Towards a Holographic-Type Perspective in the Analysis of Complex-System Dynamics-Reference-Cited by-同舟云学术

Towards a Holographic-Type Perspective in the Analysis of Complex-System Dynamics

Published:2023-03-08 Issue:3 Volume:15 Page:681
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Agop Ștefana¹,Filipeanu Dumitru²,Țigănaș Claudiu-Gabriel³,Grigoraș-Ichim Claudia-Elena⁴,Moroșan-Dănilă Lucia⁴^ORCID,Gavriluț Alina⁵,Agop Maricel⁶⁷,Ștefan Gavril¹

Affiliation:

1. Department of Agroeconomy, University of Life Sciences, 700490 Iasi, Romania

2. Faculty of Civil Engineering and Buildings Services, Gheorghe Asachi Technical University, 700050 Iasi, Romania

3. Faculty of Economics and Business Administration, Alexandru Ioan Cuza University of Iasi, 700505 Iasi, Romania

4. Department of Accounting Audit and Financing, Stefan cel Mare University, 720229 Suceava, Romania

5. Department of Mathematics, “Al. I. Cuza” University of Iasi, 700506 Iasi, Romania

6. Department of Physics, “Gh. Asachi” Technical University of Iasi, 700050 Iasi, Romania

7. Romanian Scientists Academy, 54 Splaiul Independentei, 050094 Bucharest, Romania

Abstract

By operating with the Scale Relativity Theory by means of two scenarios (Schrӧdinger and Madelung-type scenarios) in the dynamics of complex systems, we can achieve a description of these complex systems through a holographic-type perspective. Then, a gauge invariance of the Riccati type becomes functional in complex-system dynamics, which implies several consequences: conservation laws (in particular, for dynamics, the kinetic momentum conservation law), simultaneity and synchronization among the structural units’ (belonging to a complex system) dynamics, and temporal patterns through harmonic mappings. Finally, an economic case analysis is highlighted.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/3/681/pdf

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4. Cristescu, C.P. (2008). Nonlinear Dynamics and Chaos. Theoretical Fundaments and Applications, Romanian Academy Publishing House.

5. Bar-Yam, Y. (1997). Dynamics of Complex Systems, The Advanced Book Program; Addison-Wesley.