Center Manifold Analysis of Hopf Bifurcation for Delayed Lienard Equation
| dc.contributor.advisor | Abdi Tadesse (PhD) | |
| dc.contributor.author | Amsalu Hafte | |
| dc.date.accessioned | 2020-12-10T06:04:51Z | |
| dc.date.accessioned | 2023-11-04T12:31:01Z | |
| dc.date.available | 2020-12-10T06:04:51Z | |
| dc.date.available | 2023-11-04T12:31:01Z | |
| dc.date.issued | 2011-01-01 | |
| dc.description.abstract | Lie nard equation serves as the elegant models for oscillating circuits. This paper addresses the stability property of a class of delayed lie nard equations. This project uses operator differential equation formulation to reduce the infinite dimensional delayed lie nard equation onto a two dimensional manifold on the critical bifurcation. Based on the reduced two dimensional systems, the so called Poincare-Lyapunov constant is analytically determined, which determines the criticality of the Hopf-bifurcation. | en_US |
| dc.identifier.uri | http://etd.aau.edu.et/handle/123456789/23926 | |
| dc.language.iso | en | en_US |
| dc.publisher | Addis Ababa University | en_US |
| dc.subject | Center Manifold Analysis | en_US |
| dc.subject | Hopf Bifurcation | en_US |
| dc.subject | Delayed Lienard | en_US |
| dc.subject | Equation | en_US |
| dc.title | Center Manifold Analysis of Hopf Bifurcation for Delayed Lienard Equation | en_US |
| dc.type | Thesis | en_US |