LGRT 1634
In this talk we discuss the dynamics of nonholonomic systems. Nonholonomic systems are mechanical systems subject to nonintegrable constraints on their velocities. They exhibit many interesting properties which are not found in the Hamiltonian case including asymptotically stable equilibria, volume contraction in the absence of external dissipation and a dynamic generalization of Noether's theorem relating symmetries and conservation laws. We discuss examples of such systems as well as generalizations to the infinite setting, systems with impacts and notions of integrability.
Refreshments served at 3:45.