|Date:||Tue, November 11, 2014|
|Place:||Bremen University MZH 1090|
Abstract: In systems with strong gyroscopic forces, approximate equations for the dynamics on a slow manifold can be found via variational asymptotics. The results generally differ from those obtained by classical Hamiltonian normal form theory. We explain the method, using the non-relativistic limit of the nonlinear Klein-Gordon equation as an example, and prove a shadowing result for this particular case.