Now showing items 1-3 of 3
The Hannay-Berry Phase of the Vibrating Ring Gyroscop
In an analysis published in 1890 G.H. Bryan investigated the retrograde precession of the nodal points in a vibrating, rotating shell and wrote down a formula relating the rate of precession to the rate of rotation. This ...
Degenerate Gradient Flows: A Comparison Study of Convergence Rate Estimates
Degenerate gradient flows arise in the context of adaptive control of linear systems when the usual gradient algorithm is used for the parameter update law. It is well known that in general parameter convergence is not ...
The Berry-Hannay Phase of the Equal-Sided Spring-Jointed Four-Bar Mechanism
In this work we apply the moving systems approach developed by Marsden, Montgomery, and Ratiu to a free-floating, equal-sided, spring-jointed, four-bar mechanism that is being slowly rotated about its central axis and ...