How to increase energy with small effort
Time and place
1 PM on Thursday, February 7th, 2013; NAC 6/113
Marian Gidea (Institute for Advanced Study)
Abstract
We will start with a striking result that a geodesic flow on a manifold with a Riemannian (Finsler, Lorenz) metric, perturbed by an external, time-dependent potential, typically has trajectories whose energy grows to infinity. Then we will discuss some general results on instability in Hamiltonian systems; the systems that we consider consist of coupling of several subsystems, and we show how to preferentially increase the energy of one’s choice of subsystem. Our methods are constructive and can be applied to explicit models. We will also discuss some applications of our methods to various disciplines.
