Hopf bifurcation analysis of a delayed differential equation
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Abstract (EN)
In this thesis study, taking delay parameter as a bifurcation parameter, Hopf bifurcation analysis of a general delayed differential equation that has a crucial role for dynamical systems is aimed. To do this, theory in [26], which gives an alternative method to E. Hopf, is applied. In addition to this analysis, the direction, stability and period of a periodic solution of a system is evaluated at bifurcation value by using Poincaré Normal Form and Center Manifold Theorem. The results, which are obtained from this analysis, are supported by numerical studies.
Author
Hande Akkocaoğlu
Institution
How to Cite
Hande Akkocaoğlu (Master Thesis). Hopf bifurcation analysis of a delayed differential equation, 2011, TOBB Economics and Technology University.
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