On the Possibility of Chaos in a Generalized Model of Three Interacting Sectors

In this study we extend a model, proposed by Dendrinos, which describes dynamics of change of influence in a social system containing a public sector and a private sector. The novelty is that we reconfigure the system and consider a system consisting of a public sector, a private sector, and a non-g...

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Bibliographic Details
Published in:Entropy (Basel, Switzerland) Switzerland), 2020-12, Vol.22 (12), p.1388
Main Authors: Nikolova, Elena V, Vitanov, Nikolay K
Format: Article
Language:English
Subjects:
Accounting
chaotic attractor
Decision making
Influence
interacting social sectors
Mathematical models
NGOs
Nongovernmental organizations
numerical simulations
Ordinary differential equations
Private sector
Public sector
Shilnikov chaos
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Summary:In this study we extend a model, proposed by Dendrinos, which describes dynamics of change of influence in a social system containing a public sector and a private sector. The novelty is that we reconfigure the system and consider a system consisting of a public sector, a private sector, and a non-governmental organizations (NGO) sector. The additional sector changes the model's system of equations with an additional equation, and additional interactions must be taken into account. We show that for selected values of the parameters of the model's system of equations, chaos of Shilnikov kind can exist. We illustrate the arising of the corresponding chaotic attractor and discuss the obtained results from the point of view of interaction between the three sectors.
ISSN:1099-4300
1099-4300
DOI:10.3390/e22121388