© 2020. Ferenc Juhász. This is a research/review paper, distributed under the terms of the Creative Commons Attribution-
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Global Journal of Computer Science and Technology: G
Interdisciplinary
Volume 20 Issue 4 Version 1.0 Year 2020
Type: Double Blind Peer Reviewed International Research Journal
Publisher: Global Journals
Online ISSN: 0975-4172 & Print ISSN: 0975-4350
Sustainable Development in Block Random Systems
By Ferenc Juhász
Budapest University of Technology and Economics
Abstract- In paper [1], stability of a block random model was studied as a possible model for economic
systems. Crisis means significant and quick change in the number of participants of a system. It was
proved that a smaller system is more stable than a larger one with the same parameters. Further, the
number of participants can significantly alter without any outer interactions resulting in crisis.
In paper [2], stability properties of a block random model with fixed number of participants was
investigated. It was studied, that how two parameters of the model, density matrix and dispersion
influence behavior of the system. It was shown that proportionally smaller in absolute value density matrix
results in a shorter cycle time. Also larger dispersion makes the cycle time shorter. It was suggested that a
longer cycle time makes it possible the participants to adapt themselves to circumstances and thus to
avoid crises. In this case repeated recessions and growths appear which can be called structural cycles.
In the present paper we investigate connection between real parameters of economy and
parameters of the block random model. We point out that base rate bounded by an appropriate level is
useful for working the system without any crisis. As a result of these studies, it has become clear that
sustainable development can be defined in terms of avoiding crisis rather than achieving growth.
Keywords: random matrices, eigenvalues, lyapunov stability, economics, ecology.
GJCST-G Classification:
SustainableDevelopmentinBlockRandomSystems
Strictly as per the compliance and regulations of:
F.1.1