Krieger-Nelson Prize Lecture
- RACHEL KUSKE, UBC
Balancing Complex Dynamics: Interactions of Delays, Time Scales, and Noise [PDF]
Dynamical systems with delayed feedback often exhibit an array
of complex behaviours. These phenomena have been studied in the context of
applications such as mechanical systems and neural dynamics.
Stochastic effects can often change the picture dramatically, particularly
if multiple time scales are present. Recently
the mathematical techniques for canonical models have been transferred
to the study of balance in the context of human postural sway and robotics.
While the similarities facilitate this transfer, differences such
as discontinuous control of balance require new ideas that
allow an analysis of the interplay of nonlinearities, delays, randomness, and
piecewise smooth dynamics. A few preliminary results and many open problems will be discussed.