Master Thesis Equivariant Pyragas control
نویسنده
چکیده
In this thesis we show how the concept of Pyragas control can be adapted to equivariant dynamical systems near Hopf bifurcation. We introduce a control term which uses the spatio-temporal symmetry of the unstable periodic orbit. We give explicit necessary and sufficient conditions for the stabilization of the periodic orbit near equivariant Hopf bifurcation. For the remaining eigenvalues, we can find necessary conditions for the stabilization. We also give two variations of the original control scheme, aiming at a larger control region. In a detailed case study, we show how to apply equivariant Pyragas control.
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