A simple model described by an autonomous continuous delayed differential equation with one variable, proposed by Uc ßar, is considered in this paper. We will show that Hopf bifurcations occur in this simple system. The stability of bifurcating periodic solutions and the direction of Hopf bifurcatio
Hopf bifurcation in multiparty political systems with time delay in switching
✍ Scribed by Q.J.A. Khan
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 523 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
A model of a political system with three political parties and a group of nonaffiliated voters is considered. The model consists of four coupled ordinary differential equations in which members of the third party change allegiance and after a time delay become an active member of one of the other parties. Equilibrium and stability analysis are carried out. Taking the time delay as a bifurcation parameter, it is shown that a Hopf bifurcation can occur.
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