Non-Linear Dynamics and Chaotic Motions in Feedback Controlled Elastic System

摘要

J. Guckenheimer, D. Armbruster (postdoc) and S. Campbell (grad student) and I have continued our work on the global dynamics and bifurcations of O(2) symmetric ODEs. Such systems are obtained as finite dimensional projections or reductions of spatially translation- and reflection-invariant PDES, for example. In 1987/88, partially supported by this grant, we provided a complete analysis of heteroclinic cycles and modulated travelling waves in two mode (k:2K) interacting systems. In particular, we pointed out that heteroclinic cycles are structurally stable features in such systems. (MJM)