<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Assimilating any complex economic system with a fractal, in the most general Mandelbrot’s sense, non – differentiable behaviors in its economic dynamics are analyzed. As such, economic dynamics in the form of Schrödinger – type various regimes imply “holographic implementations” of the economic processes through group invariance of SL(2R) – type. Then, by means of previous group invariance as synchronization group between any economic system entities, both the phases and the amplitudes of the entities are affected from a homographic perspective. The usual “synchronization” manifested through the delay of the amplitudes and phases of the entities of the economic system must represent here only a fully particular case. In a special case of synchronization of economic system entities, given by Riccati type gauge, period doubling, damping oscillations, self – modulation and chaotic regimes emerge as natural behaviors in the economic dynamics of the economic processes.</p>
</abstract>

Assimilating any complex economic system with a fractal, in the most general Mandelbrot’s sense, non – differentiable behaviors in its economic dynamics are analyzed. As such, economic dynamics in the form of Schrödinger – type various regimes imply “holographic implementations” of the economic processes through group invariance of SL(2R) – type. Then, by means of previous group invariance as synchronization group between any economic system entities, both the phases and the amplitudes of the entities are affected from a homographic perspective. The usual “synchronization” manifested through the delay of the amplitudes and phases of the entities of the economic system must represent here only a fully particular case. In a special case of synchronization of economic system entities, given by Riccati type gauge, period doubling, damping oscillations, self – modulation and chaotic regimes emerge as natural behaviors in the economic dynamics of the economic processes.

On the Holographic Type Dynamics in Complexity Economics

“Gheorghe Asachi” Technical University of Iaşi

“Alexandru Ioan Cuza” University of Iaşi

BULETINUL INSTITUTULUI POLITEHNIC DIN IAȘI. Secția Matematica. Mecanică Teoretică. Fizică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"On the Holographic Type Dynamics in Complexity Economics"}

Assimilating any complex economic system with a fractal, in the most general Mandelbrot’s sense, non – differentiable behaviors in its economic dynamics are...

On the Holographic Type Dynamics in Complexity Economics

Publicado en línea: 03 mar 2022

Páginas: 69 - 81

Recibido: 07 may 2021

Aceptado: 14 jun 2021

DOI: https://doi.org/10.2478/bipmf-2021-0011

Palabras clave
fractal theory of motion, group invariances of SL(2R) – type, complexity economics, complex system

© 2021 Ștefana Agop et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On the Holographic Type Dynamics in Complexity Economics

Publicado en línea: 03 mar 2022

Páginas: 69 - 81

Recibido: 07 may 2021

Aceptado: 14 jun 2021

DOI: https://doi.org/10.2478/bipmf-2021-0011

Palabras clavefractal theory of motion, group invariances of SL(2R) – type, complexity economics, complex system

© 2021 Ștefana Agop et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Palabras clave
fractal theory of motion, group invariances of SL(2R) – type, complexity economics, complex system