NON-LINEAR
BEHAVIORS IN THE DYNAMICS OF COMPLEX SYSTEMS WITH POTENTIAL ECONOMY
APPLICATION. QUALITATIVE ANALYSIS FROM MULTI-FRACTAL PERSPECTIVE
Dumitru FILIPEANU[1], Claudiu-Gabriel ȚIGĂNAȘ[2],
Claudia-Elena GRIGORAȘ-ICHIM[3], Răzvan-Vasile ABABEI[4],
Maricel AGOP[5],[6]*
Abstract:
In a Schr dinger-type
and Madelung-type scenarios for the description of complex economics system
dynamics, SL(2R) symmetries are highlighted.
The emergence of such symmetries has several consequences: the existence of analogic-type behavior as a
gauge invariance of Riccati type as well as the
existence of digital-type behavior through the spontaneous symmetry breaking of
the same gauge invariance.
When
said symmetries are discussed in the context of economics dynamics, the
individual reaction to market signals can be associated to period doubling and
modulated dynamics (i.e. to the digital signals) while, the behaviors of large
investors and of the State, through banking or monetary policies, can
associated to the complex economics system background (i.e. analogical
signals).
Moreover,
the markets have a fractal/multi-fractal structure on the long term, being
characterized by a self-memory . The economic structures emphasize
fluctuations but, they never reach the chaos state. Thus, a holographic
approach on complex economics system dynamics (and, on economics complex
economics systems) provides a valid and more natural perspective, compared to
the standard approaches. Our research provides a qualitative insight of
economics complex system dynamics, remaining a more rigorous study which
reveals a quantitative analysis of financial fractal bubbles to be done in
further research.
Keywords: Scale Relativity Theory, multifractal, Schr dinger type scenario, Madelung
type scenario, Riccati type gauge
DOI https://doi.org/10.56082/annalsarsciphyschem.2023.1.7
[1] Faculty of Civil
Engineering and Building Services,
Gheorghe Asachi Technical University, Iasi, Romania
[2] Faculty of Economics and
Business Administration, Alexandru Ioan Cuza University, Iasi, Romania
[3] Department of Accounting Audit and Financing, Stefan Cel Mare
University, Suceava, Romania
[4] Alexandru Ioan Cuza University, Research Center
with Integrated Techniques for Atmospheric Aerosol Investigation in Romania,
RECENT Air , Laboratory of astronomy and astrophysics, Astronomy Observatory,
5-7 Mihail Sadoveanu, 700490 Iasi, Romania
[5] Department of Physics, Gheorghe Asachi
Technical University of Iasi, Romania
[6] Academy of Romanian Scientists, Bucharest, Romania