Differential Eqauations and Bifurcation Analysis of Dynamical Systems
| dc.contributor.advisor | Mitiku, Semu (PhD) | |
| dc.contributor.author | Agena, Abera | |
| dc.date.accessioned | 2020-12-08T11:06:59Z | |
| dc.date.accessioned | 2023-11-04T12:30:57Z | |
| dc.date.available | 2020-12-08T11:06:59Z | |
| dc.date.available | 2023-11-04T12:30:57Z | |
| dc.date.issued | 2014-02-12 | |
| dc.description.abstract | Systems of differential equations occur in various practical problems and their theory includes that of the single equation. Many important physical problems arising in engineering and applied science are modeled directly or indirectly by ordinary differential equation which is actually nonlinear. We must face the fact that it is usually difficult to find the solution of a given nonlinear differential equation. Therefore it is important to consider what is nonlinear and what qualitative information can be obtained about the solution of the differential equation. The representation of real world is mathematical terms so as to gain more precise understanding of its significant properties and which may allow some form of prediction of future events in one branch of mathematics we call it mathematical modeling. So a model is a mathematical description of the economy and it is because the world is too complex to describe it in every detail. The general ideas of stability are fundamental for perception of the universe hence in each chapter we deal with the stability of a model in a dynamical system. In this seminar report the bifurcation analysis of dynamical system on differential equation is studied briefly. In the first chapter the general introduction, description of the problem and back ground knowledge are mentioned. If we have expressed basic concepts and definitions we can proceed to the next chapter without any difficulty. The second chapter bifurcation analysis of dynamical system in a continuous function is the core idea of the report. And in the last chapter, growth model with exogenous rates, we consider technology as a parameter in the production function. | en_US |
| dc.identifier.uri | http://etd.aau.edu.et/handle/123456789/23901 | |
| dc.language.iso | en | en_US |
| dc.publisher | Addis Ababa University | en_US |
| dc.subject | Differential Eqauations | en_US |
| dc.subject | Bifurcation Analysis | en_US |
| dc.subject | Dynamical Systems | en_US |
| dc.title | Differential Eqauations and Bifurcation Analysis of Dynamical Systems | en_US |
| dc.type | Thesis | en_US |