On the Possibility of Chaos in a Generalized Model of Three Interacting Sectors
Open Access
- 7 December 2020
- Vol. 22 (12), 1388
- https://doi.org/10.3390/e22121388
Abstract
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.Keywords
This publication has 16 references indexed in Scilit:
- Effects of competition and cooperation interaction between agents on networks in the presence of a market capacityPhysical Review E, 2016
- Verhulst–Lotka–Volterra (VLV) model of ideological strugglePhysica A: Statistical Mechanics and its Applications, 2010
- A consensus-based dynamics for market volumesPhysica A: Statistical Mechanics and its Applications, 2004
- Chaotic pairwise competitionTheoretical Population Biology, 2004
- Langevin processes, agent models and socio-economic systemsPhysica A: Statistical Mechanics and its Applications, 2004
- Activity autocorrelation in financial marketsZeitschrift für Physik B Condensed Matter, 2004
- Adaptation and its impact on the dynamics of a system of three competing populationsPhysica A: Statistical Mechanics and its Applications, 2001
- Dynamical consequences of adaptation of the growth rates in a system of three competing populationsJournal of Physics A: General Physics, 2001
- Influence of adaptation on the nonlinear dynamics of a system of competing populationsPhysics Letters A, 2000
- Contribution to the Theory of Periodic ReactionsThe Journal of Physical Chemistry, 1910