Dynamics of bouncing balls

Dynamics of bouncing balls

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Dmitry Dolgopyat, University of Maryland
Fine Hall 401

We consider a ball bouncing off infinitely heavy periodically moving wall in the presence of a potential force. We are interested in the question how large is the set of orbits whose energy tends to infinity. Both smooth and piecewise smooth motions of wall will be considered. We also present some related questions about small piecewise smooth perturbations of nearly integrable systems.