Abstract:
In this thesis, stability and bifurcation analysis of Rikitake model was considered. By the aid of
divergence, the system is proved to be dissipative. Two Steady state points of the equations were
determined. The equations were linearized using Jacobian matrix about each equilibrium points
and yield the same characteristic equation. The local stability condition of each critical point
was proved by using Routh Huwertiz stability criteria. It is impossible to generalize the global
stability property of the two equilibrium point in sense of Lyapunov as one of the condtion is
failed to be satisfied. Furthermore, the result of Hopf bifurcation revealed that the system
undergoes Hopf bifurcation at the two equilibrium points. Finally, in order to verify the
applicability of the result two numerical examples were solved and MATLAB simulation was
implemented to support the findings of the study.
