@Book{1881148955, author="Dittus, Anna", title="Data-based bifurcation and stability analysis of feedback-controlled laboratory experiments", year="2023", address="Rostock", 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.", school="Universit{\"a}t Rostock", note="vorgelegt von Anna Dittus", note="GutachterInnen: Jens Starke (Institut f{\"u}r Mathematik, Universit{\"a}t Rostock) ; Jan Sieber (College of Engineering, Mathematics and Physical Sciences, University of Exeter)", note="Dissertation Universit{\"a}t Rostock 2023", doi="10.18453/rosdok_id00004538", url="https://purl.uni-rostock.de/rosdok/id00004538", url="https://nbn-resolving.org/urn:nbn:de:gbv:28-rosdok_id00004538-9", url="https://d-nb.info/1322529256/34", url="https://doi.org/10.18453/rosdok_id00004538", language="English" }