 
Summary: The Center for Control, Dynamical Systems, and Computation
University of California at Santa Barbara
Fall 2009 Seminar Series
Presents
Continuation of Periodic Solutions in an Experiment
Bernd Krauskopf
Department of Engineering Mathematics
University of Bristol
Friday, November 13, 2009 4:00  5:00 PM ESB 2001
Abstract:
When a mathematical model is available, for example, in the form of a system of ordinary differential
equations, then it is possible to find and follow equilibria, periodic solutions and their bifurcations in sys
tem parameters. Numerical continuation is today a wellestablished tool that is implemented in software
packages such as AUTO, DsTool and Content. However, in many situations it is impractical or even
intractable to derive a mathematical model of the system under consideration. Particular examples are
hybrid engineering tests, where a test specimen of interest (for example, a bridge cable) is tested in the
laboratory as if it were part of the entire structure (the bridge). To this end, the tested part is coupled
dynamically via sensors and actuators to a computer simulation of the remainder of the structure (such
as the bridge deck). The talk presents a continuation method that enables one to continue branches of
solutions, including periodic orbits, directly in an experiment. A controlbased setup in combination with
