2 papers
math.DS2017
Effective Hamiltonian Dynamics via the Maupertuis Principle
Hartmut Schwetlick, Daniel C. Sutton, Johannes Zimmer
We consider the dynamics of a Hamiltonian particle forced by a rapidly oscillating potential in -dimensional space. As alternative to the established approach of averaging Ha…
math.AP2014
On the -limit for a non-uniformly bounded sequence of two phase metric functionals
Hartmut Schwetlick, Daniel C. Sutton, Johannes Zimmer
In this study we consider the -limit of a highly oscillatory Riemannian metric length functional as its period tends to 0. The metric coefficient takes values in either $\{1,\in…