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

Entropy

NikolayK. Vitanov¹  ElenaV. Nikolova¹ 

[1] Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., bl. 4, 1113 Sofia, Bulgaria;

关键词: interacting social sectors;    nongovernmental organizations;    chaotic attractor;    Shilnikov chaos;    numerical simulations;   

DOI  :  10.3390/e22121388

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown