandra Paun,Maricel Agop,Vladimir-Alexandru Paun,Tudor-Cristian Petrescu,Constantin Placinta,Decebal Vasincu

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS（2020）

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摘要

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.

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关键词

complex systems,non - differentiability,fractal hydrodynamic regimes,fractal paradigm

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