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Anna Dittus

Data-based bifurcation and stability analysis of feedback-controlled laboratory experiments

Universität Rostock, 2023

https://doi.org/10.18453/rosdok_id00004538

Abstract: Feedback control methods allow for finding and stabilizing unstable stationary points and periodic orbits. In this doctoral thesis, data-based methods applied to controlled systems are introduced and presented to gain stability information about the originally uncontrolled systems. Complete bifurcation diagrams are obtained for simulated and laboratory experiments while keeping the noninvasive feedback control active. A supplementary control is presented that uses the data-based stability information to continue the curve of bifurcation points for systems depending on an additional parameter.

doctoral thesis   free access