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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| Format: | Article |
| Language: | English |
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MDPI AG
2020-12-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/22/12/1388 |
| _version_ | 1827700573637443584 |
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| author | Elena V. Nikolova Nikolay K. Vitanov |
| author_facet | Elena V. Nikolova Nikolay K. Vitanov |
| author_sort | Elena V. Nikolova |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T14:15:00Z |
| format | Article |
| id | doaj.art-cbb923ce64a1414fb32a35cc49f808d5 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T14:15:00Z |
| publishDate | 2020-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-cbb923ce64a1414fb32a35cc49f808d52023-11-20T23:52:12ZengMDPI AGEntropy1099-43002020-12-012212138810.3390/e22121388On the Possibility of Chaos in a Generalized Model of Three Interacting SectorsElena V. Nikolova0Nikolay K. Vitanov1Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., bl. 4, 1113 Sofia, BulgariaInstitute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., bl. 4, 1113 Sofia, BulgariaIn 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.https://www.mdpi.com/1099-4300/22/12/1388interacting social sectorsnongovernmental organizationschaotic attractorShilnikov chaosnumerical simulations |
| spellingShingle | Elena V. Nikolova Nikolay K. Vitanov On the Possibility of Chaos in a Generalized Model of Three Interacting Sectors Entropy interacting social sectors nongovernmental organizations chaotic attractor Shilnikov chaos numerical simulations |
| title | On the Possibility of Chaos in a Generalized Model of Three Interacting Sectors |
| title_full | On the Possibility of Chaos in a Generalized Model of Three Interacting Sectors |
| title_fullStr | On the Possibility of Chaos in a Generalized Model of Three Interacting Sectors |
| title_full_unstemmed | On the Possibility of Chaos in a Generalized Model of Three Interacting Sectors |
| title_short | On the Possibility of Chaos in a Generalized Model of Three Interacting Sectors |
| title_sort | on the possibility of chaos in a generalized model of three interacting sectors |
| topic | interacting social sectors nongovernmental organizations chaotic attractor Shilnikov chaos numerical simulations |
| url | https://www.mdpi.com/1099-4300/22/12/1388 |
| work_keys_str_mv | AT elenavnikolova onthepossibilityofchaosinageneralizedmodelofthreeinteractingsectors AT nikolaykvitanov onthepossibilityofchaosinageneralizedmodelofthreeinteractingsectors |