We demonstrate a method for tracking oscillations and their stability boundaries (bifurcations) in nonlinear systems. Our method does not require an underlying model of the dynamical system but instead relies on feedback stabilizability. This gives the approach the potential to transfer the full power of numerical bifurcation analysis techniques from the purely computational domain to real-life experiments.
|Publication status||Published - Mar 2007|
Bibliographical noteAdditional information: Preprint of a paper submitted to EUROMECH Colloquium 483, Geometrically Non-linear Vibrations of Structures, 9–11 July 2007, FEUP, Porto, Portugal
- bifurcation analysis
- coupling delay
- numerical continuation