Dresden 2006 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.50: Poster

Donnerstag, 30. März 2006, 16:00–18:00, P1

Interchange of Hopf bifurcation between super- and subcritical by using unstable time-delayed feedback control — •Chol-Ung Choe^1,2, Hiroyuki Shirahama^1,3, Klaus Höhne¹, and Hartmut Benner¹ — ¹Institut für Festkörperphysik, TU Darmstadt, Germany — ²Department of Physics, University of Science, Pyongyang, DPR Korea — ³Ehime University, Matsuyama, Japan

We show that robust nonlinear unstable time-delayed feedback control, which has successfully been used to control a torsionfree unstable periodic orbit, provides a tool to convert a subcritical Hopf bifurcation into a supercritical one and vice versa. We present experimental results on a van der Pol - like electronic oscillator showing a sub- or supercritical Hopf bifurcation. The application of the robust control changes the bifurcation type in a limited range of the bifurcation parameter of the circuit. This range can be extended by adopting half-period delay time. These results are supported by analytical theory and numerical simulations.