Joint Uni Bremen/Jacobs Colloquium

Marcel Oliver

(Jacobs University)

"Toward a justification of variational asymptotics for multiscale systems with strong gyroscopic forcing"

Date: Tue, November 11, 2014
Time: 17:10
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.