Joint Mathematics Colloquium
University of Idaho
|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.