Assessment of Complex System Dynamics via Harmonic Mapping in a Multifractal Paradigm

Author:

Gavriluț Gabriel,Topliceanu Liliana,Gîrțu Manuela,Rotundu Ana MariaORCID,Irimiciuc Stefan AndreiORCID,Agop Maricel

Abstract

In the present paper, nonlinear behaviors of complex system dynamics from a multifractal perspective of motion are analyzed. In the framework of scale relativity theory, by analyzing the dynamics of complex system entities based on continuous but non-differentiable curves (multifractal curves), both the Schrödinger and Madelung scenarios on the holographic implementations of dynamics are functional and complementary. In the Madelung scenario, the holographic implementation of dynamics (i.e., free of any external or internal constraints) has some important consequences explicated by means of various operational procedures. The selected procedures involve synchronous modes through SL (2R) transformation group based on a hidden symmetry, coherence domains through Riemann manifold embedded with a Poincaré metric based on a parallel transport of direction (in a Levi Civita sense). Other procedures used here relate to the stationary-non-stationary dynamics transition through harmonic mapping from the usual space to the hyperbolic one manifested as cellular and channel type self-structuring. Finally, the Madelung scenario on the holographic implementations of dynamics are discussed with respect to laser-produced plasma dynamics.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference32 articles.

1. Similarity solution analysis of dynamic and thermal boundary layers: further formulation along a vertical flat plate

2. Analysis of MHD Jeffery Hamel Flow with Suction/Injection by Homotopy Analysis Method;Hamrelaine;J. Adv. Res. Fluid Mech. Ther. Sci.,2020

3. Heat transfer study of convective fin with temperature-dependent internal heat generation by hybrid block method

4. “Holographic Implementations” in the Complex Fluid Dynamics through a Fractal Paradigm

5. Scale Relativity and Fractal Space-Time: A New Approach to Unifying Relativity and Quantum Mechanics;Nottale,2011

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